f(x)=3x^3-12x^2+9x what the factor

Answers

Answer 1

Answer:

f(x) = 3x(x-1)(x-3)

Step-by-step explanation:

f(x) = 3x³-12x²+9x = 3x(x²-4x+3) =

= 3x(x²-x-3x+3) = 3x[x(x-1)-3(x-1)] =

= 3x[(x-1)(x-3)] = 3x(x-1)(x-3)

Answer 2

Answer:

3x(x - 1)(x - 3)

Step-by-step explanation:

the sum of the coefficients = 3 - 12 + 9 = 0

hence x = 1 is a root of f(x) and (x - 1) is a factor

dividing 3x³ - 12x² + 9x gives

f(x) = (x - 1)(3x² - 9x)

    = (x - 1)3x(x - 3) = 3x(x - 1)(x - 3) ← in factored form


Related Questions

z + mx = yx , for x can you pls give me the answer I need it fast

Answers

z=yx-mx
z=x(y-m)
z/(y-m)=x
Final answer:

To solve the equation Z + mx = yx for x, we first move 'mx' to the right side to get 'yx - mx = Z'. We then factor out 'x' to get 'x(y - m) = Z'. Finally, we divide by '(y - m)' to get 'x = Z / (y - m)'. This solution holds as long as y ≠ m.

Explanation:

Here, we're going to solve the equation for x: Z + mx = yx.

We can start by grouping the terms with 'x' together. This gives us: yx - mx = Z. Now, we can factor x out of the left side of the equation. This results in: x(y - m) = Z. Finally, to solve for x, we divide both sides of the equation by (y - m). This gives us the solution: x = Z / (y - m).

Note: This solution is under the assumption that y ≠ m because division by zero is undefined.

Learn more about algebra here:

https://brainly.com/question/24875240

#SPJ3

polygon A i simllar to polgon B. find the perimeer of polygon B if one side of polygon A is 24 A sde to polygon B is 15 and the perimeter of polgon A is 128

Answers

Answer:

Perimeter of polygon B = 80 units

Step-by-step explanation:

Since both polygons are similar, their corresponding sides and perimeters are proportional. Knowing this we can setup a proportion to find the perimeter of polygon B.

[tex]\frac{side-polygonA}{side-polygonB} =\frac{perimeter-polygonA}{perimeter-polygonB}[/tex]

Let [tex]x[/tex] be the perimeter of polygon B. We know from our problem that the side of polygon A is 24, the side of polygon B is 15, and the perimeter of polygon A is 128.

Let's replace those value sin our proportion and solve for [tex]x[/tex]:

[tex]\frac{side-polygonA}{side-polygonB} =\frac{perimeter-polygonA}{perimeter-polygonB}[/tex]

[tex]\frac{24}{15} =\frac{128}{x}[/tex]

[tex]x=\frac{128*15}{24}[/tex]

[tex]x=\frac{1920}{24}[/tex]

[tex]x=80[/tex]

We can conclude that the perimeter of polygon B is 80 units.

Answer:80 units

Step-by-step explanation:

I'm doing it right now. You got this have a great day!

what is the relationship between turning points of a graph and its derivative function​

Answers

Answer:

see explanation

Step-by-step explanation:

Given a function f(x)

Then at the turning points the derivative of f(x) equals zero, that is

f'(x) = 0 at the turning points

Find the solution set. (x+7)(x+7)=0

Answers

For this case we must find the solution of the following expression:

[tex](x + 7) (x + 7) = 0[/tex]

If we isolate a term and we equate to zero, we have:

[tex]x + 7 = 0[/tex]

Subtracting 7 on both sides of the equation we have:

[tex]x + 7-7 = 0-7\\x = -7[/tex]

Thus, the solution of the expression is given by:

[tex]x = -7[/tex]

ANswer:

[tex]x = -7[/tex]

Answer:

x = -7, multiplicity 2.

Writing it as a set it is {-7, -7}.

Step-by-step explanation:

(x + 7)(x + 7 )= 0

When 2 expressions are multiplied and the result is zero either of them can be zero, so

x + 7 = 0

x = -7.

In this case, since the 2 factors are the same, there are duplicate roots.

We write  this as  x = -7, multiplicity 2.

Can someone help me with this I’ll give brain

Answers

Answer:

-65/2

Step-by-step explanation:

I am just a natural genius ;)

Answer:

see explanation

Step-by-step explanation:

Evaluate the parenthesis before multiplication

4² = 4 × 4 = 16 and

( [tex]\frac{1}{2}[/tex] )² = [tex]\frac{1}{2}[/tex] × [tex]\frac{1}{2}[/tex] = [tex]\frac{1}{4}[/tex]

Thus 16 + [tex]\frac{1}{4}[/tex] = 16 [tex]\frac{1}{4}[/tex] = [tex]\frac{65}{4}[/tex]

Hence

- 2 × [tex]\frac{65}{4}[/tex] = [tex]\frac{-2(65)}{4}[/tex] = - [tex]\frac{65}{2}[/tex] = - 32 [tex]\frac{1}{2}[/tex]

I need both really bad please and thank you

Answers

Answer:

15. Option A is correct

16. Option B is correct.

Step-by-step explanation:

Question 5:

sin2Ф = 2sinФcosФ

We are given sinФ = 9/13

and we need to find cosФ in order to find sin2Ф

We know that sin^2Ф + cos^2Ф= 1

so, cos^2Ф = 1- sin^2Ф

cos^2Ф = 1- (9/13)^2

cos^2Ф = 88/169

taking √ on both sides:

√cos^2Ф = √88/169

cosФ = (2√22)/13

Now

sin2Ф = 2sinФcosФ

          = 2 (9/13) (( 2√22)/13)

sin 2Ф = 36√22 / 169

Now we find cos2Ф

The formula for cos2Ф = cos^2Ф - sin^2Ф

cos2Ф = ((2√22)/13)^2 - (9/13)^2

cos2Ф = 4*22 /169 - 81/169

cos2Ф = 7/169

So, Option A is correct

Question No 6

We need to find sin2Ф and cos2Ф where cosФ = 6/13

We are given cosФ = 6/13

and we need to find sinФ in order to find sin2Ф and cos2Ф

We know that sin^2Ф + cos^2Ф= 1

so, sin^2Ф = 1- cos^2Ф

sin^2Ф = 1- (6/13)^2

sin^2Ф = 133/169

taking √ on both sides:

√sin^2Ф = √133/169

sinФ = √133/13

Now

sin2Ф = 2sinФcosФ

          = 2 (√133/13) (6/13)

sin2Ф  = 12√133 / 169

Now we find cos2Ф

The formula for cos2Ф = cos^2Ф - sin^2Ф

cos2Ф =  (6/13)^2 - (√133/13)^2

cos2Ф = 36/169 - (133/169)

cos2Ф = -97/169

Since the quadrant is 1st so, cos2Ф will be Positive i.e. 97/169

cos2Ф = 97/169

So, Option B is correct.

factor the expression below x^2 + 12x + 36

Answers

Answer:

(x + 6)²

Step-by-step explanation:

This is a perfect square of the form

(x + a)² = x² + 2ax + a²

here a² = 36 ⇒ a = 6 and 2ax = 2 × 6x = 12x

Hence

x² + 12x + 36 = (x + 6)²

Answer:

(x+6)(x+6)

Step-by-step explanation:

This Data set represents the number
of children in 8 families

4,2,1,2,4,2,6,3

The mean of this data set is 3. what is the mean absolute deviation

A. 1.25
B. 3
C. 3.3
D. 8

Answers

Answer:

The answer would be A. 1.25

The graph represents Daniel's bike ride to the ball park. Determine the slope from point D to point E. What does the slope indicate about Daniel's speed between points D and E?
A) 1; The slope indicates that Daniel's speed is 1 meter per minute.
Eliminate
B) undefined; The slope indicates that Daniel's speed varies from minute to minute.
C) 0; The slope indicates that Daniel is not moving.
D) −1 The slope indicates that Daniel's speed is less than 1 meter per minute..

Answers

Answer:

The correct answer to this problem is

C) 0; The slope indicates that Daniel is not moving.

Step-by-step explanation:

I know this because I just did the test

Final answer:

The slope from point D to point E on the graph represents Daniel's speed between these two points. The slope is 10 meters per minute.

Explanation:

The slope from point D to point E on the graph represents Daniel's speed between these two points. To determine the slope, we need to find the change in position and the change in time between the two points. The slope is calculated by dividing the change in position by the change in time.

Let's assume that the change in position from D to E is 100 meters and the change in time is 10 minutes. The slope would then be 100 meters divided by 10 minutes, which is equal to 10 meters per minute.

Therefore, the correct answer is A) 10; The slope indicates that Daniel's speed is 10 meters per minute.

Find the range and interquartile range of the
data. Round to the nearest tenth.
259, 125, 158, 168, 187,334, 198

Answers

Answer: the range is 209

Step-by-step explanation: the biggest number minus the smallest will give you the range

The answer is 209. Hope this helps

let f(x) =2x and g(x)= x - 2 the graph of (f.g )(x) is shown below


What is the domain of ?


x >0

all real numbers except x =0

x <0

all real numbers

Answers

Answer:

The domain of the graph is all real number ⇒ the last answer

Step-by-step explanation:

* Remember that our original exponential formula was y = ab^x

- The b value is the growth factor

* Lets revise how to find the domain of this function

- The domain is all values of x that make the function defined

* Lets revise the composite function

- A composite function is a function that depends on another function.

- A composite function is created when one function is substituted

 into another function.

- For example, f(g(x)) is the composite function that is formed when

 g(x) is substituted for x in f(x).

∵ f(x) = 2^x

∵ g(x) = x - 2

∴ (f · g)(x) = f(x - 2)

∵ f(x) = 2^x

∴ (f · g)(x) = f(x - 2) = 2^(x - 2)

- For this function there is no values of x make the function undefined

∴ The Domain is all real numbers

- Look to the graph, the values of x go from -∞ to ∞

* The domain of the graph is all real number

help me with this too and god bless :3 o,o

Answers

Answer:

For the first pic its mode interval and median for the second pic its frequency table.

Step-by-step explanation:

help plz thank you so so much

Answers

Answer:

[tex]\frac{95}{99}[/tex]

Step-by-step explanation:

The bar above 95 denotes that 95 is repeated, that is

0.959595,,,,

Create 2 equations with the repeating values after the decimal point, thus

let x = 0.9595.... → (1) ← multiply both sides by 100

100x = 95.9595.... → (2)

Subtract (1) from (2) eliminating the repeated value, so

99x = 95 ( divide both sides by 99 )

x = [tex]\frac{95}{99}[/tex]

Without calculating, which has a bigger volume. A cube that has a length, width, and height of 18 m. Or a sphere with a radius of 9 m? Explain.

Answers

Weird. A period appears above this... huh.

Answer:

[Th]e cube has a greater value.

Step-by-step explanation:

What the word problem really wants us to get [is ]the question of 'Which is greater, A=6a^2 when 'a' [is] 18 or A=4[tex]\pi[/tex]r^2 when r = 9? And here's how to solve that.

Starting with the[ c]ube we have A=6a^2. A bit t[o]o simple, right?

A=6(18)^2 Substitute numbers.

A=6(324) Solve ex[p]onents.

A=1944 Mult[i]ply.

So w[e] know that the cube is 1944 meters cube[d ] in area. But what about the more [f]ormidable sphere? Fo[r] it we need a slightly m[o]re co[m]plicated formula, A=4[tex]\pi[/tex]r^2. However, instead of using the real pi I will be rounding to 3.14, since we have no calculator so anything more would take way too long and fry your[ bra]in.

A=4(3.14)(9)^2 Subst[i]tute numbers.

A=4(3.14)(81) Solve expone[n]ts.

A=12.56(81) Multip[ly].

A=1017.36 Multiply again[.]

Now, since I'm sure all of us can count, we know that 1944 is greater than 1017.36. Or in other words, the cube is bigger than the sphere.

And PLEASE don't copy this guys. Make your own iteration. Change it up!

Angle A and Angle B are Complementary Angles. If Angle A measures 40 degrees, what is the measure of Angle B? *
40 degrees
45 degrees
50 degrees
140 degrees

Answers

Answer:

50 degrees

Step-by-step explanation:

If angle A and angle B are complementary, that would mean that their sum is 90 degrees. A + B = 90 . We know that angle A is 40, so 40 + B = 90. It becomes a one step equation. Subtract both sides by 40. 90 - 40 = 50. Angle B is equal to 50 degrees.

Answer:

50 degrees

Step-by-step explanation:

we know that

If two angles are complementary, then their sum is equal to 90 degrees

so

A+B=90°

we have

A=40°

substitute and solve for B

40°+B=90°

B=90°-40°=50°

Determine the vertex of the function f(x) = 2(x − 5)2 + 8.

(8, −5)
(8, 5)
(−5, 8)
(5, 8)

Answers

Answer:

Vertex ( 5 ,8) .

Step-by-step explanation:

Given  : f(x) = 2(x − 5)² + 8.

To find : Determine the vertex of the function .

Solution : We have given

f(x) = 2(x − 5)² + 8.

Vertex form of parabola  : f (x) = a(x - h)² + k, where (h, k) is the vertex.

On comparing f(x) = 2(x − 5)² + 8. with vertex form of parabola.

a = 2 , h = 5 , k = 8 .

Vertex ( 5 ,8) .

Therefore, Vertex ( 5 ,8) .

Answer: (5,8)

Step-by-step explanation:

The given function :[tex]f(x) = 2(x - 5)^2 + 8.[/tex]

We know that the vertex form of a quadratic equation is given by :

[tex]f (x) = m(x - a)^2+ b[/tex]   (1)

, where (a,b)= Vertex of the function f(x).

When we compare the given function [tex]f(x) = 2(x - 5)^2 + 8.[/tex] to equation (1) , we conclude that the given function is already in its vertex form.

with a= 5 and b= 8

Therefore , the vertex of the function [tex]f(x) = 2(x - 5)^2 + 8.[/tex] = (5,8)

The center of Circle D is (0,0). The circumference of the circle passes through Point E (-7,-4).
Find the length of the radius of Circle D.

Answers

Answer:

[tex]\boxed{\sqrt{65}}[/tex]

Step-by-step explanation:

The radius of circle D is the distance from the origin to (-4, -7).

In math, the distance formula gives us the distance between two points, (x₁, y₁) and x₂, y₂):

[tex]d = \sqrt{(x _{2}-x_{1})^{2} +(y _{2}-y_{1})^{2}}[/tex]

You are really using Pythagoras' Theorem to find the distance. You are building a right triangle whose hypotenuse connects two given points.  

For example, in the blue triangle below, the distance between the points (0,0) and (-4, -7) is

[tex]d = \sqrt{(0 - (-4))^{2} +(0 -(- 7))^{2}}\\\\ = \sqrt{4^{2} +7^{2}}\\ = \sqrt{16 + 49}\\=\sqrt{65}[/tex]

[tex]\text{The radius of the circle is }\boxed{\mathbf{\sqrt{65}}}[/tex]

Given that (-8,-8) is on the graph of f(x), find the corresponding for the function f(x)+5.

Answers

ANSWER

[tex](-8, - 3)[/tex]

EXPLANATION

Given that: (-8,-8) is on f(x).

Then we can write (-8,f(-8)) is on f(x).

The corresponding point on

[tex]f(x) + 5[/tex]

will be

[tex](-8,f(-8)+5)[/tex]

We substitute f(-8)=-8 to obtain;

[tex](-8, - 8+5)[/tex]

This simplifies to

[tex](-8, - 3)[/tex]

Therefore the corresponding point on f(x)+5 is (-8,-3).

I need help on NS part b plz help me!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

Step-by-step explanation:

Any number between 0.390 and 0.400 will work.  For example, 0.391, 0.392, and 0.393.

Josh​ simplified 4x - 8x ÷ 2 and said the answer was -2x. What was josh's error? What should his answer have been?

Answers

Answer:

see explanation

Step-by-step explanation:

Given

4x - 8x ÷ 2

Under the rules of PEMDAS , division must be performed before subtraction.

Hence

4x - 8x ÷ 2 = 4x - 4x ← dividing - 8x by 2, then

4x - 4x = 0 ← correct answer

17) There are 15 boys and 18 girls in seventh grade. Find the ratio of boys to girls in seventh grade.

18) Janet bought 12 guavas and 16 apples. What is the ratio of guavas to apples?

19) Sandy has 8 candies and Tabitha has 10 candies. Find the ratio of Sandy’s candies to Tabitha’s candies.

20) For a birthday party, Evelyn orders 10 chicken pizzas and 15 vegetable pizzas. Find the ratio
of chicken pizzas to the vegetable pizzas.

21) In a local animal sanctuary, there are 48 deer and 64 monkeys. Find the ratio of deer to monkeys.

22) Gerry scored 56 in Math and 84 in Science. Find the ratio of his scores in Math to Science.

23) A fruit seller bought 75 mangoes and 125 apples from vendor. Find the ratio mangoes to apples bought.

24) Yulee primary school maintains a library with 81 English books to every 90 Math books. Find the ratio of English books to the Math books.

Answers

17) 5:6

18) 3:4

19) 4:5

20) 2:3

21) 3:4

22) 2:3

23) 3:5

24) 9:10

These answers are all simplified ratios

Final answer:

The questions involve finding the ratio of two quantities and simplifying them by dividing both numbers by their greatest common divisor. Each ratio gives a comparative relationship between two different counts of items or scores in different subjects.

Explanation:

The questions provided all relate to finding the ratio of two quantities.

The ratio of boys to girls in seventh grade is 15:18, which can also be simplified to 5:6 by dividing both numbers by 3.The ratio of guavas to apples Janet bought is 12:16, which simplifies to 3:4 after dividing both numbers by 4.For Sandy and Tabitha's candies, the ratio is 8:10, which simplifies to 4:5 once both numbers are divided by 2.Evelyn orders chicken and vegetable pizzas at a ratio of 10:15, which is equal to 2:3 after dividing both numbers by 5.In the animal sanctuary, the ratio of deer to monkeys is 48:64, simplifying to 3:4 after dividing by 16.Gerry's scores in Math to Science are at a ratio of 56:84, which can be reduced to 2:3 by dividing by 28.The ratio of mangoes to apples the fruit seller bought is 75:125, simplified to 3:5 after dividing both by 25.Lastly, the ratio of English books to Math books in Yulee primary school's library is 81:90, which simplifies to 9:10 upon division by 9.

In each case, the ratio is found by comparing two quantities and simplifying by dividing both numbers by their greatest common divisor (GCD).

Suppose y varies directly as x, and y = 8 when x = -2. Which of the following is the correct equation to set up to solve for the constant of variation?

A) 8 = k(-2)

B) -2 = k(8)

C) -2/8 = k/1

D) k = (-2) - 8

Answers

[tex]\bf \qquad \qquad \textit{direct proportional variation} \\\\ \textit{\underline{y} varies directly with \underline{x}}\qquad \qquad y=kx\impliedby \begin{array}{llll} k=constant\ of\\ \qquad variation \end{array} \\\\[-0.35em] ~\dotfill\\\\ \begin{cases} y=8\\ x=-2 \end{cases}\implies 8=k(-2)[/tex]

1

2

3

4

5

6

7

8

9

10



 The length of a rectangle is 6 inches, and the width is 5 inches. When each dimension is increased by x inches, the area triples. Which equation models this situation?

A)(6x)(5x) = 60B)(6x)(5x) = 90C)(x + 6)(x + 5) = 60D)(x + 6)(x + 5) = 90​

Answers

Answer:

D

Step-by-step explanation:

Before the increase, the length is 6 and the width is 5, so the area is 5×6 = 30.

After the increase, the length is x+6, the width is x+5, and the area is tripled: 30×3 = 90.

Therefore:

(x+6) (x+5) = 90

DUDE washed 5 windows in 35 minutes. At this rate, how long
will it take DUDE to wash 12 windows?

Answers

Answer:

35/5 = 7 Minutes per Window thus: 12*7 = 84 Minutes

Step-by-step explanation:

Answer:

84 minutes or 1 hour and 24minutes

Step-by-step explanation:

12*35=420

420/5=84

(HELP ASAP PLEASE)
Band students are tested on, and required to pass, a certain number of scales during the year. As of today, Nick has passed 5 scales, whereas his friend Mary has passed 12 of them. Going forward, Nick has committed to passing 4 scales per week, and Mary has committed to passing 3 per week. At some point soon, the two friends will have passed the same number of scales. How many scales will that be? How long will that take?


The friends will each have passed ___ scales in ___ weeks.

Answers

Answer:

The friends will each have passed _33_ scales in _7_ weeks.

Step-by-step explanation:

We must write an equation for the number of scales that Nick approves and an equation for the number of scales that Mary approves.

For Nick we have:

5 initial scales

Nick has committed to approve 4 scales per week. Let's call x the number of weeks.

So the number of scales and for Nick is:

[tex]y = 5 + 4x[/tex]

For Mary we have:

12 initial scales

Mary has committed to approve 3 scales per week. Let's call x the number of weeks.

So the number of scales and for Mary is:

[tex]y = 12 + 3x[/tex]

To know when the two friends have passed the same number of scales we must equal both equations and solve for x:

[tex]12 + 3x = 5 + 4x[/tex]

[tex]12-5= 4x-3x[/tex]

[tex]x= 7\ weeks[/tex]

And

[tex]y=12+3*7\\\\y=33\ scales[/tex]

Final answer:

Nick and Mary will both have passed 33 scales in 7 weeks. This is determined by setting the equation for the number of scales Nick will pass equal to the number for Mary and solving for the number of weeks.

Explanation:

To determine when Nick and Mary will have passed the same number of scales, we can set up an equation based on the given information. Nick has currently passed 5 scales and will pass 4 scales each week. Mary has passed 12 scales and will pass 3 scales each week. The point at which they will have passed the same number of scales is when their total passed scales are equal.

Let's denote the number of weeks it will take to reach this point as w. For Nick, the total number of scales passed after w weeks will be 5 + 4w (his current count plus 4 times the number of weeks). For Mary, it will be 12 + 3w (her current count plus 3 times the number of weeks). Setting these two expressions equal to each other:

5 + 4w = 12 + 3w

Subtract 3w from both sides:

5 + w = 12

Subtract 5 from both sides:

w = 7

So, it will take 7 weeks for Nick and Mary to have passed the same number of scales. At that point, to find the total number of scales:

Nick: 5 + 4 x 7 = 33 scales

Mary: 12 + 3 x 7 = 33 scales

The friends will each have passed 33 scales in 7 weeks.

a maple tree is 4.2 meters tall. A pine tree is 1.02 shorter that the maple tree. An oak tree is 1.89 taller than the pine tree . How tall is the oak tree?

Answers

Answer:

7.782352941

Step-by-step explanation:

4.2 divided by 1.02 the multiply the out come of that by 1.89 to get 7.782352941

Identify the roots of the quadratic function.
A) x = 0 and x = 4

B) y = 0 and y = 4

C) x = 0 and x = -4

D) y = 0 and y = -4

Answers

Answer:

A. x=0 and x=4

Step-by-step explanation:

The roots of a quadratic function are the x intercepts of the parabola. In this case, the roots are 0 and 4 because the parabola intercepts the x axis twice in these points.

Your answer is A. x=0 and x=4

Hope I helped!

Answer:

A

Step-by-step explanation:

you have 13 coins in your wallet some are nickels and some are dimes altogether you have 0.85. how many nickels do you have

Answers

Answer:

4 Dimes

9 Nickels

Step-by-step explanation:

I did guess and check (if you have an equation leave a comment or answer!)

So I did kept playing with the numbers making them go down until I could subtract the number of coins and divide to get the rest:

85-40 (4 dimes)=45

45/5=9 nickels

4+9=13

I hope this helps!

To solve for the number of nickels and dimes amounting to $0.85 in 13 coins, we set up and solve a system of equations. We found that there are 9 nickels and 4 dimes in the wallet.

To find out how many nickels you have when you have 13 coins composed of nickels and dimes amounting to $0.85, we can set up a system of equations where the number of nickels is represented by n and the number of dimes by d.

The first equation comes from the total number of coins: n + d = 13.

The second is derived from the total amount of money: 0.05n + 0.10d = 0.85.

We have two equations:

n + d = 13

0.05n + 0.10d = 0.85

Now, let's multiply the second equation by 20 to get rid of the decimals:

n + 2d = 17

By subtracting the first equation from this new equation:

d = 4

Substitute d back into the first equation:

n + 4 = 13

Thus:

n = 9

So you have 9 nickels and 4 dimes.

What is the distance of the segment formed by joining the following two points on a coordinate plane? (8,4) and (-7,-4)

Answers

Answer:

17

Step-by-step explanation:

Use the distance equation.

d² = (x₁−x₂)² + (y₁−y₂)²

The order doesn't matter.  If I choose (x₁, y₁) to be (8, 4) and (x₂, y₂) to be (-7, -4), then:

d² = (8−(-7))² + (4−(-4))²

d² = 15² + 8²

d² = 289

d = 17

Final answer:

The distance between the points (8,4) and (-7,-4) on a coordinate plane is 17 units.

Explanation:

In order to find the distance between two points on a coordinate plane, we can use the distance formula, which is derived from the Pythagorean theorem. The distance formula is:

d = √((x2 - x1)^2 + (y2 - y1)^2)

Using the points (8,4) and (-7,-4), we can substitute the x and y values into the formula:

d = √((-7 - 8)^2 + (-4 - 4)^2)

d = √(225 + 64)

d = √289

d = 17

Therefore, the distance of the segment formed by joining the two given points is 17 units.

Help help help math image:

Answers

Answer:

13. 90

14. 43

15. 146

Other Questions
Find the first five terms of the describedsequence: Start with 6 and add 7 repeatedly.State whether the sequence is arithmetic,geometric, both, or neither. Please help find surface area!! 2.5% of what number of candies is 425 candies Maria has three children. There is two years age difference between each child. The total ages of all three children is 36 years. Rosa is the youngest child. How old is Rosa? What was the outcome of the Opium Wars? A) British missionaries were thrown out of China. B) British merchants were forbidden to trade in China. C) British opium addicts had to find new drug sources. D) British gunboats forced China to make major concessions. What is the subject of the teacher announcement "Do you own a dog?" might be an example of which concept? Pneumograph Detection cue Control question Baseline answer What is the most important work of congress? What are two things that congress does not have power to do? Jasmine traveled 4 miles in 15 minutes on her bike. She went at the same speed for another hour. How far had she traveled during the entire hour and 15 minutes? Find a polynomial of degree three: y = b3x 3 + b2x 2 + b1x + b0 that best fits the points (3, 4),(1, 2),(1, 1),(6, 5),(7, 9)Matrix = 3 4 1 1 2 1-1 1 1 6 5 1 7 9 1Answers should be formatted in:b3 =b2 =b1 =b0 = What does the character Mr. Linder most likely symbolize a little help with this please fast fast thank Which of the following shows how energy is transferred from organism to organism? (2 points) Food webs Food chains Food trails Food squares 40 POINTS PLEASE HURRYThe recipe for a batch of applesauce uses 2 1/2 pounds of apples. If Michael wants to make 3/4 of a batch of applesauce, how many pounds of apples will he need?A. 3/10 of a poundB. 8/15 of a poundC. 1 7/8 of a poundD.3 1/3 of a pound In what way did the Islamic Empire and the Roman Catholic Church differ?A. The Islamic Empire wanted to spread Islam as far as possible, but theRoman Catholic Church had no interest in spreading religion.500 toB. The Islamic Empire had very little control over economic issues, but theRoman Catholic Church grew wealthy through its control of trade.C. The Islamic Empire forced the people it conquered to convert to Islam,but the Roman Catholic Church adapted to the beliefs of other religions.D. The Islamic Empire directly governed the people it controlled, but theRoman Catholic Church relied only on its influence with rulers. Jillian has a condition called agenesis of the uterus a woman with this condition is born without a uterus what type of infertility treatment will suit Jillian One number is 20 more than another. If the the greater number is increased by 4, the result is five times the smaller. Find the two numbers what does the roots and the stem do differently? Select the true statement. ANSWER Unselected Anions are smaller than their neutral parent atoms because there are fewer electrons competing for the attractive force of the protons in the nucleus. Unselected Anions are smaller than their neutral parent atoms because there are more electrons competing for the attractive force of the protons in the nucleus. Unselected Cations are smaller than their neutral parent atoms because there are fewer electrons competing for the attractive force of the protons in the nucleus. Unselected Cations are smaller than their neutral parent atoms because there are more electrons competing for the attractive force of the protons in the nucleus. Unselected Over the last several decades, scientists have addressed the problem of nonrenewable natural resources such as fossil fuels. Humans are using fossil fuels at a rapid rate and scientists believe that one day we will run out of them. To solve this problem, research has been conducted on alternative energy sources. One alternative energy source is nuclear energy. Although nuclear energy is a good solution to this problem, there are concerns. All BUT ONE of these describe a concern about nuclear energy.A)presence of radioactive wasteB)little if any carbon emissions released into the airC)contamination risk when transporting radioactive materialsD)thermal pollution from water released into nearby environment Steam Workshop Downloader