Which graphed line represents an equation of a line with a slope of 2 and a point on the line of (1, 2)? A) red line B) blue line C) green line D) purple line

Answer:

[tex]\large\boxed{x=8\sqrt2}[/tex]

Step-by-step explanation:

[tex]\bold{METHOD\ 1}\\\\\text{Use the Pythagorean theorem:}\\\\leg^2+leg^2=hypotenuse^2\\\\\text{We have}\ leg=8,\ leg=8,\ hypotenuse=x.\\\text{Substitute:}\\\\x^2=8^2+8^2\\\\x^2=2(8^2)\to x=\sqrt{2(8^2)}\qquad\text{use}\ \sqrt{ab}=\sqrt{a}\cdot\sqrt{b}\\\\x=\sqrt2\cdot\sqrt{8^2}\qquad\text{use}\ \sqrt{a^2}=a\\\\x=8\sqrt2[/tex]

[tex]\bold{METHOD\ 2}\\(look\ at\ the\ picture)\\\\\text{We have}\ a=8.\ \text{Therefore}\ a\sqrt2=8\sqrt2[/tex]

well, that week she earned her salary $240 plus 3% of 3500, hmmmm what is 3% of 3500?

[tex]\bf \begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{3\% of 3500}}{\left( \cfrac{3}{100} \right)3500}\implies 105~\hspace{7em} \begin{array}{|c|ll} \cline{1-1} total~salary\\ \cline{1-1} 240+105\\ 345 \\ \cline{1-1} \end{array}[/tex]

At least means that the number could either equal 6 or be greater than 6.

The inequality would be: n ≥ 6

Answer:

the answer would be your first option n > 6

Step-by-step explanation: It is the first option because at least means no less than (blank). In this case, it is 6. And having the greater than and less than signed underlined means you can have it up to your number and including that number.

Hope this helped!!! (pardon the confusing explanation)

Answer:

1 inch : 5 yards.

Step-by-step explanation:

Paco's first scale was 2 : 5 which is 1 : 2.5.

Now as the length of the pool on the drawing was reduced from 10 in to 5 ins,  that means the scale was doubled so the answer is:

1 : 2*2.5 = 1 : 5 .

Similar triangles are those triangles whose corresponding sides are in the same ratio. The area of the ΔDEF is 9.6 inches².

Similar triangles are those triangles whose corresponding sides are in the same ratio. And the corresponding angles measure the same.

For similar triangles, the ratio of their area is equal to the square of the ratio of their sides. Therefore, we can write for the given triangles,

(Area of ΔDEF)/(Area of ΔABC) = (4/5)²

Area of ΔDEF = (16/25) × 15 in²

Area of ΔDEF = 9.6 in²

Hence, the area of the ΔDEF is 9.6 inches².

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The scatter plot diagram that represents the data that is shown in the given table is; Attached below

We are told that;

x-axis represents the beginning balance in thousands of dollars.

y-axis represents the change in the bank account in hundreds of dollars.

Now, this means the values on the x-axis in plotting order from left to right with their corresponding y-values are;

x - values = 4, 7, 2, 3, 1, 5, 2, 4

y - values = 7, 5, 3, 4, 6, 3, 1, 2

Thus, to plot the scatter diagram, we will enter the correpsonding x and y cordinate values which is seen in the scatter diagram attached.

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Answer: For future students, this is the answer. Check the photo. I'm from k12, Have a great day :)

Step-by-step explanation:

Answer:

Step-by-step explanation:

The slanting line has a slope of approximately 1, so the angle this line makes with the horiz. axis is approx. 45 degrees.

Answer:

B

Step-by-step explanation:

It's not going to be a right angle. The two lines of a right angle are perpendicular. A is incorrect.

C is incorrect. 85o is pretty close to 90 degrees. That angle is nowhere's near that large.

D is incorrect. 160 degrees is nearly a straight line. The angle shown isn't.

That leaves B.

B looks to be 45 degrees and since the others are incorrect, B must be your answer.

Answer:

the awnser would be a tangent of the plate     i hope this helps

Step-by-step explanation:

Answer:

c. Radius of the plate

Step-by-step explanation:

The radius of a circle is a segment that goes from the center of the circumference to any point of the perimeter of the circumference, as the plate is a circle, and you have a straight line going from the center of the circumference to a point in the perimeter it is a radius.

Answer:

Kwan's work

Step-by-step explanation:

The given equation is:

[tex]\frac{w}{13.5}=9.7[/tex]

We multiply both sides by 13.5 to obtain:

[tex]\frac{w}{13.5}\times 13.5=9.7\times 13.5[/tex]

We simplify to get;

[tex]w=9.7\times 13.5[/tex]

We multiply out the RHS to get:

[tex]w=130.95[/tex]

Answer:

kyan's work

Step-by-step explanation:

i did the test

The answer is $9.56.

Hope this helps!

He should leave $ 9.566 as tip.

What is a tip ?

A tip is the % of the total value of your bill you leave for the waiter or the person who gave you the service.

It is completely optional and the % is a variable depending upon various factors.

It is given in the question that

John goes out to eat at a local restaurant

The bill comes to $47.83.

John want to leave a 20% tip

the value of tip in $ = ?

The tip will be equal to

(20/100) * 47.83

(1/5) * 47.83

$ 9.566

Therefore he should leave $ 9.566 as tip.

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Answer:

see explanation

Step-by-step explanation:

Either both equations are equal or are multiples of each other

As an example consider the 2 equations

4x - y = 2 → (1)

- 12x + 3y = - 6 → (2)

Multiply (1) by - 3

- 12x + 3y = - 6 → (3)

Subtract (3) from (2) term by term

(- 12x - (- 12)x) + (3y - 3y) = (- 6 - (- 6)), that is

(- 12x + 12x) + 0 = - 6 + 6

0 = 0

This indicates the solution has infinite solutions

let x = k, k is a real number then from (1) y = 4x - 2 ⇒ y = 4k - 2

Thus (k, 4k - 2) will generate solutions to the system of equations

recall that to find the x-intercept we set y = 0 and solve for "x".

and to find the y-intercept, we set x = 0 and solve for "y", so let's do so

x = 0, so then the equation turns into

y = 3x² + 5x - 2

y = 3(0)² + 5(0) - 2

y = -2

when x = 0, y = -2, ( 0 , -2 ).

Answer:

C. [tex]y=3\cdot 5^x[/tex]

Step-by-step explanation:

First two options show linear function and last two options show exponentioal functions. From the table you can see that

[tex]\dfrac{3}{5}=5\cdot \dfrac{3}{25}\\ \\3=5\cdot \dfrac{3}{5}\\ \\15=5\cdot 3\\ \\75=5\cdot 15[/tex]

This gives you that the function is exponential. Let the expression for the function be [tex]y=ab^x.[/tex] Substitute two values:

at x=0:

[tex]y=a\cdot b^0\\ \\3=a\cdot b^0\\ \\3=a\cdot 1\\ \\a=3[/tex]

at x=1:

[tex]y=a\cdot b^1\\ \\15=a\cdot b\\ \\15=3\cdot b\\ \\b=\dfrac{15}{3}\\ \\b=5[/tex]

Hence

[tex]y=3\cdot 5^x[/tex]

Answer:

Last Choice: 6 * 3 * 3 square inches

Step-by-step explanation:

The net is made up of 6 squares. Each square measures 3 inches by 3 inches. The area of one square is 3 * 3 square inches. The total surface is 6 times the area of one square.

Answer: 6 * 3 * 3 square inches

Answer:

{(3^-1)(5^2)/(3^2)(5^-4)}^1/3= 25/3

Step-by-step explanation:

(3^-1)(5^2)/(3^2)(5^-4)

=(5^6/3^3)^1/3

=(5^6/27)^1/3

=∛5^6/27 (find the cube root)

=5^2/3

=25/3

Answer:

All values at which g has a local maximum = {-2, 3}

All local maximum values of g =  {-3, -1}

Step-by-step explanation:

All values at which g has a local maximum can be found by locating all points of crest which are at (-2,3), (3,-1)

All values at which g has a local maximum means write the x-coordinates only so the answer is given by {-2, 3}

All local maximum values of g means write the y-coordinates only so the answer is given by {-3, -1}

Hence final answer is given by:

All values at which g has a local maximum = {-2, 3}

All local maximum values of g =  {-3, -1}

Answer:

y = (-1/4)x + 4 is the equation of the line in slope-intercept form.

Step-by-step explanation:

When graphing the line I like to do it from left to right. Start at the point (0,4) which is the y-intercept as a coordinate. Slope is rise over run so now go down 1 unit and 4 units to the right. Keep doing that pattern and then connect the points to form a line. Make sure to put arrows on the ends to represent that the line goes on forever in both directions. Going right to left you could go up 1 unit and 4 units to the left as well. I hope this helps.

y = (-1/4)x + 4 is the equation of the line in slope-intercept form.

A straight line's general equation is y = mx + c, where m denotes the gradient and y = c denotes the point at which the line crosses the y-axis. On the y-axis, this value c is referred to as the intercept. Key Concept. Y = mx + c represents the equation of a straight line with gradient m and intercept c on the y-axis.

Given

m = -1/4

c = 4

y = mx+c

y = -1/4 x + c

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Answer:

53

Step-by-step explanation:you have to do it youself

4064.8 pi or 12763.6

The volume of a sports ball with a diameter of 29 cm can be calculated using the formula for the volume of a sphere, resulting in approximately 12,719 cubic centimeters for its volume.

The volume of a sphere (such as a sports ball) can be determined using the formula V = 4/3πr³, where V represents volume and r represents the radius of the sphere. In the situation you described, the sports ball has a diameter of 29 cm which means the radius (r) is half of that or 14.5 cm. Plugging these values into the formula gives us:

V = 4/3π(14.5)³ ≈ 12,718.951 cm³

So, the volume of the sports ball is approximately 12,719 cubic centimeters.

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Answer:

Each burrito platter costs $_31_ and each taco platter costs $_23__ .

Step-by-step explanation:

Let's first express both orders into equations.  Let's simply use b for the burritos platters and t for the tacos platters:

4b + 5t = 239

3b + 5t = 208

We can use the subtraction method easily on this one:

4b + 5t = 239

-

3b + 5t = 208

==============

1b + 0t = 31

b = 31

So, the burrito platters ost $31 each.

Now, let's find how much are the tacos ones.  Just take the first equation:

4(31) + 5t = 239

124 + 5t = 239

5t = 115

t = 23

Taco platters cost $23.

Let's test that with the second equation:

3b + 5t = 208

3(31) + 5(23) = 208

93 + 115 = 208

208 = 208

Verified!

Answer:

3  5  30  32

Step-by-step explanation:

The question in English is

The age of 4 members of a family adds up to 70. Mom is 6 times bigger than her son and 10 times bigger than her daughter. Dad is 2 years older than Mom. How old are each of the family members? Write the result in ascending order and separated by spaces

Let

x----> Mon's age

y----> Son's age

z----> Daughter's age

w---> Dad's age

we know that

x+y+z+w=70 -----> equation A

x=6y ----> y=x/6 -----> equation B

x=10z ----> z=x/10 -----> equation C

w=2+x -----> equation D

substitute equation B, C and D in equation A and solve for x

x+(x/6)+(x/10)+(2+x)=70

Multiply by 60 both sides

60x+10x+6x+120+60x=4,200

136x=4,200-120

x=4,080/136

x=30 years

Find the value of y

y=x/6 -----> y=30/6=5 years

Find the value of z

z=x/10 ----> z=30/10=3 years

Find the value of w

w=2+x ----> w=2+30=32 years

Write the result in ascending order and separated by spaces

3  5  30  32

so

Daughter  Son  Mon  Dad

Step-by-step explanation:

The cost increase is:

(4 - 3) / 3 × 100%

33%

The answer is none of these.

Answer:

Option E. None of these.

Step-by-step explanation:

A merchant paid $3 each for golfing hats and sold for $4 each. He earned a gross profit of $1 per hat.

We have to calculate the percent of increase in cost price Or percentage profit.

Percentage profit = [tex]\frac{\text{(Selling price - Cost price)}}{\text{cost price}}(100)[/tex]

= [tex]\frac{(4-3)}{3}.(100)[/tex]

= [tex]\frac{100}{3}=33.33[/tex]%

Which not in any option.

Therefore, Option E. None of these is the answer.

Final answer:

The problem is a linear system where we find the cost of sugar cookie dough (x) at $12 per package and chocolate chip cookie dough (y) at $16 per package by forming and solving two linear equations.

Explanation:

The problem presented is one of linear systems, where we are asked to find the cost of one package of sugar cookie dough (x) and one package of chocolate chip cookie dough (y). To solve for x and y, we need to create two equations based on the information given:

13x + 6y = $252 (Lisa's sales)

8x + 12y = $288 (Julia's sales)

By solving this system of equations, we can determine the cost of each type of cookie dough. Using either substitution or elimination method will lead us to the solution. For this example, I'll use the elimination method:

Multiply each side of the first equation by 2, and the second equation by -1, and then add them together to eliminate y:
26x + 12y = $504
-8x - 12y = -$288
18x = $216
x = $216 / 18
x = $12

Substitute x back into any one of the original equations to find y:

13($12) + 6y = $252
$156 + 6y = $252
6y = $252 - $156
6y = $96
y = $96 / 6
y = $16

So the cost per package is $12 for sugar cookie dough and $16 for chocolate chip cookie dough.

Answer:

[tex]c=\frac{99}{32}[/tex]

Step-by-step explanation:

The given quadratic equation is [tex]2x^2-5x+c=0[/tex].

Comparing this equation to:  [tex]ax^2+bx+c=0[/tex], we have a=2,b=-5.

Where: [tex]x_1+x_2=\frac{5}{2}[/tex] and [tex]x_1x_2=\frac{c}{2}[/tex]

The difference in roots is given by:

[tex]x_2-x_1=\sqrt{(x_1+x_2)^2-4x_1x_2}[/tex]

[tex]\implies 0.25=\sqrt{(2.5)^2-4(\frac{c}{2})}[/tex]

[tex]\implies 0.25^2=6.25-2c[/tex]

[tex]\implies 0.0625-6.25=-2c[/tex]

[tex]\implies -6.1875=-2c[/tex]

Divide both sides by -2

[tex]c=\frac{99}{32}[/tex]

Answer:

The value of c is 3.09375.

Step-by-step explanation:

Given : The difference between the roots of the equation [tex]2x^2-5x+c=0[/tex] is 0.25.

To find : The value of c?

Solution :

The general quadratic equation is [tex]ax^2+bx+c=0[/tex] with roots [tex]\alpha,\beta[/tex]

The sum of roots is [tex]\alpha+\beta=-\frac{b}{a}[/tex]

The product of roots is [tex]\alpha\beta=\frac{c}{a}[/tex]

On comparing with given equation, a=2, b=-5 and c=c

Substitute the values,

The sum of roots is [tex]\alpha+\beta=-\frac{-5}{2}[/tex]

[tex]\alpha+\beta=\frac{5}{2}[/tex] .....(1)

The product of roots is [tex]\alpha\beta=\frac{c}{2}[/tex] ....(2)

The difference between roots are [tex]\alpha-\beta=0.25[/tex] .....(3)

Using identity,

[tex]\alpha-\beta=\sqrt{(\alpha+\beta)^2-4\alpha\beta}[/tex]

Substitute the value in the identity,

[tex]0.25=\sqrt{(\frac{5}{2})^2-4(\frac{c}{2})}[/tex]

[tex]0.25=\sqrt{\frac{25}{4}-2c}[/tex]

[tex]0.25=\sqrt{\frac{25-8c}{4}}[/tex]

[tex]0.25\times 2=\sqrt{25-8c}[/tex]

[tex]0.5=\sqrt{25-8c}[/tex]

Squaring both side,

[tex]0.5^2=25-8c[/tex]

[tex]0.25=25-8c[/tex]

[tex]8c=25-0.25[/tex]

[tex]8c=24.75[/tex]

[tex]c=\frac{24.75}{8}[/tex]

[tex]c=3.09375[/tex]

Therefore, the value of c is 3.09375.

Answer:

6 feet from the edge of the wall

Answer: 16.31 L

22.108 L - 5.80 L = 16.308 L

The reason that the answer is only precise up to 2 decimals is because our least precise measurement goes as far as 2 decimals and you can only be as precise as your least precise measurement

B. y=2.25x+4.00 (eg. 2020)

Answer:

A bed room set is being sold for $5500 if bought cash. The set can be bought on  hire purchase by making a down payment of $1500 followed by 24 months  payments of $175 each. Calculate:

the total installments paid

 24 ($175) = $4200

the hire purchase price

 $1500 + $4200 = $5700

the amount saved by paying cash.

$5700 - $5500 = $200 saved by paying cash

Dion bought a new keyboard on hire-purchase. The cash price was $2400. He  paid a 25% deposit followed by 24 monthly payments of $120 each. Calculate

the amount of the deposit paid

 $2400 * .25 = $600

the total monthly payments made

 $120 * 24 = $2880

the hire purchase price

 $600 + $2880 = 3480

the difference between the cash price and the hire purchase price:  

$3480 - $2400 = $1920

Mr. Baker bought a gas stove on hire-purchase. The cash price was $850. H

is 15% deposit followed by 18 monthly payments of $42 each.

amount of deposit paid:  $ 850 * .15 = $127.50

total monthly payments:  $42 * 18 = $756

hire purchase price: $127.50 + $756 = 977.50

difference between cash price and hire purchase price:  

$883.50 - $850 = $33.50

***since the last one didn't have extra info to ask...I used the same information from the 2nd one***

Step-by-step explanation:

Answer:

The answer is 3 Cubic centimeters

Step-by-step explanation:

Answer:

1 cubic centimeter

Step-by-step explanation:

The equation for the volume of a cube is Length x width x height

1 x 1 x 1 = 1

Volume is always cubic.

Answer:

it would be

The dependent variable is distance, the equation is y = 35x, and the dragonfly will travel 840 miles

Step-by-step explanation:

By the graph it can be seen that the distance a dragonfly can travel is dependent on the certain number of hours.

∴ Dependent variable  : Distance (on y axis)

The equation of straight line is given by :-

, here m is the slope of the line and c is the initial value of y at x=0.

From the given graph, the slope of the given line passing from (0,0) and (2,70) will be :-

Also, the value of y = 0 at x=0.

∴ The equation of the given line :

At x=24,  

∴  The dragonfly will travel 840 miles in 24 hours.