Which is the best estimate for the average rate of change for the quadratic function graph on the interval 0 ≤ x ≤ 4?
A) −1
B) −2
C) −3
D) −4

Answer:

Part 1) [tex]y=-(1/4)x[/tex]

Part 2) [tex]y=-(3/5)x+2[/tex]

Part 3) [tex]y=(1/5)x-2[/tex]

Step-by-step explanation:

we know that

The equation of the line into slope intercept form is equal to

[tex]y=mx+b[/tex]

where

m is the slope

b is the y-coordinate of the y-intercept

Part 1) we have

[tex]20x+80y=0[/tex]

Simplify

Divide by 20 both sides

[tex]x+4y=0[/tex]

isolate the variable y

Subtract x both sides

[tex]4y=-x[/tex]

Divide by 4 both sides

[tex]y=-(1/4)x[/tex] ------> equation of the line into slope intercept form

[tex]m=-(1/4)[/tex]

[tex]b=0[/tex]

Part 2) we have

[tex]30x+50y-100=0[/tex]

Simplify

Divide by 10 both sides

[tex]3x+5y-10=0[/tex]

isolate the variable y

Subtract (3x-10) both sides

[tex]5y=-(3x-10)[/tex]

Divide by 5 both sides

[tex]y=-(3/5)x+2[/tex] ------> equation of the line into slope intercept form

[tex]m=-(3/5)[/tex]

[tex]b=2[/tex]

Part 3) we have

[tex]3x-15y-30=0[/tex]

Simplify

Divide by 3 both sides

[tex]x-5y-10=0[/tex]

isolate the variable y

Subtract (x-10) both sides

[tex]-5y=-(x-10)[/tex]

Divide by -5 both sides

[tex]y=(1/5)x-2[/tex] ------> equation of the line into slope intercept form

[tex]m=(1/5)[/tex]

[tex]b=-2[/tex]

Answer:

Step-by-step explanation:

This time we'll do this using 1 formula to get the answer.

Givens

n = 9 (number of sides in an 9-gon.

inradius (apothem) = a= 7

Formula

Area = a^2 * n * tan(180/n)     Substitute

Solution

Area = 9^2 * 9 * tan(180/9)     Combine

Area = 81 * 9 * tan(20)

Area = 729 * tan (20)

Area = 265.33

Area rounded = 265

Answer:

the answer is 30

Step-by-step explanation:

9(5)=45

45-15=30

➷ Substitute 5 into everywhere you see 'n'

9(5) - 15

Simplify:

9 x 5 = 45

45 - 15 = 30

The answer is 30.

➶ Hope This Helps You!

➶ Good Luck (:

➶ Have A Great Day ^-^

↬ ʜᴀɴɴᴀʜ ♡

Answer:

Step-by-step explanation:

The formula of a distance between two points:

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

We have (-3, 1) and (-1, 5). Substitute:

[tex]d=\sqrt{(-1-(-3))^2+(5-1)^2}=\sqrt{2^2+4^2}=\sqrt{4+16}=\sqrt{20}\\\\=\sqrt{4\cdot5}=\sqrt4\cdot\sqrt5=2\sqrt5\approx2\cdot2.23=4.46[/tex]

Answer:

it 4.47

Step-by-step explanation:

I TOOK THE TEST

Answer:

ok so the answer is.

Step-by-step explanation:

thanks for listening bestie <3

Answer: 19.13 yd²

Step-by-step explanation:

1. By definition,  you have that 1 square meter is equal to 1.19599 square yards. You can express it as following:

1 m²= 1.19599 yd²

2. Then, keeping the information above on mind, you can make the conversion from 16 m² to yd² as it is shown below:

[tex](16m^2)(\frac{1.19599yd^2}{1m^2})=19.13yd^2[/tex]

Therefore, you have that 16 m² is equivalent to 19.13 yd².

You can convert square meters to square yards by multiplying by 1.196. Therefore, 16 square meters is equivalent to 19.14 square yards.

You're asking about the conversion between square meters and square yards, which is used in measuring areas in mathematics and geometry. To do this conversion, we can use the conversion factor given in the references - 1 m² = 1.196 square yards.

Therefore, to find out how many square yards are equivalent to 16 square meters, we multiply 16 m² by 1.196 (the number of square yards in one square meter). Doing this math gives us an equivalent area of 19.136 square yards.

So, your 16-square meter area is roughly equivalent to 19.14 square yards, when rounded to two decimal places.

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Answer:

20m and 40m

Step-by-step explanation:

The area (A) of a kite is calculated using the formula

A = [tex]\frac{1}{2}[/tex] product of diagonals

Let one diagonal be d then the other diagonal is 2d ( twice as long )

Hence

[tex]\frac{1}{2}[/tex] × 2d × d = 400

d² = 400 ← take the square root of both sides

d = [tex]\sqrt{400}[/tex] = 20

and 2d = 2 × 20 = 40

The diagonals are 20m and 40m in length

The lengths of the diagonals of a kite, where the area is 400 square meters and one diagonal is twice the length of the other, are 20 meters for the shorter diagonal and 40 meters for the longer diagonal.

You asked how the lengths of the diagonals of a kite can be determined given that the area is 400 square meters and one diagonal is twice as long as the other. To find the diagonals, we'll use the formula for the area of a kite, which is Area = (d1 * d2) / 2, where d1 and d2 are the lengths of the diagonals.

Let's denote the shorter diagonal as d, which means the longer diagonal is 2d. Plugging these into the area formula gives us:

400 m2 = (d * 2d) / 2

Multiplying both sides by 2 gives us 800 m2 = d * 2d, which simplifies to 800 m2 = 2d2.

Dividing both sides by 2 gives us 400 m2 = d2. Taking the square root of both sides, we find that d = 20 meters. Hence, the longer diagonal is 2 * 20 meters = 40 meters.

The lengths of the diagonals of the kite are 20 meters and 40 meters.

Answer:

C.) 60 feet

Step-by-step explanation:

Knowing that the formula for finding the circumference of a circle is [tex]\pi d[/tex] or [tex]2\pi r[/tex], we are able to set up the equation to be:

[tex]188.4=3.14d[/tex]

[tex]\frac{188.4}{3.14} =d[/tex]

[tex]60=d[/tex]

and done! :)

Answer:   330⁰

Step-by-step explanation:

Circumference (C) = 2π · radius(r)

                          12 = 2π·r

                     [tex]\dfrac{6}{\pi}=r[/tex]

Arc length (s) = radius(r) · θ           (reminder that theta is in radians)

                  [tex]11=\dfrac{6}{\pi}\cdot \theta[/tex]

                  [tex]\dfrac{11\pi}{6}=\theta[/tex]

To convert radians to degrees, use the proportion:   π = 180⁰  

[tex]\dfrac{\pi}{180}=\dfrac{11\pi}{6x}\\\\6x(\pi)=180(11\pi)\\\\x=\dfrac{180(11\pi)}{6\pi}\\\\x=30(11)\\\\x=330[/tex]

Answer:

22 degrees

Step-by-step explanation:

Since both triangles correspond, side x is correspondent to 22 degrees, Since that is also the only given piece of information, that is your answer.

The half-life of the substance is calculated using the decay constant and is found to be 5.0 days when rounded to the nearest tenth.

To find the half-life of a substance, we use the decay formula N = [tex]N0e^{-kt}[/tex], where N is the remaining mass at time t, N0 is the initial mass, k is the decay constant, and t is the time in days. For a substance to reach its half-life, the remaining mass (N) will be half of the initial mass (N0).

Let's substitute the known values to find the half-life:

Initial mass N0 = 22 g

The decay constant k = 0.138

Half of the initial mass would be 11 g, so N = 11 g

Using the formula for half-life:

0.693 / k = t1/2

Substitute k = 0.138 into the equation:

t1/2 = 0.693 / 0.138

Calculate the half-life:

t1/2 = 5.0 days

Thus, we round to the nearest tenth to get the half-life as 5.0 days.

Answer:

FIRST OPTION.

THIRD OPTION.

FOURTH OPTION.

FITH OPTION.

Step-by-step explanation:

The equation of the line in slope-intercept form is:

[tex]y=mx+b[/tex]

Where m is the slope, b the y-intercept and the exponent of x is always 1 or 0.

Solve for y from  the equations shown below:

[tex]5+2y=13\\2y=8\\y=4[/tex]

(In this linear function the slope is 0)

[tex]y-5=2(x-1)\\y=2x-2+5\\y=2x+3[/tex]

(It is a linear function)

[tex]\frac{y}{2}=x+7\\ y=2(x+7)\\y=2x+14[/tex]

 (It is a linear function)

Equation of the line whose slope is not defined:

[tex]x=-4[/tex]

Answer:

1, 3, 4, and 5

Step-by-step explanation:

Edge 2021!

Proof:

Answer:

16.25=1.75x

Step-by-step explanation:

so write it like this to that the bigger number(16.25) is on the left then write the other number(1.75)then put the X by the 1.75

Here is your answer

d. CD overbar congruent to EF overbar.

REASON:

Since, line segment CD is congruent to line segment EF and im geometry an overbar represents a line segment.

So, we can say that CD overbar means line segment CD and EF overbar means line segment EF.

Hence, the statement is justified.

HOPE IT IS USEFUL

Here is your answer

d. CD overbar congruent to EF overbar.

REASON:

Since line segment CD is congruent to line segment EF and in geometry an overbar represents a line segment.

So, we can say that CD overbar means line segment CD and EF overbar means line segment EF.

Hence, the statement is justified.

hope this helps :)

remember to love urself <3

ANSWER

[tex]{(y + 2)}^{2} = 8(x - 4)[/tex]

EXPLANATION

The given parabola has equation of the form

[tex] {(y - k)}^{2} = 4p(x - h)[/tex]

where (h,k) is the vertex of the parabola.

The vertex of the given parabola is (4,-2).

and p is the distance between the foci and the vertex.

[tex] |p| = 2[/tex]

The parabola opens towards the positive x-axis, therefore p=2.

Hence the equation of the parabola is

[tex] {(y + 2)}^{2} = 4 \times 2(x - 4)[/tex]

[tex]{(y + 2)}^{2} = 8(x - 4)[/tex]

Answer:

Your answer is going to be E for plato users or (y^2/8) + (y/2) + (9/2)

Step-by-step explanation:

Since it is a horizontal Parabola the equation is: (y-k)^2 = 4p(x-h)

The distance between the directrix: p

therefore P=2

h = X value in the vertex

k = Y value in the vertex

h = 4

k = -2

Plug the values into the equation and solve for x

Answer:

[tex]\large\boxed{A=(120+32\pi)cm^2}[/tex]

Step-by-step explanation:

Look at the picture.

We have the half of circle and a triangle.

The fromula of an area of a circle:

[tex]A_O=\pi r^2[/tex]

r - radius

We have r = 8cm. Substitute:

[tex]A_O=\pi(8)^2=64\pi\ cm^2[/tex]

The formula of an area of a triangle:

[tex]A_\triangle=\dfrac{bh}{2}[/tex]

b- base

h - height

We have b = 8cm + 8cm = 16cm and h = 15cm. Substitute:

[tex]A_\triangle=\dfrac{(16)(15)}{2}=(8)(15)=120\ cm^2[/tex]

The area of the figure:

[tex]A=\dfrac{1}{2}A_O+A_\triangle[/tex]

Substitute:

[tex]A=\dfrac{1}{2}(64\pi)+120=32\pi+120=(120+32\pi)cm^2[/tex]

Answer:

A

Step-by-step explanation:

The center is at (-4.5,0) because -9/2 = -4.5

9 is the diameter in the above equation

Answer:

"circle; diameter of 9; center at (-4.5,0)"

Step-by-step explanation:

The polar equation of a circle centered on an axis, would take the forms:

1. Positive x-axis

r = (diameter) Cos θ

2. Positive y-axis

r = (diameter) Sin θ

3. Negative x-axis

r = - (diameter) Cos θ

4. Negative y-axis

r = - (diameter) Sin θ

As we see from the equation given, the diameter is 9 and it is centered n negative x-axis. And the center is Diameter divided by 2. So negative x axis has the center at (-9/2, 0) = (-4.5, 0)

The first choice is correct.

Answer:  x = {1, -1, 2i, -2i}

Step-by-step explanation:

x⁴ + 3x² - 4 = 0

               ∧

             -1 +4 = 3   this works!

(x² - 1)(x² + 4) = 0

x² - 1 = 0     and      x² + 4 = 0

x² = 1          and      x² = -4

x = ±1         and       x = ± 2i

x = 1, -1      and       x = 2i, -2i

Answer:

The answer is the first

Amie should have multiplied 54 by 2/3

Step-by-step explanation:

* Lets start with the rule of the volume of each solid

∵ Volume the sphere = 4/3 π r³

∵ Volume the cylinder = π r² h

∵ The radii and the heights of the sphere and the cylinder are equal

∴ The ratio between there volumes are

   4/3 π r³ : π r² h

- Lets divide each part by π r²

∴ 4/3 r : h

∵ The height of the sphere = the diameter of it = 2r

∴ The height of the cylinder = 2r

∴ The ratio will be:

   4/3 r : 2r

- Now divide each part by 2r

∵ (4/3)r ÷ 2r = 2/3

∵ 2r ÷ 2r = 1

∴ The ratio is 2/3 : 1

∴ The volume of the sphere = 2/3 the volume of the cylinder

∵ The volume of the cylinder = 54 m³

∴ The volume of the sphere = 2/3 × 54 = 36 m³

∴ The answer is Amie should have multiplied 54 by 2/3

Answer:

The answer is Amie should have multiplied 54 by 2/3

Step-by-step explanation:

Answer:

Part a) The drawn in the attached figure

Part b)The slant height of the outside edge is [tex]x=10\ in[/tex]

Step-by-step explanation:

Part a) The drawn in the attached figure

Part b) What is the slant height of the outside edge?

we have that

The diameter of the base of the cone is 12 in

so

[tex]r=12/2=6\ in[/tex] ----> the radius is half the diameter

[tex]h=8\ in[/tex]

Applying the Pythagoras Theorem find the slant height x

[tex]x^{2}=r^{2}+h^{2}[/tex]

substitute the values

[tex]x^{2}=6^{2}+8^{2}[/tex]

[tex]x^{2}=100[/tex]

[tex]x=10\ in[/tex]

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Answer:

[tex]x= 0\\x =4[/tex]

Step-by-step explanation:

We have the expression:

[tex]x ^ 2-4x = 0[/tex]

To solve this equation we must factor:

1.- Take common factor x.

[tex]x(x-4) = 0[/tex]

2.- Evaluate the expressions to know when they are equal to 0.

[tex]x = 0[/tex] or [tex]x-4 = 0[/tex]

[tex]x = 0[/tex] or [tex]x = 4[/tex]

3.- The solutions are:

[tex]x = 0\\x = 4[/tex]

Answer:

8.79

Step-by-step explanation:

Rounding the nearest hundredth would be using the thousandths place to determine if the hundredths place must be rounded up or down. Because there is no visible thousandths place in 8.79, then it stays as 8.79. Because technically, there is an infinite number of zero's after the 9- and because 0 is less than 5, we leave the number as it is.

Answer:

A. Parallel

Step-by-step explanation:

The given lines are

[tex]y=6x[/tex]

and

[tex]y=6x+2[/tex]

The slope of [tex]y=6x[/tex] is [tex]m_1=6[/tex].

The slope of [tex]y=6x+2[/tex] is [tex]m_2=6[/tex].

Since the two lines have the same slope, the two lines are parallel.

Answer:

The correct answer option is A. parallel.

Step-by-step explanation:

We are given the following two lines and we are to determine if they are parallel, perpendicular or none of them:

[tex]y = 6x[/tex] and [tex]y = 6x + 2[/tex]

According to the standard equation of a line, [tex]y=mx+c[/tex], the coefficient of x ([tex]m[/tex]) is the slope of the line.

Slope of [tex]y = 6x[/tex]  = 6

Slope of [tex]y = 6x + 2[/tex]  = 6

Since both the lines have same slope, therefore the two line are parallel.

Answer:

It has 2.

Step-by-step explanation:

Since the numbers aren't zeroes they are automatically significant figures.

Answer:

2

Step-by-step explanation:

There are 2 digits needed to nail down the precise value of 12: a 1 in the tens place and a 2 in the ones place, giving it 2 significant figures.

For a few more examples, the number 1.23 would have 3 significant figures, the number 56.89 would have 4, and the number 1.00000 would have 1, as the trailing zeroes don't contribute anything to the number's actual value.

Answer:

(-8, -4) is the solution

Step-by-step explanation:

Determine whether or not (-8, -4) is a solution to this system.  It is a solution if we can substitute -8 for x and -4 for y in both equations and find that both equations are true:

2(-8) = 5(-4) + 4 TRUE

3(-8) - 2(-4) = -16 TRUE

So (-8, -4) is a solution to the given system.

Check out the second possible solution in the same way:

2(8) = 5(4) + 4 FALSE

Check out the third possible sol'n in the same way:

2(-4) = 5(4) + 4  FALSE

Check out the fourth in the same way:

2(4) = 5(8) + 4   FALSE

So we conclude that (-8, -4) is the sole solution to the given system.

Answer:

(-8, -4)

Step-by-step explanation:

The correct answers are 2,3, and 4.

(if not 4, then the last one)

Answer:

C.Vertical angles prove that angle 3= angle 6

D.The triangles are similar because alternate interior angles are congruent.

Step-by-step explanation:

When line d is parallel to line c.

We have to find the true statements about the figure.

Then, [tex]\angle 3=\angle 6[/tex](Vertical angles are equal)

[tex]\angle 1=\angle 4[/tex]

[tex]\angle 2=\angle 5[/tex]

Reason: Alternate interior angles

Two triangles are similar by AA postulate

Reason:Alternate interior angle are congruent.

Option C and D are true.

C.Vertical angles prove that angle 3= angle 6

D.The triangles are similar because alternate interior angles are congruent.

85+92+84+71+94+x /6>86

Multiply both sides by 6

426+x>516

Subtract 426 from both sides

X>90

Answer:

175 I believe.

Step-by-step explanation:

The distance between the sandbag and the target is 325 meters.

The distance between the sandbag and the target can be calculated by subtracting the distance of the sandbag from the balloon's height from the total distance between the balloon and the target. In this case, the balloon is 250 meters above the target and the sandbag is 75 meters below the balloon. So, the distance between the sandbag and the target is 250 + 75 = 325 meters.

Answer:

AB is A

BC is B

AC is D

Step-by-step explanation:

To find the length of each side, use the formula for the distance between coordinate pairs.

We can find the distance using the distance formula:

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

AB

We then substitute (-3,6) as [tex](x_1,y_1)[/tex] and (2,1) as [tex](x_2,y_2)[/tex].

[tex]d=\sqrt{(2--3)^2+(1-6)^2} \\d=\sqrt{(2+3)^2+(-5)^2} \\d=\sqrt{25+25}\\d=\sqrt{50}[/tex]

BC

We then substitute (2,1) as [tex](x_1,y_1)[/tex] and (9,5) as [tex](x_2,y_2)[/tex].

[tex]d=\sqrt{(9-2)^2+(5-1)^2} \\d=\sqrt{(-7)^2+(4)^2} \\d=\sqrt{49+16}\\d=\sqrt{65}[/tex]

AC

We then substitute (-3,6) as [tex](x_1,y_1)[/tex] and (9,5) as [tex](x_2,y_2)[/tex].

[tex]d=\sqrt{(9--3)^2+(5-6)^2} \\d=\sqrt{(12)^2+(-1)^2} \\d=\sqrt{144+1}\\d=\sqrt{145}[/tex]