What is the radius of a circle with circumference 56 in?

What is the axis of symmetry of the graph of f(x)=−2x²+8x−2?

FromTheMoon [43]

For the given parabola, the axis of symmetry is x = 2.

<h3>How to get the axis of symmetry?</h3>

For any given parabola, we define the axis of symmetry as a line that divides the parabola in two equal halves.

For a regular parabola, we define the axis of symmetry as:

x = h

Where h is the x-component of the vertex.

Remember that for the general parabola:

y = a*x^2 + b*x + c

The x-value of the vertex is:

h = -b/(2a)

Then for the function:

f(x)=−2x²+8x−2

We get:

h = -8/(2*-2) = 2

Then the axis of symmetry is x = 2.

If you want to learn more about parabolas, you can read:

brainly.com/question/1480401

7 0

2 years ago

What is the slope of the line that contains the points in the table?

bonufazy [111]

Answer:

D.2

Step-by-step explanation:

Slope is given by the ratio of change in y to change in x.

Taking two points on the table;

(-5, 15) and (1, 3)

Slope = (3-15)/ (1- (-5))

= 12/6

= 2 

5 0

3 years ago

Read 2 more answers

Mr. Trask wants to fill his four hummingbird feeders with liquid food. Two feeders hold 6 fluid ounces each. One larger feeder h

zysi [14]

Answer:

Step-by-step explanation:

8 fluid ounces in one cup

16 fluid ounces in a pint

2 feeders of 6 fluid ounces each

8 plus 16 plus 12

36, D

8 0

3 years ago

Plz hurry and answer this correctly!!!

In-s [12.5K]

Answer:

$\large\boxed{C)\ \dfrac{8}{5}\pi\ cm}$

Step-by-step explanation:

The formula of an area of a circle:

$A_O=\pi r^2$

The formula of a perimeter of a circle:

$P_O=2\pi r$

r - radius

We have the area of a circle

$A_O=\dfrac{16}{25}\pi\ cm^2$

Substitute:

$\pi r^2=\dfrac{16}{25}\pi$ divdie both sides by π

$r^2=\dfrac{16}{25}\to r=\sqrt{\dfrac{16}{25}}\\\\r=\dfrac{\sqrt{16}}{\sqrt{25}}\\\\r=\dfrac{4}{5}\ cm$

Calculate the perimeter:

$P_O=2\pi\left(\dfrac{4}{5}\right)=\dfrac{8}{5}\pi$

7 0

4 years ago

Please Help

shusha [124]

Answer:

The slope of Function 2 (m=1.1) is greater than the slope of Function 1 (m=1).

Step-by-step explanation:

First, note that p is essentially the y and that r is the x. Thus, to make this easier to see, convert p to y and r to x. Thus:

$y=x+7$

From the above equation, we can determine that the slope is 1. Thus, the slope of Function 1 is 1.

To find the slope of the table, simply use the slope formula. Use any two points. I'm going to use the points (0,8) and (10,19). Let (0,8) be x₁ and y₁, and (10,19) be x₂ and y₂. Therefore:

$m=\frac{y_2-y_1}{x_2-x_1}=\frac{19-8}{10-0}=11/10=1.1$

Thus, the slope of Function 2 is 1.1.

1.1 is greater than 1.

Thus, the slope of Function 2 is greater than the slope of Function 1.

3 0

4 years ago