Find the surface area of the figure . Round to the nearest hundredth if necessary . .. 7 At 4 ft B = 84.3 ft SA= ft?

Mathematics

1 answer:

Zina [86]3 years ago

5 0

The answer it 8x99**29 of the equipment

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the endpoints of the diameter of a circle are (−6, 6) and (6, −2), what is the standard form equation of the circle?

miss Akunina [59]

The equation of a circle in standard form is

$(x - h)^2 + (y - k)^2 = r^2$

where (h, k) is the center of the circle, and r is the radius if the circle.

We need to find the radius and center of the circle.
We are given a diameter, so to find the center, we need the midpoint of the diameter.

M = ((-6 + 6)/2, (6 + (-2))/2) = (0, 2)
The center is (0, 2).

To find the radius, we find the length of the given diameter and divided by 2.

$d = \sqrt{(-6 - 6)^2 + (6 - (-2))^2)}$

$d = \sqrt{144 + 64}$

$d = \sqrt{208}$

$r = \dfrac{d}{2} = \dfrac{\sqrt{208}}{2} = \dfrac{\sqrt{208}}{\sqrt{4}} = \sqrt{52}$

$(x - 0)^2 + (y - 2)^2 = (\sqrt{52})^2$

$x^2 + (y - 2)^2 = 52$

7 0

3 years ago

Use the following graph of the function f(x) = x3 − 3x2 − x + 3 to answer this question: graph of x cubed minus 3 x squared minu

Marina CMI [18]

The average rate of change is also known as the slope. If we are looking to find the average rate of change between x = -1 and x = 2, in order to find the slope between those 2 x values, we need the y's that go along with them. Fill in -1 for x in the function and solve for y: $(-1)^3-3(-1)^2-(-1)+3=0$ . That means that the coordinate is (-1, 0). Fill in 2 for x in the function and solve for y: $(2)^3-3(2)^2-(2)+3=-3$ . The coordinate there is (2, -3). Now we can set up the slope formula to find the average rate of change between those 2 points: $\frac{-3-0}{2-(-1)}=\frac{-3}{3}=-1$ . Therefore, the average rate of change between x = -1 and x = 2 is -1