4 years ago

What is the equation of a circle that has a diameter with endpoints (3, -2) and (-7, 8)?

1 answer:

7 0

The center is the midpoint of the given diameter,
((3, -2) +(-7, 8))/2 = (-2, 3)

The radius is the distance from that to either end,
√(5^2 +5^2) = 5√2

In standard form, the circle's equation is
(x +2)² +(y -3)² = 50

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A cylindrical tank has a radius of 15 feet and a height of 45 feet. How many cubic feet of water can the tank hold?

ch4aika [34]

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⚘<em>Refer to the attachment for detailed solution!!~</em>

According to my solution, Option D is the correct choice!

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Sindrei [870]

10 x 10 = $2_{10}$

since 1 square equals 4.85 sq inches we can multiply 4.85 with 100

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hope this helps!

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4 years ago

15 points!! Please help! please explain how you got you answers

Lynna [10]

We observe that a line will pass through 3 points, but to find a slope we only need two.

We see that it passes through points (assuming the scale of graph is 1 : 1) $P_1(x_1,y_1)=P_1(0,1)$ and $P_2(x_2,y_2)=P_2(2,-1)$ .

We can use slope formula that applies for any line and produce the same slope for any two different points on the line

$m=\dfrac{\Delta{y}}{\Delta{x}}=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{-1-1}{2-0}=-1$

So the slope is -1 also it intersects y-axis at $n=1$ so the general form of the linear function is

$f(x)=mx+n$

That is in your case

$\boxed{f(x)=-x+1}$

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