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3 years ago

The endpoints of a diameter of a circle are A(1,2) and (7.10). Find the area of the circle in terms of pi

Mathematics

1 answer:

OLEGan [10]3 years ago

7 0

Answer:

25pi

Step-by-step explanation:

To solve this, create a right triangle between the two points. We know the distance of one leg is 6, and the distance of the other leg is 8. Use the Pythagorean theorem to solve for the diameter. You substitute 6 and 8 into the values of A and B. Once you get this, you get (6^2)+(8^2)=c^2. Once you further simplify this, you get 36 + 64 = c^2, which is 100 = c^2. Take the square roots of both sides to get the diameter as 10. Divide the diameter by 2 to get the radius. Square the radius and multiply it by pi to get the area. Doing this will get the result of 25 pi.

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Select the correct answer.

Alina [70]

Answer:

Incisive

Step-by-step explanation:

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3 years ago

Read 2 more answers

How to do RX - sx + y equals B plzz explain how to get the answer there all variables!!!!

zalisa [80]

Rx - sx + y = b

WHEN SOLVING FOR X :

rx - sx + y = b

We must get x onto it's own side, so subtract y from both side.s

rx - sx = b - y

Then, factor out x.

x(r - s) = b - y

Then, divide both sides by (r - s).

x(r - s) ÷ (r - s) = b - y ÷ (r - s)

Simplify.

x = b - y / r - s → $x = \frac{b-y}{r-s}$

WHEN SOLVING FOR Y :

rx - sx + y = b

We need to isolate y, so get rid of everything BUT y on the left side.

Subtract rx from both sides.

-sx + y = b - rx

Then, add sx to both sides.

y = b - rx + sx

~Hope I helped!~

5 0

3 years ago

you drop a ball from a height of 98 feet. at the same time, your friend throws a ball upward. the polynomials represent the heig

Ostrovityanka [42]

a) $h_0 -u_y t$

b) See interpretation below

Step-by-step explanation:

The motion of both balls is a free-fall motion: it means that the ball is acted upon the force of gravity only.

Therefore, this means that the motion of the ball is a uniformly accelerated motion, with constant acceleration equal to the acceleration of gravity:

$g=32 ft/s^2$

in the downward direction.

For the ball dropped from the initial height of $h_0 = 98 ft$ , the height at time t is given by

$h(t) = h_0 -\frac{1}{2}gt^2$ (1)

The ball which is thrown upward from the ground instead is fired with an initial vertical velocity $u_y$ , and its starting height is zero, so its position at time t is given by

$h'(t)=u_y t - \frac{1}{2}gt^2$ (2)

Therefore, the polynomial that represents the distance between the two balls is:

$h(t)-h'(t)=h_0 - \frac{1}{2}gt^2 - (u_y t - \frac{1}{2}gt^2) = h_0 -u_y t$

Now we interpret this polynomial, which is:

$\Delta h(t) = h_0 -u_y t$

which represents the distance between the two balls at time t.

The interpretation of the two terms is the following:

- The constant term, $h_0$ , is the initial distance between the two balls, at time t=0 (in fact, the first ball is still at the top of the building, while the second ball is on the ground). For this problem, $h_0 = 98 ft$

- The coefficient of the linear term, $u_y$ , is the initial velocity of the second ball; this terms tells us that the distance between the two balls decreases every second by $u_y$ feet.

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3 years ago

The orgin of the coordinate plane is the point at (0,0). Why is the orgin an important point?

stiks02 [169]

<u>Importance of origin:</u>

The point at which the two axes intersect is called the origin. The intersecting x- and y-axes divide the coordinate plane into four sections.

The origin is at 0 on the x-axis and 0 on the y-axis. Since the origin has an x-coordinate of 0 and a y-coordinate of 0, its ordered pair is written (0, 0).

The origin is used to determine the coordinates for every other point on the graph. It is generally the starting point on a grid.

In general, origin is the place where something comes from or the place where something originates.

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3 years ago

What is the solution to the system of equations?

sesenic [268]

Answer:

D) (-5, 0)

Step-by-step explanation:

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3 years ago