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Hitman42 [59]
3 years ago
15

Which of the following is the equation of a circle with a radius of 10 cm and center at (–3, 6)?

Mathematics
1 answer:
vlabodo [156]3 years ago
5 0

The equation of a circle is (x - h)² + (y - k)² = radius² where (h, k) is the ordered pair for the center.

(x - (- 3))² + (y - 6)² = 10²

(x + 3)² + (y - 6) = 100

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blsea [12.9K]

5000

Step-by-step explanation:

because u have to add

5 0
3 years ago
Any help would be appreciated. Thank you!
trapecia [35]

Answer:

Area =62.5\sqrt{6} square units

AB=5\sqrt{15} units

BC=5\sqrt{10} units

Step-by-step explanation:

In a right triangle the altitude drawn to the hypotenuse is the geometric mean of the segments at which this altitude divides the hypotenuse.

So,

BD^2=15\cdot 10\\ \\BD^2=150\\ \\BD=\sqrt{150}=5\sqrt{6}\ units

a. The area of the triangle ABC is

A_{ABC}=\dfrac{1}{2}\cdot BD\cdot AC=\dfrac{1}{2}\cdot 5\sqrt{6}\cdot (15+10)=\dfrac{125\sqrt{6}}{2}=62.5\sqrt{6}\ un^2.

b. The legs of the right triangle are geometric means of the segment adjacent to this leg and the hypotenuse, so

AB^2=AD\cdot AC=15\cdot 25\Rightarrow AB=5\sqrt{15}\ units\\ \\BC^2=CD\cdot AC=10\cdot 25\Rightarrow BC=5\sqrt{10}\ units

5 0
3 years ago
What is the solution of the system of equations <br> y =2x - 3
kherson [118]

Answer:

-37/5= y

x=11/5

Step-by-step explanation:

4x-3y=31

-3y=-4x+31 regroup it to match the other

-2 y=(2x-3)(-2) multiply by -2 to get -4x

-3y=-4x+31

-2y=-4x+6 adding

-5y=37 divide

-37/5= y

4x-3(-37/5)=31

x=11/5

7 0
3 years ago
What is the approximate volume of a cylinder with a diameter of 12 meters and a height of 7 meters? Use 3.14 for pi.
storchak [24]
The mathematical equation for volume of a cylinder is pi times radius Squared Times height

The radius squared is 36

So 3.14 x 36 =113.04
Then you multiply 113.04 x 7 = 719.28.
Round that number and you get to 791.3.

So the answer is c
8 0
3 years ago
Determine and state the coordinates of the center and the length of the radius of the
zmey [24]

we can see that the center is (-3, 3) and the radius is 9 units.

<h3 /><h3>How to find the center and radius of the circle?</h3>

The general circle equation, for a circle with a center (a, b) and radius R is given by:

(x - a)^2 + (y - b)^2 = R^2

Here we have the equation:

x^2 + y^2 + 6x = 6y + 63

Let's complete squares:

x^2 + y^2 + 6x - 6y =  63

(x^2 + 6x) + (y^2 - 6y) = 63

(x^2 + 2*3x) + (y^2 - 2*3y) = 63

Now we can add and subtract 9, (two times) so we get:

(x^2 + 2*3x + 9) - 9 + (x^2 - 2*3x + 9) - 9 = 63

(x + 3)^2 + (y - 3)^2 = 63 + 9 + 9 = 81 = 9^2

(x + 3)^2 + (y - 3)^2 = 9^2

Comparing with the general circle equation, we can see that the center is (-3, 3) and the radius is 9 units.

If you want to learn more about circles:

brainly.com/question/1559324

#SPJ1

7 0
2 years ago
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