Write the equation of a circle whose center is at the origin and contains the point (7, 0).

1 answer:

5 0

Radius of the circle = sqrt((7 - 0)^2 + (0 - 0)^2) = sqrt(7^2) = 7

Equation of a circle is given by (x - a)^2 + (y - b)^2 = r^2; where (a, b) is the centre of the circle.

Required equation = (x - 0)^2 + (y - 0)^2 = 7^2
x^2 + y^2 = 49

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Y=2 Enter the solution (x, y) to the system of equations shown 7y+3x=5

AnnyKZ [126]

Answer:

(x, y) = (-3, 2)

Step-by-step explanation:

Put the given value of y into the equation and solve for x.

... 7·2 +3x = 5

... 3x = -9 . . . . . . subtract 14

... x = -3 . . . . . . . divide by the x-coefficient

The solution (x, y) is (-3, 2).

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3 years ago

The viewing room at a planetarium is in the shape of a hemisphere. The diameter of the hemisphere is 48 feet. What is the volume

Elis [28]

A hemisphere is half a sphere.
So, the volume of a hemisphere is the half of the volume of the complete sphere.
The formula for the volume of a sphere is:
V = (4/3) π (radius)^3
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You get:
V = (4/3) (3.14) (25 feet)^3 = 65,416.7 feet^3
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3 years ago

Read 2 more answers

Show two different ways to factor -4x - 28

horsena [70]

Step-by-step explanation:

-4x - 28

x = -28 + 4

x = -24

I HOPE THIS IS CORRECT IN ONLY THIS WAY SORRY IF IT IS WRONG

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