Mathematics: Samantha ate 3/5 of the pumpkin pie sean ate 2/10 of the pie how much did they leave for richard

Samantha ate 3/5 of the pumpkin pie sean ate 2/10 - id352104235321, SpookyAlex2132

haza1873

27.02.2022

Radius of the circle is, 17 units

The point can be either (-15, -16) or (-15, -14)

Step-by-step explanation:

The general equation of circle is given by:

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

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

As per the statement:

A circle is centered at the point (-7, -1) and passes through the point (8, 7).

⇒Center = (-7, -1)

then;

(x+7)^2+(y+1)^2 = r^2

Since, the circle passes through the point (8, 7) then we have;

(8+7)^2+(7+1)^2 = r^2

Solve for r:

15^2+8^2 = r^2

⇒ 225+64 = r^2

⇒ 279 = r^2

$r = \sqrt{279} = 17$ units

⇒the radius of the circle is, 17 units

It is given that:

The point (-15, y) lies on this circle.

(x+7)^2+(y+1)^2 =289

Substitute the value x = -15 and solve for y

(-15+7)^2+(y+1)^2 =289

⇒ (-8)^2+(y+1)^2 = 289

⇒ 64+(y+1)^2= 289

Subtract 64 from both sides we have;

(y+1)^2 = 225

⇒ $y+1 = \pm 15$

⇒y = -16 or y = -14

Therefore, the point can be either (-15, -16) or (-15, -14)

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