y = mx + c
7 = 4(-8) + c
c = 39
The equation is y = 4x + 39
y - 7 = 4 ( x - (-8))
y -7 = 4 (x +8)
Answer:

Step-by-step explanation:
The equation of a circle is given by:

Where (h, k) is the center and r is the radius.
The center of the circle is (1, -4).
And the radius is 3.
Substitute:

Simplify. Thus, our equation is:

Answer:
x = 3√7
Step-by-step explanation:
From the right triangle given in the picture,
Altitude or height of the triangle (AD) = x
Base or hypotenuse of the given triangle (BC) = 16
Length of segment BD = 16 - 7 = 9
By using geometric mean theorem in the given triangle,

(AD)² = (BD)(CD)
x² = 9×7
x = √63
x = 3√7
Answer:
r = 2.55
Step-by-step explanation:
The formula for finding the radius of a circle using the area is r = √A/π
with the r being the radius. the A being the area, and the π being pi (we'll use 3.14).
So the equation should look like this:
r = √(20.4/3.14)
Find the quotient of 20.4/3.14 and round to the nearest tenth
r = √6.5
Find the square root and round to the nearest hundredth
r = 2.55
Average rate of change over [1,5] = f(5) - f(1) / 5 - 1
= [(17-5^2) - (17-1) ] / 4
= (-8 - 16) / 4 = -24 / 4 = -6 Answer