Answer:

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

<em>(h, k)</em><em> - center</em>
<em>r</em><em> - radius</em>
<em />
We have diameter endpoints.
Half the length of the diameter is the length of the radius.
The center of the diameter is the center of the circle.
The formula of a distance between two points:

Substitute the coordinates of the given points (-8, 2) and (-2, 6):

The radius:

The formula of a midpoint:

Substitute:


Finally:

Answer:
Step-by-step explanation:
800(1+0.038)2
Answer:
y=3x- 3/2
Step-by-step explanation:
4.2x−1.4y=2.1
Subtract 4.2x from each side
4.2x-4.2x−1.4y=-4.2x+2.1
-1.4y = -4.2x +2.1
divide each side by -1.4
-1.4y/-1.4y = -4.2x/ -1.4 +2.1/-1.4y
y=3x- 3/2
Answer: √117
Step-by-step explanation:
Since no diagram present, am assuming hypotenuse AB and right angle C. Let side opp angle B be b, and side opposite angle A be a. Altitude CD is x.
a^2 + b^2 = 22^2 (Pythagorean)
Using Pythag on two smaller triangles,
x^2 + 13^2 = a^2
x^2 + 9^2 = b^2
Substituting in first equation,
x^2 + 13^2 + x^2 + 9^2 = 22^2
x^2 = 117, so x = √117