Answer: p = 4, r = 4
<u>Step-by-step explanation:</u>
The equation of a circle is: (x - h)² + (y - k)² = r² where
- (h, k) is the center of the circle
- r is the radius of the circle
Complete the square:
x² - 10x + _____ + y² + py + _____ = -13 + ___ + ___
x² - 10x + <u> (-10/2)² </u> + y² + py + <u> (p/2)²</u> = -13 + <u> (-10/2)² </u> + <u> (p/2)²</u>
(x - 5)² + (y + p/2)² = -13 + 25 + (p/2)²
↓ ↓ |_____<u>↓</u>_____|
h = 5 k = -p/2 r²
Given: (h, k) = (5, -2)
-2 = -p/2
-4 = -p
4 = p
r² = -13 + 25 + (p/2)²
= -13 + 25 + (4/2)²
= -13 + 25 + 4
= 16
r = 4
It will be 55 because I use this for my class
3.7 units
7.4 divided by 2 ((radius is half of a diameter))
It would be 3.5! Hope this helps and good luck!
Answer:
3/20
Step-by-step explanation:
15 and 100 both have a common factor of <em>5</em>. To simply an expression, you have to get both the numerator (top number) and the denominator (bottom number) to be as low as possible (to make it so that both can't be divided anymore or don't have shared factors). We divide both sides by 5 (which still retains as an integer and has the same value) and so 15/3=5 and 100/5=20.
Have a nice day! :)
