Answer:
C
Step-by-step explanation:
f(x-2) = (x - 2)² + 6(x - 2) + 3
= x² - 4x + 4 + 6x - 12 + 3
= x² + 2x - 5
= x² + 2(x)(1) + 1² - 1² - 5
= (x + 1)² - 6
Vertex: (-1,-6)
1. You have that the Standard form for the equation of a circle when its center is at the origin, is:
x²+y²=r²
2. You must calculate the radius. Then:
r=√(x²+y²)
x=24
y=32
3. When you substitute the values of "x" and "y" into the equation r=√(x²+y²), you obtain:
r=√(x²+y²)
r=√(24²+32²)
r=√(576+1024)
r=√1600
r=40 feet
4. Therefore, the diameter (D) of the circle, is:
D=2r
D=2(40 feet)
D=80 feet
Hi there!
Here are all the steps into solving this equation into the y-intercept form:
y <u>- 6</u> = 1/2(x - 2)
Add 6 on each side of the equation
y = <u>1/2(x - 2)</u> + 6
Multiply the whole parentheses by 1/2
<u>1/2 × x</u> = 1/2X
<u>1/2 × -2</u> = -1
y = 1/2x <u>- 1 + 6</u>
Add the similar terms together
y = 1/2x + 5 → ANSWER
There you go! I really hope this helped, if there's anything just let me know! :)
<span>62.19 • 32.5=2,207.745</span>
