Answer:
y2=8x−5y1=8x−25
Step-by-step explanation:
The expression of the ratio is 150:3
Answer:
<span><span><span>f<span>−1</span></span><span>(x)</span></span>=<span><span>x−3</span>2</span></span>
Explanation:
Follow the steps:
<span><span>f<span>(x)</span></span>=2x+3</span>
1- replace <span><span>f<span>(x)</span></span> with y →y=2x+3</span>
2- simply switch <span>x and</span> so the equation looks like <span>x=2y+3</span>
3- use algebra to solve<span> for y</span>. (isolate y)
<span>x=2y+3</span>
<span>x−3=2y</span>
<span><span><span>x−3</span>2</span>=y</span>
This is the inverse function and is written as
<span><span><span>f<span>−1</span></span><span>(x)</span></span>=<span><span><span>x−3</span>2</span></span></span>
Answer:
( x + 5 )^2 + ( y - 3 )^2 = 2^2
Step-by-step explanation:
The equation for a circle is ( x - h )^2 + ( y - k )^2 = r^2.
We know that h=-5 and k=3, so we just need to solve for r.
To do that, we need to envision the circle on a graph. If the edge of the circle touches the horizontal line y=1, how many units is it between the edge of the circle and the middle of the circle?
The middle of the circle is at y=3, and the edge is at y=1, so there are 2 units between the edge and the middle. Which means r=2.
so, ( x + 5 )^2 + ( y - 3 )^2 = 2^2.