The answer is A.
Ordered pairs that equate to a function would not have two separate points with the same x-value. In other words, every x-value must be associated with only one y-value.
The standard form for the equation of a circle is :
<span><span><span> (x−h)^</span>2</span>+<span><span>(y−k)^</span>2</span>=<span>r2</span></span><span> ----------- EQ(1)
</span><span> where </span><span>handk</span><span> are the </span><span>x and y</span><span> coordinates of the center of the circle and </span>r<span> is the radius.
</span> The center of the circle is the midpoint of the diameter.
So the midpoint of the diameter with endpoints at (−10,1)and(−8,5) is :
((−10+(−8))/2,(1+5)/2)=(−9,3)
So the point (−9,3) is the center of the circle.
Now, use the distance formula to find the radius of the circle:
r^2=(−10−(−9))^2+(1−3)^2=1+4=5
⇒r=√5
Subtituting h=−9, k=3 and r=√5 into EQ(1) gives :
(x+9)^2+(y−3)^2=5
Answer:
Correct answer is f(x) = (625^x)^1/4
Step-by-step explanation:
We know that
625 = 5^4
This means
f(x) = (625^x)^1/4
f(x) = (5^(4x))^1/4
But we know this is equivalent to
f(x) = (5^(4x*(1/4))) =
= 5^(x)
Correct answer is f(x) = (625^x)^1/4
Answer:
2,520.00
Step-by-step explanation:
Answer:
h = -7
Step-by-step explanation:
- 8 ÷ 2 = 4
- Plug 4 in: -3 = h + 4
- Subtract 4 from each side, so it now looks like this: -7 = h
I hope this helps!