Answer:
Step-by-step explanation:
We know the function
We want to find
Remember that if we have a function and its inverse , then the domain of the function will be the range of the function .
This means that to find we must look for:
We solve the equation for x.
So:
Answer:
Step-by-step explanation:
<u>Given equation:</u>
<u>Solve:</u>
<u>Here are the options verified:</u>
- A. Incorrect. The rectangular prism must be a little bit wider. 6 * 12 * 4 ≠ 324.
- B. Correct. 6 * 12 * 4 = 288.
- C. Incorrect. The prism must be a bit shorter. 6 * 12 * 4 ≠ 120.
- D. Incorrect. Prism must be a tiny bit shorter. 6 * 12 * 4 ≠ 216.
Correct choice is B. 288 cm³.
Answer:
P and Q are two points on the line x-y+1=0 and are at a distant of 5 units from the origin. Find the area of triangle POQ.
Step-by-step explanation:
P and Q are the intersection points of
x-y+1 = 0 and the circle x^2 + y^2 = 25
sub y = x+1 into the circle
x^2 + (x+1)^2 = 25
x^2 + x^2 + 2x + 1 - 25 = 0
x^2 + x - 12 = 0
(x+4)(x-3) = 0
x = 3 or x = -4
y = 4 or y = -3
so P(3,4) and Q(-4,3) are our two points
Height of triangle.
h = |0 - 0 + 1|/√2 = 1/√2
PQ = √( (-7)^2 + 1^2) = √50 = 5√2
area POQ = (1/2)(1/√2)(5√2) = 5/2 square units
hope this helped
Answer:
-14.7, -71/5, -14.04
Step-by-step explanation:
When it is a decimal, the lower the number, the more it actually is.
$816,326.50 (rounded) the original is (<span>816326.530612) but I'm not sure if it should be rounded or not. Very sorry if I'm wrong!</span>