<h3>
Answer:</h3>
B. (0, 9)
<h3>
Step-by-step explanation:</h3>
Reflection across x=a is represented by the transformation ...
... (x, y) ⇒(2a-x, y)
Reflection across y=b is represented by the transformation ...
... (x, y) ⇒ (x, 2b-y)
The double reflection, across x=2, y=1 will result in the transformation ...
... (x, y) ⇒ (2·2-x, y) ⇒ (4-x, 2·1-y) ⇒ (4-x, 2-y)
For (x, y) = X(4, -7), the transformed point is ...
... X''(4-4, 2-(-7)) = X''(0, 9)
Answer:
X would equal -2. I hope this helps!
Dear Sweet21574, the answer is D. Squre pyramid.
Let's divide the shaded region into two areas:
area 1: x = 0 ---> x = 2
ares 2: x = 2 ---> x = 4
In area 1, we need to find the area under g(x) = x and in area 2, we need to find the area between g(x) = x and f(x) = (x - 2)^2. Now let's set up the integrals needed to find the areas.
Area 1:
![A\frac{}{1} = ∫g(x)dx = ∫xdx = \frac{1}{2} {x}^{2} | \frac{2}{0} = 2](https://tex.z-dn.net/?f=A%5Cfrac%7B%7D%7B1%7D%20%20%3D%20%E2%88%ABg%28x%29dx%20%3D%20%20%E2%88%ABxdx%20%3D%20%20%5Cfrac%7B1%7D%7B2%7D%20%20%7Bx%7D%5E%7B2%7D%20%20%7C%20%5Cfrac%7B2%7D%7B0%7D%20%20%3D%202)
Area 2:
![A\frac{}{2} = ∫(g(x) - f(x))dx](https://tex.z-dn.net/?f=A%5Cfrac%7B%7D%7B2%7D%20%20%3D%20%E2%88%AB%28g%28x%29%20-%20f%28x%29%29dx)
![= ∫(x - {(x - 2)}^{2} )dx](https://tex.z-dn.net/?f=%3D%20%E2%88%AB%28x%20-%20%20%7B%28x%20-%202%29%7D%5E%7B2%7D%20%29dx)
![= ∫( - {x}^{2} + 5x - 4)dx](https://tex.z-dn.net/?f=%20%3D%20%20%E2%88%AB%28%20-%20%7Bx%7D%5E%7B2%7D%20%20%2B%205x%20-%204%29dx)
![= ( - \frac{1}{3}{x}^{3} + \frac{5}{2} {x}^{2} - 4x) | \frac{4}{2}](https://tex.z-dn.net/?f=%3D%20%28%20-%20%5Cfrac%7B1%7D%7B3%7D%7Bx%7D%5E%7B3%7D%20%2B%20%20%20%5Cfrac%7B5%7D%7B2%7D%20%7Bx%7D%5E%7B2%7D%20%20-%204x%29%20%20%20%7C%20%5Cfrac%7B4%7D%7B2%7D)
![= 2.67 - ( - 0.67) = 3.34](https://tex.z-dn.net/?f=%20%3D%202.67%20-%20%28%20-%200.67%29%20%3D%203.34)
Therefore, the area of the shaded portion of the graph is
A = A1 + A2 = 5.34
Answer:
It's the Best answer B
Step-by-step explanation:
Because yes is línea test
You no understand put the B answer friend