Answer: Below is the first one
Step-by-step explanation: Second one is right here x=1/5+y/5
Answer:
- 3. line y=x
- 4. 10 units to the right and 4 units up
Step-by-step explanation:
In the attached diagram, the green polygon A"B"C" is the reflection of ABC across the line y=x. Then the purple polygon A'B'C' is the translation of A"B"C" 10 units to the right and 4 units up.
_____
You can tell a reflection is involved, because the clockwise order of A, B, C in the original is reversed to counterclockwise in A'B'C'. The left-right horizontal line AC becomes the down-up vertical line A'C', so you know the reflection is across the line y=x, and not the line y=-x.
After the reflection, point A" is located at (2, -6), so moving it to A'(12, -2) entails a translation 10 units right and 4 units up.
Answer:
B.
Step-by-step explanation:
<h3>
Answer: Shift the graph of g(x) up 5 units</h3>
Reasoning:

We see that f(x) = g(x)+5. Whatever the output of g(x) is, we add on 5 to get the output of f(x). The input is x, while the output is y. Adding 5 to the y output is what shifts every point on g(x) up 5 units to move the entire curve up 5 units.
Answer:
A = 0.859
Step-by-step explanation:
We want to find the area of the region bounded by the lines x = 1 and y = 0 and the curve y = xe^(x²).
At y = 0, let's find x;
0 = xe^(x²)
Solving this leads to no solution because x is infinity. Thus we can say lower bound is x = 0.
So our upper band is x = 1
Thus,lets find the area;
A = ∫xe(x²) dx between 1 and 0
A = (e^(x²))/2 between 1 and 0
A = ((e¹)/2) - (e^(0))/2)
A = 1.359 - 0.5
A = 0.859