The answer is B
You would first move 3 coordinates over on the x axis and then 4 coordinates up the y axis.
1. You can expand the coefficients to yield 6, and add the powers since the bases are the same (ie A)
2. y⁻² can also be rewritten as 1/y², so it becomes 1/y² · 1/y⁵ = 1/y⁷ (ie C)
3. Only the x is affected by the power.
4. y = 3·5ˣ doesn't change in slope, so it essentially is similar to a 5ˣ graph.
5. Should be pretty straight forward.
6. Should be pretty straight forward.
7. Should be pretty straight forward.
8. Since x is the length of the border, calculate the area of the frame and subtract that from the area of the square painting. (Remember that the length of the square painting is x - 8, not x - 4)
9. Should be pretty straight forward.
11 - 25 are pretty much similar to each other.
If you have trouble, let me know and I'll walk you through it.
Answer:
step 1. if the prize were chosen first the probability would be (1/2)(1/4) = 1/8.
step 2. the probability would be the same as part A.
Answer:
They are complementary.
Step-by-step explanation:
we know that
The sum of the interior angles of a triangle must be equal to 180 degrees
so
A+B+C=180°
where
A,B and C are the measures of the interior angles of triangle
In a right triangle
The measure of angle C ( I assume that the right angle is C) is equal to 90 degrees
so
A+B+90°=180°
A+B=180°-90°
A+B=90°
Remember that
If two angles are complementary, then their sum is equal to 90 degrees
therefore
A and B are complementary angles