Answer:
4
Step-by-step explanation:
We can add or subtract integer. We can also subtract like terms.
5. A. (4, -2)
6. C. (x, y) — (x, -y + 5)
Step-by-step explanation:
5. For the formula y = x, the x and y coordinates get swapped.
M = (-2, 4) — M’ = (4, -2)
6. If the coordinates get reflected across the x-axis, the y coordinates become negative.
(x, y) — (x, -y)
Now that the coordinates are reflected, you go 5 units up (+ 5) to get to the reflection of the coordinates if it was 5 units down before it reflected across the x-axis (- 5).
Ex. 1, 6 gets reflected across the x-axis and moved 5 units up. It’s reflection would be equivalent to (1, -1) because it moved 5 units down (1, 1) then reflected across the x-axis (1, -1).
(x, y - 5) reflected across the x-axis is equivalent to (x, -y + 5)
Answer: a = 23 ft.
Reasoning:
The question asks for the value of the leg a, given the tangent of the opposite angle and the length of the adjacent-leg, b.
The ratio that relates the three parameters is:
tan(A) = opposite-leg / adjacent-leg = a / b = a / 23 ft
Solve for a, wich is the unknown:
a = 23ft * tan(A) = 23ft * 1.0 = 23 ft
Answer: 23 ft.
