Answer:
x=63
x+15=78
Step-by-step explanation:
180-102=78
78-15=63
x=63
x+15=78
Answer:
12- 4i
Step-by-step explanation:
(4+6i)+(8-10i)
4+6i+8-10i
4+8+6i-10i
12-4i
if the question is (x + 5)^2, the product is x^2 + 10x + 25.
Part (a)
<h3>Answer: y1 and y3 are perpendicular</h3>
This is because the two slopes 2 and -1/2 multiply to -1. Perpendicular slopes multiply to -1 assuming neither line is vertical or horizontal.
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Part (b)
Graph each line to see where they cross. The three points of intersection are
(0,4)
(2,-2)
(4,2)
The order of the points doesn't matter.
You could also form three systems of equations pairing up the equations, and solving each system. That way you can find the points of intersection. Graphing may be a better and faster route in my opinion. See the diagram below.
The height of the fence is irrelevant. The bottom of the ladder is 3+8 = 11 feet from the building. The window is 14ft above the ground:
sqrt(14^2+11^2) = length of your ladder.