Answer:
f(x)= 3(x+2)+4
Step-by-step explanation:
f(x)=a(x-h)+k
a= stretches the function
h= horizontal units
k= vertical units
Answer:
Step-by-step explanation:
Answer:
2y
Step-by-step explanation:
Simplifying
21x + -42y = 0
Solving
21x + -42y = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '42y' to each side of the equation.
21x + -42y + 42y = 0 + 42y
Combine like terms: -42y + 42y = 0
21x + 0 = 0 + 42y
21x = 0 + 42y
Remove the zero:
21x = 42y
Divide each side by '21'.
x = 2y
Simplifying
x = 2y
Answer:
a) x=93
Step-by-step explanation:
Answer:
The slope of AB is undefined; the slope of CD is 0; The lines are perpendicular.
Step-by-step explanation:
Line AB would form a vertical line. Slope is Δy/Δx. To go from 3 to 7 (the y-coordinates) you need to go up 4 units. So we would then have Δy/Δx = 4/Δx. To go from -5 to -5 (the x-coordinates) we have to go left or right 0 units. So, Δy/Δx = 4/Δx = 4/0. Anything divided by 0 is undefined. <em>Remember: vertical lines always have an undefined slope.</em>
Line CD would form a horizontal line. To go from 9 to 9 (the y-coordinates) you need to go up or down 0 units. So, Δy/Δx = 0/Δx. To go from 1 to -10 (the x-coordinates) you need to go down 11 units. So Δy/Δx = 0/Δx = 0/1. 0 divided by anything is 0. <em>Remember: horizontal lines always have a slope of 0.</em>
If you picture a horizontal line and a vertical line intersecting, they would both form a right angle when they intersect. By definition, this would make both lines perpendicular.
