Answer: X-3(2x-8)= -25
A. X= 11
B. X= 14
C. X=10
D. x=5
Step-by-step explanation:
For this case we have the following data:
So that the figure can be a rectangle, its diagonals must be equal, that is, 
In this way we have:
Clearing x we have:
Thus, x must be equal to 10 so that the figure is a rectangle.
Answer:
Option A
y=3x+6
Step-by-step explanation:
point 1 (2;12)
point 2 (4;18)
m=3
y=mx+b
sub in a point and gradient
12=3(2)+b
12=6+b
b=6
y=3x+6
This would simply be y=8x. Which is not one of the options. Are you sure that is the function?
Answer:
y - 4 = (1/3)(x - 9) or x - 3y = -3
Step-by-step explanation:
Here we're told that the slope is 1/3 and that (9, 4) is a point on the line. Use the point-slope formula y - k = m(x - h). Substitute 4 for k, 9 for h and 1/3 for m:
y - 4 = (1/3)(x - 9) (point-slope formula)
3y - 12 = x - 9 (standard form of the same equation) = >
-12 + 9 = x - 3y, or x - 3y = -3 (standard form)
