Step-by-step explanation:
<u>Step 1: Substitute x from the second equation into the second one</u>
<u>Step 2: Substitute y into the second equation</u>
Answer: 
Answer;
The equation of the line is
3y = 4x + 4
Explanation;
Mathematically we can write the equation of a straight line in the form
y = mx + c
where m is the slope
Since the old line would parallel to the new line, then they have the same slope
This means that the slope of the new line will be 4/3
Now, we had yet slope and a point, we need to write the equation of the line
mathematically;
y- y1 = m(x - x1)
In this case m = 4/3, (x1,y1) = (5,-8)
Thus;
y+ 8 = 4/3(x-5)
y+ 8 = 4/3x -20/3
y = 4/3x -20/3 + 8
Multiply through by 3
3y = 4x -20 + 24
3y = 4x + 4
Answer: Option C is the correct answer.
Step-by-step explanation:
Triangle STU is similar to triangle SVW. This means that the ratio of the length of each side of ∆STU to the length of the corresponding side of ∆ SVW is constant. Therefore,
ST/SV = TU/VW = SU/SW
SV = 12 + 18 = 30 in
Therefore,
12/30 = TU/40
Cross multiplying, it becomes
TU × 30 = 12 × 40
30TU = 480
Dividing the left hand side and the right hand side of the equation by 30, it becomes
30TU/30 = 480/30
TU = 16
