Answer:
m = -1/3
Step-by-step explanation:
y = 3x-4
This is in slope intercept form
y = mx+b m is the slope and b is the y intercept
The slope is 3 and the y intercept is -4
We want the slope of a line that is perpendicular
Perpendicular lines have slopes that multiply to -1
Let m be the slope of the line that is perpendicular
3 * m = -1
Divide each side by 3
3m/3 = -1/3
m = -1/3
Isolate the variable by dividing each side by factors that don't contain the variable.
l = v/wh
w
h
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Answer:
w= 9
Step-by-step explanation:

Square both sides:
-4w +61= (w -4)²

Expand:
-4w +61= w² -2(w)(4) +4²
-4w +61= w² -8w +16
Simplify:
w² -8w +16 +4w -61= 0
w² -4w -45= 0
Factorize:
(w -9)(w +5)= 0
w -9= 0 or w +5= 0
w= 9 or w= -5 (reject)
Note:
-5 is rejected since we are only taking the positive value of the square root here. If the negative square root is taken into consideration, then w= -5 would give us -9 on both sides of the equation.
<u>Why </u><u>do </u><u>we </u><u>use </u><u>negative </u><u>square </u><u>root?</u>
When solving an equation such as x²= 4,
we have to consider than squaring any number removes the negative sign i.e., the result of a squared number is always positive.
In the case of x²= 4, x can be 2 or -2. Thus, whenever we introduce a square root, a '±' must be used.
However, back to our question, we did not introduce the square root so we should not consider the negative square root value.
Set them up like this example:
4 8
_ = _
6 12
cross multiply by multiplying 4 by 12 and 6 by 8.
If they are equal then it is proportional.