Answer:
see explanation
Step-by-step explanation:
If 2 lines are perpendicular then the product of their slopes equals - 1
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Consider the given equations
3x - 4y = 12 ( subtract 3x from both sides )
- 4y = - 3x + 12 ( divide terms by - 4 )
y =
x - 3 ← in slope- intercept form
with slope m = 
3y = 12 - 4x = - 4x + 12 ( divide terms by 3 )
y = -
x + 4 ← in slope- intercept form
with slope m = - 
Then
× -
= - 1
Since the product of their slopes = - 1 then the lines are perpendicular
Answer: D
Step-by-step explanation:
To find the perimeter of the square, you want to first find the length of each side. Since the figure is a square, we know that each side is equal to each other. We can set the expressions equal to each other to find x.
[subtract both sides by 1/2x]
[add both sides by 1]
[multiply both sides by 4]

Now that we know x, we can plug it into each expression to find teh length of each side.
[multiply]
[subtract]

Now that we know each side is equal to 23, we can add all the sides together to find the perimeter.
23+23+23+23=92 or 23×4=92
Since we know that the perimeter is 92 units, the answer is D.
Answer: total net sales = $7950
Step-by-step explanation:
The formula for determining total net sales is expressed as
total net sales = Gross sales - (sales returns + allowances + discount)
Gross sales means total sales.
From the information given,
Gross sales = $9000
Discounts = $900
Returns = $150
Allowances = 0(this is because it was not given)
Therefore,
total net sales = 9000 - (900 + 150)
= 9000 - 1050
total net sales = $7950
Answer:

Step-by-step explanation:
When we scale an object by a scale factor, the side lengths become the scale factor times bigger than the previous sides. Therefore, with a scale factor of 6, the side lengths would be multiplied by 6.

Hope this helped!