To reflect in the line y = -x + 6, we translate everything down 6 first. This will make it seem like we are reflecting in the line y = -x
(x,y) → (x, y-6)
Then, to reflect in the line y = -x, we switch the x- and y-coordinates and then make them negative
(x,y) → (-(y-6), -x)
Then we move everything back up again
(x,y) → (-(y-6), -x + 6)
I will present to you an example. Reflect the point (-4, 8) in the line y = -x + 6.
(-4,8) → (-(8-6), -(-4) + 6) → (-2, 10)
You should graph this out to confirm with the reflection line.
Answer:
<em>14850 inches</em>
Step-by-step explanation:
The complete question is...
A scale drawing of a living room is shown below:
A rectangle is shown. The length of the rectangle is labeled 5.5 inches. The width of the rectangle is labeled 3 inches. The scale is 1 to 30.
What is the area of the actual living room in square feet? Round your answer to the nearest whole number.
The ratio of the scale = 1:30
This means that the dimensions of the drawing has been reduced to 1/30 of the actual building's dimensions.
We first scale up the drawing to 30 times to get the dimensions of the actual building.
The length on the drawing = 5.5 inches
The real length of the actual building = 5.5 x 30 = 165 inches
The width of the drawing = 3 inches
The width of the actual building = 3 x 30 = 90 inches
The area of the actual building = length x width
==> 165 x 90 = <em>14850 inches</em>
Answer:
x= -1
Step-by-step explanation:
3x-1=2x2 (calculate the product)
3x-1=4x (move terms)
3 x - 4 x =1 (collect the terms)
- x = 1 (change the signs)
Solution is x = -1
Answer:
Please see attached picture
hope it helped you:)
Answer:
150
Step-by-step explanation: multiply 10 and 12 and get your rectangle area then multiply .5( 10 and 6) then add them together and get 150