Answer:
The window should be positioned 4 1/8 feet far from each edge of the wall.
Step-by-step explanation:
Since a construction crew is placing a square in a wall for a new window, which is 3 1/8 feet wide, while the wall has a length of 11 3/8 feet, and the crew wants to position the window at the center of the wall, to determine how far from each edge of the wall should the window be positioned, the following calculation must be performed:
1/8 = 0.125
3/8 = 0.375
(11,375 - 3,125) / 2 = X
8.25 / 2 = X
4.125 = X
Therefore, the window should be positioned 4 1/8 feet far from each edge of the wall.
Answer:
y = -x+3
Step-by-step explanation:
First find the slope
m = ( y2-y1)/(x2-x1)
= ( 2 - -3)/( 1 - 6)
( 2+3)/( 1-6)
5/ -5
-1
The slope is -1
We can use slope intercept form
y = mx+b where m is the slope and b is the y intercept
y = -x+b
Substitute a point into the equation
2 = -1 +b
Add 1 to each side
2+1 = -1+1+b
3 = b
y = -x+3
Ok so we'll go ahead and solve for y first - we just need to get it alone on one side of the equal sign
Step 1: subtract 2x from each side
2x - 7y - 2x = 19 - 2x
This cancels out the 2x on the left, giving us
-7y = 19 - 2x
Step 2: divide both sides by -7
= 
+ 
This gives us
y = -19/7 + 2x/7
That should be your answer for the first question. Now solving the next parts are easy. All you need to do is plug in x.
When x = -3
y = -19/7 + 2x/7
y = -19/7 + 2(-3)/7
y = -19/7 - 6/7
y = -25/7
When x = 0
y = -19/7 + 2x/7
y = -19/7 + 2(0)/7
y = -19/7
When x = 3
y = -19/7 + 2x/7
y = -19/7 + 2(3)/7
y = -19/7 + 6/7
y = -13/7
Hope that helps! Feel free to ask if I can help with anything else :)
Answer:
thanks for free points
Step-by-step explanation:
A. (-2,3) because Rectangle ABCD is dilated by a scale factor of 1/2.
