Answer:
8x - 5y - 13
Step-by-step explanation:
(6x - 3y - 12) - (2x +2y - 10)
(6x - 3y - 12) - 2x - 2y + 10
6x - 3y - 23 - 2x - 2y + 10
8x - 5y - 13
Answer:
4 feet
Step-by-step explanation:
We start by subtracting the 6 from the 14, to get the leftover space on the wall, 8 feet. We then divide that by two, since if the painting is centered there will be two equally-sized spaces on either side of it. This means that X = 4 feet.
Answer:
The most precise name for a quadrilateral ABCD is a parallelogram
Step-by-step explanation:
we have
A(2,3) B(7,2) C(6,-1) D(1,0)
Plot the quadrilateral'
using a graphing tool
The quadrilateral ABCD in the attached figure
Verify the length of the sides
the formula to calculate the distance between two points is equal to

step 1
Find distance AB
A(2,3) B(7,2)
substitute



step 2
Find distance BC
B(7,2) C(6,-1)
substitute



step 3
Find distance CD
C(6,-1) D(1,0)
substitute



step 4
Find distance AD
A(2,3) D(1,0)
substitute



step 5
Compare the length sides
AB=CD
BC=AD
Opposite sides are congruent
<em>Verify the slope of the sides</em>
The formula to calculate the slope between two points is equal to

step 1
Find slope AB
A(2,3) B(7,2)
substitute



step 2
Find slope BC
B(7,2) C(6,-1)
substitute



step 3
Find slope CD
C(6,-1) D(1,0)
substitute



step 4
Find slope AD
A(2,3) D(1,0)
substitute



step 5
Compare the slopes


The slope of the opposite sides are equal, that means, opposite sides are parallel
The slopes of consecutive sides are not opposite reciprocal, that means, consecutive sides are not perpendicular
therefore
The most precise name for a quadrilateral ABCD is a parallelogram
Add 3/7 to the equation for x= 4 3/7 which is your final answer. X is 4 3/7.