Answer: x=5 y=6
Step-by-step explanation: 6y=3× +21
6y-6=2× +20
Opposite sides of the rectangle are equal
Substitute 3x +21 into 6y in the second equation.
Answer:
46
Step-by-step explanation:
Break the shape into smaller shapes, then solve:
Large Rectangle -> 4x8=32
Tiny Rectangle at the bottom ->2x3=6
Triangle at top can be broken into two right triangles ->
(4x2)(1/2)=4
(4x2)(1/2)=4
Add: 32+6+4+4=46
we know that
The formula to calculate the slope between two points is equal to

<u>Part a) Find the slope of line PQ</u>

substitute in the formula


Any line parallel to X-axis has slope equal to zero
so
the line PQ is parallel to the x-axis
therefore
<u>the answer Part a) is </u>

<u>Part b) Find the slope of line MN</u>

substitute in the formula


Anything divided by zero is undefined
m=undefined
therefore
<u>the answer Part b) is </u>
undefined
<u>Part c) How are the two lines related ? </u>
we know that
Any line perpendicular to X-axis has slope undefined
Because the term
will always be zero
so
<u>the answer Part c) is</u>
the lines are perpendicular