1/2 = 7/14
3/7 = 6/14
7/14 + 6/14 = 13/14
Shaded Area: 1/14
Answer:
A
Step-by-step explanation:
<span>Beth
is purchasing school supplies. She knows that the price for her pencil
case is $5. She only has $20 to spend. What is the most amount of money
she can spend on the remaining supplies?</span>
Answer:
6 3/8 inches (6.375 inches)
Step-by-step explanation:
For simplicity we'll assume that both the photo and the poster board are square. To determine the width of the border, subtract 8.5 inches from the poster board width 21.25 inches, obtaining 12.75 inches, and then divide that 12.75 inches by 2: 6.375 inches (6 3/8 inches).
Set the photo 6 3/8 inches from each edge of the poster board.
2x+9y=-30 subtract 2x from both sides
9y=-2x-30 divide both sides by 9
y=-2x/9-30/9
So the slope of the reference line is -2/9. For a line to be perpendicular to this line their slopes must be negative reciprocals of one another, mathematically:
m1*m2=-1 and in this case:
-2m/9=-1
m=9/2
m=4.5, so far we have:
y=4.5x+b, using point (-8, 0) we can solve for b
0=4.5(-8)+b
0=-36+b
36=b, so our line is:
y=4.5x+36