Answer:
10 inches squared
Step-by-step explanation:
Area is length times width
A= lw
A= 15/2 x 4/3
A = 60/6
A= 10 in^2
Answer:
Segments AB and CD are perpendicular to each other.
Step-by-step explanation:
If you were to convert line segments AB and CD into slope-intercept form(y=mx+b), you would get y=-5x+1 for AB and y=1/5x-5.
Any line with a slope that is flipped-oppisite (-5/1 to -1/5 to1/5)
of another line must be perpendicular to each other. It doesn't have to have the same y-intercept, it just makes the intersecting point different.
Answer:
Step-by-step explanation:
If the (X) in this means times then
1/15
Answer:
2np + p²
Step-by-step explanation:
The general formula for the area of a square is A = s², where s = the length of one side of the square. In the case of the smaller square the area would be: n x n = n². Since the side of the larger square is 'p' inches longer, the length of one side is 'n + p'. To find the area of the larger square, we have to take the length x length or (n +p)².
Using FOIL (forward, outside, inside, last):
(n + p)(n+p) = n² + 2np + p²
Since the area of the first triangle is n², we can subtract this amount from the area of the larger square to find out how many square inches greater the larger square area is.
n² + 2np + p² - n² = 2np + p²
