Step-by-step explanation:
the line given slope = x coefficient = -5/2
Perpendicular slopes must be opposite reciprocals of each other: m1 * m2 = –1
new slope = 2/5
line equation formula = y = mx+ b
m = slope
y= 2/5x + b
from the point given (-6,0)
x = -6
y = 0
0= -12/5 + b
b = +12/5
line equation =
9514 1404 393
Explanation:
The quadrilateral will be a parallelogram if the diagonals bisect each other. That will be the case if the sums of their end-point coordinates are the same.
A + C = (-3, 6) +(9, -9) = (6, -3)
B + D = (6, 0) +(0, -3) = (6, -3)
Both diagonals have their midpoint at (3, -1.5), so the diagonals are mutual bisectors. The figure ABCD must be a parallelogram.
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The midpoint of AC is (A+C)/2 = (6, -3)/2 = (3, -1.5).
Answer:
480 mm³
Step-by-step explanation:
The volume (V) of a pyramid is
V = area of base × height, hence
V = × 96 × 15 = 32 × 15 = 480
