Answer:
8. yes
9. no
10. yes
Step-by-step explanation:
8. A horizontal line (y=3) is perpendicular to a vertical line (x=0).
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9. A horizontal line (y=2) is parallel to a horizontal line (y=-1/2). The lines are not perpendicular.
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10. A parallelogram is a rectangle if the sides are perpendicular. The slopes of the short sides are rise/run = -1, and the slopes of the long sides are rise/run = +1. These values have a product of -1, so the sides are perpendicular. The figure is a rectangle.
Answer:
a) t=98
b) b=32
Step-by-step explanation:
a) 4t/7 -20=36r
r=1
4t/7-20=36
=36
4t-140=252
4y=392
t=98
b) 2k/5=b/2-12
k=10
20/5=b/2-12
4=
8=b-24
b=32
The second one, ((6 x 5) x 4) +((5 x 4) x 2) = 160
the third one, ((7 x 6) x 4) + (6 x 4) x 2) = 216
the fourth one, ((8 x 4) x 4) + ((4 x 3) x 2) = 152
Step-by-step explanation:
let eqn be y = mx + b.
m = (-2 - 8)/(1 - 3) = 5
sub (3, 8):
8 = 5(3) + b
b = -7
therefore equation of the line is y = 5x - 7
Topic: coordinate geometry
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