Answer: They are not perpendicular because their slopes are not negative reciprocals.
Step-by-step explanation:
For these two lines to be perpendicular, their slopes have to be negative reciprocals.
Slope of FG.
F = (-4, 1)
G = (0, -2)
= (Y₂ - Y₁) / (X₂ - X₁)
= (-2 - 1) / (0 + 4)
= -3/4
Slope of HJ
J = (0 , 4)
H = (-4, -2)
Slope = (Y₂ - Y₁) / (X₂ - X₁)
= (-2 - 4) / (-4 -0)
= 6/4
= 3/2
<em>The slopes of these lines are not negative reciprocals so these lines are not perpendicular. </em>
Answer:
The number, x = { -5 < x < 14}
This means x is any integer between -5 and 14
Step-by-step explanation:
From the statement, let the number be x
3 + x = y; y = { -2 < y < 17}
This means that y is any integer between -2 and 17
Therefore, x = y - 3
Subtract 3 from the limits of y
i.e. -2 - 3 = -5 and 17 - 3 = 14
Hence, x = { -5 < x < 14}
I would think it would be 19 that's my guess
Answer: 32
Step-by-step explanation: this is arithmetic sequence
general formula = a+(n-1)d
nth term = 5+(n-1)3
=5+3n-3
=2+3n
10th term = 2+3(10)
=32