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Answer:
13) The planes ABF and FHG are perpendicular
14) Segments Ab and CD are parallel.
Step-by-step explanation:
13)
Planes ABF and FHG are perpendicular (they intersect along side EF)
14)
In order to find out about the segments AB and CD, let's use the formula for the slope that joins any two points on the plane:
Therefore, given:
A = (-3, 2)
B = (1, 4)
C = (-3, -1)
D = (1, 1)
we have for segment AB the following slope:
and for segment CD the following slope:
Since they show the same slope, these two segments are parallel.
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Answer:
x = {7, 1, -4}
Step-by-step explanation:
Dividing the given factor from the polynomial using synthetic division, we get ...
f(x) = (x -7)(x^2 +3x -4)
Factoring the quadratic* gives ...
f(x) = (x -7)(x -1)(x +4)
The zeros are the values of x that make these factors be zero:
x = {7, 1, -4}
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* The constants in the binomial factors are factors of -4 that have a sum of +3. Those are (-1)(4) = -4. -1+4 = 3.
