Factor completely: 3x^2 – 21x + 30
2 answers:
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1.
60² + 30² = 4500²
Opposite corner = 67.08 ft.
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2.
6² + 8² = 100²
The wire must be 10 ft.
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3.
7² + 14² = 245²
The rope is 15.65 ft.
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4.
180² + 300² = 122400²
He ran 349.85 ft.
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I'm not too sure about question 3.
Answer:
No
Step-by-step explanation:
If the lines are perpendicular then they will be the negative reciprocals of each other.
Calculate the slope using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = P(- 8, - 10) and (x₂, y₂ ) = Q(- 5, - 12)
=
= -
Repeat the process with
(x₁, y₁ ) = R(9, - 6) and (x₂, y₂ ) = S(17, - 5)
=
=
The slopes are not the negative reciprocal of each other, thus they are not perpendicular.