Answer:
Parallel: y = -5x - 34 ; Perpendicular: y = 1/5x - 14/5
Step-by-step explanation:
Lines that are parallel have the same slope. Lines that are perpendicular have opposite reciprocal slopes. (Ex. 1/3 ⇒ -3)
We need to substitute the given values into the point-slope form equation.
Parallel:
y + 4 = -5(x + 6)
y + 4 = -5x - 30
y = -5x - 34
Perpendicular:
y + 4 = 1/5(x + 6)
y + 4 = 1/5x + 6/5
y = 1/5x - 14/5
Answer:
- 5x+3
- x -7
- -x +7
Step-by-step explanation:
Combine like terms. The associative and commutative properties of addition apply, as does the distributive property.
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1. (2x+5)+(3x-2) = (2x +3x) +(5 -2) = 5x +3
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2. (3x-2)-(2x+5) = 3x -2 -2x -5 = (3x -2x) +(-2 -5) = x -7
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3. (2x+5)-(3x-2) = 2x +5 -3x +2 = (2x -3x) +(5 +2) = -x +7
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<em>Additional comment</em>
Note that swapping the order of operands in a subtraction problem (problems 2 and 3) will cause the sign of the result to reverse.
2/3=x/148. First you cross multiply the 148 and 2. with that answer you divide that from 3 to get your x value
Answer: 98.66666666666667
Answer:
sqrt(3/8) = t
.61237 = t
Step-by-step explanation:
h(t)=−16t^2+10
Let h(t) = 4
4 =−16t^2+10
Subtract 10 from each side
4-10 =−16t^2+10-10
-6 = -16 t^2
Divide by -16
-6/-16 = t^2
3/8 = t^2
Take the square root of each side
sqrt(3/8) = sqrt(t^2)
sqrt(3/8) = t
.61237 = t
We only take the positive since time is not negative
