Which equations are perpendicular to the line that passes through (2,1) and (3,4)

Mathematics

1 answer:

REY [17]2 years ago

5 0

9514 1404 393

Answer:

y=(-1/3)x+6
y=(-1/3)x+10

Step-by-step explanation:

The slope of the given line can be found from the slope formula:

m = (y2 -y1)/(x2 -x1)

m = (4 -1)/(3 -2) = 3/1 = 3

The slope of the perpendicular line is the opposite reciprocal of this:

perpendicular slope = -1/m = -1/3

Choices (c) and (d) have x-coefficients that are -1/3. Those are the perpendicular lines.

y=(-1/3)x+6
y=(-1/3)x+10

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I need the equation and steps please!

serg [7]

Let d is the number of days of rental car
At Trinity's Tire World, $50 a day plus $75 fee: 50*d + 75
At India's Auto, $35 a day plus $105 fee: 35*d + 105

To find out after how many days, they both cost the same

50*d + 75 = 35*d + 105
50d + 35d = 105 - 75
15d = 30
d = 30/15
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Answer: after 2 days, they both cost the same amount of money

Proof:

50*d + 75 = 50*2 + 75 = 100 + 75 = 175
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3 years ago

Radical expression of 4d 3/8

DanielleElmas [232]

Answer:

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Step-by-step explanation:

$= > 4 {d}^{ \frac{3}{8} } \\ \\ = > 4({d}^{3 \times \frac{1}{8} }) \\ \\ = > 4( {d}^{3} \times {d}^{ \frac{1}{8} } ) \\ \\ = > 4( {d}^{3} \times \sqrt[8]{d} ) \\ \\ = > 4 \sqrt[8]{ {d}^{3} }$