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3 years ago

What is the equation of a line that is perpendicular to 2x+3y=9 and passes through the point (8,5)

2 answers:

7 0

For
ax+by=c
slope=-a/b

perpendiculare lines have slopes that multiply to -1

so

2x+3y=9
slope=-2/3
-2/3 times what=-1
what=3/2

point slope form
the equation of a line that passes through the point (x1,y1) and the slope is m is
y-y1=m(x-x1)
slope=3/2
point i (8,5)

equation is
y-5=3/2(x-8)
converted to standard form
2y-10=3x-24
-3x+2y=-14
3x-2y=14

Ipatiy [6.2K]3 years ago

7 0

2x+3y=9
3y = -2x + 9
y = -2/3x + 3
slope = -2/3 so perpendicular slope = 3/2

y - 5 = 3/2 (x - 8)
y - 5 = 3/2x -12
y = 3/2x - 12 + 5
y = 3/2x - 7

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Write an equation point slope form for the line that goes through the given point with the given slope.

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now we sub
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gizmo_the_mogwai [7]

Answer:

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Step-by-step explanation:

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2 years ago

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3 years ago

Anthony drove 765 miles in two days. At this rate, how many miles will he drive in 3.5 days

rosijanka [135]

Answer:

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Step-by-step explanation:

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2 years ago

Read 2 more answers

You are enclosing a rectangular garden with 180 feet of omamental fencing. The area of the garden is 1800 square feet. What are

Brut [27]

Answer:

Step-by-step explanation:

Perimeter is

P = 2L + 2W. We are given the perimeter as 180 feet, so

180 = 2L + 2W. Solve this for either L or W. I chose W, no reason...

180 - 2L = 2W so

90 - L = W Hold that thought. We'll come back to it in a minute.

Area is

A = LW. We are given the area as 1800 square feet, so

1800 = LW. Sub in 90 - L for W:

1800 = L(90 - L). Distribute to get a quadratic:

$1800=90L-L^2$

Get everything on one side and solve for the length by factoring:

$-L^2+90L-1800=0$

Factor this however you like to factor quadratics, to get the length of

L = 30 and L = 60. First off, the length is longer than the width in general, so if we want to solve for the width, plug in 60 as L in the equation in bold print:

90 - 60 = W and

30 = W

So L = 60 and W = 30

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