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bonufazy [111]
3 years ago
10

Write an equation in slope-intercept form for the line that passes through (1, 1), and is perpendicular to the graph of 3x + 2y

= -7
Mathematics
2 answers:
defon3 years ago
8 0

Answer:

2X-3Y = -1

Step-by-step explanation:

given equation is 3X +2Y = -7

FIRST BRING THIS IN SLOPE INTERCEPT FORM

2Y = -3X -7

DIVIDING EACH TERM BY 2

Y = (-3/2)X -7/2

SLOPE OF GIVEN EQUATION IS -3/2

SLOPE OF LINE PERPENDICULAR TO THIS IS NEGATIVE RECIPROCAL HENCE  SLOPE OF REQUIRED EQUATION IS 2/3

EQUATION OF STRAIGHT LINE IN POINT SLOPE FORM IS

Y-Y1 = m(X-X1)

Y-1 = (2/3)(X-1)

MULTIPLYING ALL TERMS BY 3

3(Y-1) = 2(X-1)

3Y-3 = 2X -2

2X-2 = 3Y-3

2X-3Y =-3+2

2X-3Y = -1

Nezavi [6.7K]3 years ago
3 0

Answer:

y=2/3x+1/3

Step-by-step explanation:

3x+2y=-7

y= -3/2x-7

slope is 2/3x

y-1=2/3(x-1)

so , y= 2/3x+1/3

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The distance between two schools,A and B is 2 km.A market is situated a third of the distance from A to B.How far is the market
bekas [8.4K]

Answer:

\frac{4}{3}

Step-by-step explanation:

Find distance between B and market: |B-M|=|M-B|

Distance between A and B: |A-B| = 2 , call this equation (1)

Distance between A and market |A-M| = \frac{1}{3} |A-B|=\frac{2}{3}, call this equation (2)

Solve (1) - (2)

|A-B-A+M| = 2-\frac{2}{3} \\|M-B|=|B-M|=\frac{4}{3}

3 0
3 years ago
You and your friends find a rope that hangs down 15 m from a high tree branch right at the edge of a river. You find that you ca
Crazy boy [7]

Answer:

Vertical angle=9.5°

Time to reach maximum height = 1.24seconds

Step-by-step explanation:

The maximum distance x is reached when rope swings to a maximum height, maximum height is gotten from the equation KE= 1/2MU^2 = MgH = MgL= Mgl(1- cos theta.

Where theta is the vertical angle, U=2m/s and L= 15m

2gl -2glcostheta=U^2

2gl U^2=2gl cos theta

But theta= Acos(1- U^2)/2gl

Acos(1-/(2×9.8×15)

Theta =9.5°

Maximum height li given by

Lsintheta

But X= UxT

T=X/UX= Lsintheta/U = 15sin9.5 /2 =1.24seconds

6 0
3 years ago
Which prism has an volume of 6 cubic units?
nydimaria [60]

Answer:

B (second one)

Step-by-step explanation:

2 x 2 = 4

4 x 1.5 or 1 1/2= 6

hope this helps

8 0
2 years ago
What is 200 divided by 4
SOVA2 [1]
200÷4=50

hope thishelped
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3 years ago
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57 is the answer to your question
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