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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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1. R(2,7) Across the y-axis Across the x-axis:​
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On holidays three friends decided to buy a Christmas tree for $96. They made a cash contribution of 3: 5: 8. The two friends who
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Answer:

  • 7 : 1

Step-by-step explanation:

  • Total money = $96
  • Contribution ratio = 3 : 5 : 8

<u>Contribution by each:</u>

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  • 16x = 96
  • x = 6
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<u>Equal contribution is:</u>

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3 0
3 years ago
The administration at Pierce College conducted a survey to determine the proportion of students who ride a bike to campus. Of th
8_murik_8 [283]

Answer:

The correct option is (D).

Step-by-step explanation:

To construct the (1 - <em>α</em>)% confidence interval for population proportion the distribution of proportions must be approximated by the normal distribution.

A Normal approximation to binomial can be applied to approximate the distribution of proportion <em>p</em>, if the following conditions are satisfied:

  • n\hat p \geq 10
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In this case <em>p</em> is defined as the proportions of students who ride a bike to campus.

A sample of <em>n</em> = 125 students are selected. Of these 125 students <em>X</em> = 6 ride a bike to campus.

Compute the sample proportion as follows:

\hat p=\frac{X}{n}=\frac{6}{125}=0.048

Check whether the conditions of Normal approximation are satisfied:

n\hat p =125\times 0.048=610

Since n\hat p, the Normal approximation to Binomial cannot be applied.

Thus, the confidence interval cannot be used to estimate the proportion of all students who ride a bike to campus.

Thus, the correct option is (D).

6 0
3 years ago
The ratio of boys to girls in a group is 7:1. If there are 48 more boys than girls, work out how many girls there are.
Anvisha [2.4K]

Answer: 8 girls

Step-by-step explanation:

Difference between boys and girls = 7 - 1

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6 units = 48

1 unit (girls) = 8

<em>I hope this helped! :)</em>

7 0
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