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RSB [31]
3 years ago
13

What is the slope-intercept form of the equation of the line that passes through the point (–6, 1) and is perpendicular to the g

raph of 2x + 3y = –5?
y = x – 8
y = x + 1
y = x + 1
y = x + 10
Mathematics
2 answers:
andrew-mc [135]3 years ago
8 0

Answer:

The equation of the parallel line would be y = 3/2x + 10

Step-by-step explanation:

In order to find this, we first need to find the slope of the first line. We can do this by solving for y.

2x + 3y = -5

3y = -2x - 5

y = -2/3x - 5/3

Now we know the slope to be 3/2 since perpendicular lines have the opposite and reciprocal. So we can use point-slope form to find the equation of the line.

y - y1 = m(x - x1)

y - 1 = 3/2(x - -6)

y - 1 = 3/2x + 9

y = 3/2x + 10

While this doesn't match any of your options, it is correct for the given parameters.

Vlada [557]3 years ago
8 0

Answer:

The correct answewr choice is y = 3/2x + 10 (D)

Step-by-step explanation:

I just took the Algebra quiz.

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Vladimir79 [104]

Answer: 3

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4 0
3 years ago
A $40 backpack is in sale for $28. What is the % of change
aliya0001 [1]
$ 40 ..... 100 %
$ 28 ..... x %

x = \frac{28 \cdot 100}{40} = 70

The % of change is 70 %.

This is equivalent with:
- the final price ($ 28) is 70 % from the initial price ($ 40)
- the initial price ($ 40) was reduced with 30% giving the new price as:
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3 years ago
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Help please I don’t understand
zvonat [6]

Your answer is wrong. The correct answer is J. She needs to jog another 285 yards.

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3 0
3 years ago
John and Ariana bought school supplies, John spent $10.65 on 4 notebooks and 5 pens. Ariana spent $7.50 on 3 notebooks and 3 pen
timurjin [86]

Cost of 1 notebook is $ 1.85 and cost of 1 pen is $ 0.65

<h3><u>Solution:</u></h3>

Let "a" be the cost of 1 notebook

Let "b" be the cost of 1 pen

Given that John spent $10.65 on 4 notebooks and 5 pens

cost of 1 notebook x 4 + cost of 1 pen x 5 = 10.65

4a + 5b = 10.65 ------ eqn 1

Given that Ariana spent $7.50 on 3 notebooks and 3 pens

3a + 3b = 7.50 ----- eqn 2

Let us solve eqn 1 and eqn 2 to get the values of "a" and "b"

Multiply eqn 1 with 3

12a + 15b = 31.95  ---- eqn 3

Multiply eqn 2 with 4

12a + 12b = 30 ------ eqn 4

Subtract eqn 4 from eqn 3

12a + 15b = 31.95

12a + 12b = 30

(-) ---------------------

3b = 1.95

b = 0.65

Substitute b = 0.65 in eqn 1

4a + 5(0.65) = 10.65

4a = 7.4

a = 1.85

Thus cost of 1 notebook is $ 1.85 and cost of 1 pen is $ 0.65

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