The equation for line A is shown below: Y= -2/3x-4 Line A and Line B are perpendicular, and the point (-2 , 1) lies on Line B. Which equation Below represents line B?

Answer:

[tex]y = \frac{2}{3}x + \frac{7}{3}[/tex]

Step-by-step explanation:

Given

Line A:

[tex]y = -\frac{2}{3}x - 4[/tex]

Line B:

[tex](-2,1)[/tex]

Required

Determine the equation of Line B

First, we need to determine the slope of A using

[tex]y =mx + b[/tex]

Where:

[tex]m = slope[/tex]

By comparison:

[tex]y = -\frac{2}{3}x - 4[/tex]

[tex]m = -\frac{2}{3}[/tex]

Since A and B are perpendicular:

The slope of B (m2) is:

[tex]m_2 = \frac{-1}{m}[/tex]

[tex]m_2 = -1/\frac{-2}{3}[/tex]

[tex]m_2 = -1 * \frac{-3}{2}[/tex]

[tex]m_2 = \frac{3}{2}[/tex]

The equation of B is calculated as thus:

[tex]y - y_1 = m(x - x_1)[/tex]

Where

[tex](x_1,y_1) = (-2,1)[/tex]

[tex]m = \frac{2}{3}[/tex]

So, the equation becomes

[tex]y - 1 = \frac{2}{3}(x - (-2))[/tex]

[tex]y - 1 = \frac{2}{3}(x + 2)[/tex]

Open bracket

[tex]y - 1 = \frac{2}{3}x + \frac{4}{3}[/tex]

Make y the subject

[tex]y = \frac{2}{3}x + \frac{4}{3} + 1[/tex]

[tex]y = \frac{2}{3}x + \frac{4 + 3}{3}[/tex]

[tex]y = \frac{2}{3}x + \frac{7}{3}[/tex]

Jason inherited a piece of land from his great-uncle. Owners in the area claim that there is a 45% chance that the land has oil. Jason decides to test the land for oil. He buys a kit that claims to have an 80% accuracy rate of indicating oil in the soil. What is the probability that the land has oil and the test predicts it?

A.
0.09

B.
0.11

C.
0.36

D.
0.44

Answer this please and thank you

Bryce orders the following items from a catalog. What is the total price he charges to his credit card if the sales tax is 6 percent and nontaxable shipping costs $5 for the order? Round to the nearest cent if necessary.

can i get help plzzzzz

and explain how you got the answer

Х
-7
-3
1
5
9
13
-
- 12
yl -28
4
20
36
52
С C
10
>

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(5 x 6) x 7 = 5 x (6 x 7)
5 x 7 = 5 x 7
5 x 7 = 7 x 5

5,049 +48=105
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11 times as much as the price of the other.
• 'Write an equation to model the price of the less expensive
comic book. Then find the price.
• Write an equation to model the price of the more expensive
comic book. Then find the price.

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$349.75

$437.50

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Jacob is a construction worker who earns a yearly income given by the expression 2000x + 3000, where x is the number of hours he works each week. Carlos works with Jacob and earns a yearly income given by the expression 3800x – 40000. A manager predicts that if Carlos and Jacob each work 35 hours, they will earn the same amount of money.


PART A:The number of hours that makes the equation true is

Options: 24, 27, 29,31,34


PART B:Round your answer to the nearest whole number. The manager's prediction is

Options: equal to, less than, greater than


the actual number of hours that Carlos and Jacob need to work to earn the same amount of money.​

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3
y=-2 +4
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5
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