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anyanavicka [17]
3 years ago
10

Given the point (-3, 6) and a line y=2x-8, write an equation of a line through the point and parallel to the line.

Mathematics
1 answer:
skad [1K]3 years ago
7 0

Answer:

The answer to your question is     y = 2x + 12

Step-by-step explanation:

Data

P (-3, 6)

line y = 2x - 8

Parallel lines have the same slope.

Slope of the line given = m = 2

Slope of the new line = m = 2

- Get the equation of the new line

          y - 6 = 2(x + 3)

          y - 6 = 2x + 6

          y = 2x + 6 + 6

          y = 2x + 12

     

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What is the solution for the equation 6x − 8 = 4x? x = . (Input whole number only). (5 points) Blank 1:
vfiekz [6]

Answer:

4

Step-by-step explanation:

Step 1:

6x - 8 = 4x        Equation

Step 2:

6x = 4x + 8        Add 8 on both sides

Step 3:

2x = 8     Subtract 4x on both sides

Step 4:

x = 8 ÷ 2      Divide

Answer:

x = 4

Hope This Helps :)

6 0
3 years ago
Margo borrows $600, agreeing to pay it back with 4% annual interest after 18 months. How much interest will she pay?
Nastasia [14]
To find the simple interest, we multiply 600 × 0.04 × 1.5 to get that:

The interest is: $36.00
3 0
4 years ago
What is the equation of the line that passes through the point (-1,7) and has a slope of -2?
Pani-rosa [81]
Y = -2x + b
Plug in the point
7 = -2(-1) + b
7 = 2 + b
b = 5
Final equation y = -2x + 5
8 0
3 years ago
You're playing a game where you defend your village from an orc invasion. There are 333 characters (elf, hobbit, or human) and 5
antiseptic1488 [7]

Answer:

8/15

Step-by-step explanation:

khan acdamy

7 0
3 years ago
An engineer is going to redesign an ejection seat for an airplane. the seat was designed for pilots weighing between 130lb and 1
Vlad [161]

Answer: 0.4758

Step-by-step explanation:

Given : Mean : \mu=137\text{ lb}

Standard deviation : \sigma =28.9\text{ lb}

Also, the new population of pilots has normally distributed .

The formula to calculate the z-score :-

z=\dfrac{x-\mu}{\sigma}

For x=130 lb .

z=\dfrac{130-137}{28.9}=-0.2422145\approx-0.24

For x=171lb.

z=\dfrac{171-137}{28.9}=1.1764705\approx1.18

The p-value =P(-0.24

=0.8809999-0.4051651=0.4758348\approx0.4758348\approx0.4758

Hence, the required probability : 0.4758

6 0
3 years ago
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