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nirvana33 [79]
3 years ago
11

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:
ch4aika [34]3 years ago
7 0

Answer: y = 2x

Step-by-step explanation:

The equation of a straight line can be represented in the slope intercept form as

y = mx + c

Where

m = slope = (change in the value of y in the y axis) / (change in the value of x in the x axis)

The equation of the given line is

y = 2x - 8

Comparing with the slope intercept form, slope = 2

If two lines are parallel, it means that they have the same slope. Therefore, the slope of the line passing through (- 3,-6) is 2

To determine the intercept, we would substitute m = 2, x = - 3 and

y = - 6 into y = mx + c. It becomes

- 6 = 2 × - 3 + c

- 6 = - 6 + c

c = - 6 + 6 = 0

The equation becomes

y = 2x

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The Polygons below are similar find the value of x and y
balandron [24]

Answer:

x=49\degree,y=6

Step-by-step explanation:

Angle x corresponds to the complement of the 41\degree in the bigger triangle. See diagram in attachment.

This implies that,

x=90-41=49\degree


Also since the triangles are similar, the sides are in the same proportion.

This implies that,

\frac{3y-8}{15}=\frac{4}{6}


We multiply both sides by 15 to get,

3y-8=\frac{4}{6}\times 15


\Rightarrow 3y-8=\frac{2}{3}\times 15


\Rightarrow 3y-8=10


\Rightarrow 3y=10+8


\Rightarrow 3y=18


We divide through by 3 to get,

y=6


The correct answer is D

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3 years ago
Drivers pay a toll to pass over a busy bridge, and there are many toll booths that collect money. The city manager counted the t
SIZIF [17.4K]

The median number of cars for both distributions lies in the 20–30 interval and there were more than 40 cars in line more often on the weekend then the weekday.

<h3>What is mean and median ?</h3>

The arithmetic mean is found by adding the numbers and dividing the sum by the number of data in the list.

The median is the middle value in a list ordered from smallest to largest.

Given data:

Data A:

0 - 10           4

10 - 20        13

20 - 30       19

30 - 40        8

40 - 50        5

50 - 60        1

Data B:

0-10           12

10-20        20

20-30        14

30-40         3

40-50         1

Thus, the median number of cars for both distributions lies in the 20–30 interval and there were more than 40 cars in line more often on the weekend then the weekday.

Learn more about Mean and Median from:

brainly.com/question/17060266

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Answer:

the answer is -1

Step-by-step explanation:

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3 years ago
FIND THE SLOPE <br> please explain me how to do it
natka813 [3]

Answer:

slope = - 1

Step-by-step explanation:

Calculate the slope m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (- 4, 7) and (x₂, y₂ ) = (0, 3) ← 2 ordered pairs from the table

m = \frac{3-7}{0+4} = \frac{-4}{4} = - 1

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