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marissa [1.9K]
4 years ago
13

1. Line L mapped onto line M by a dilation centered

Mathematics
1 answer:
Nonamiya [84]4 years ago
6 0

Answer:

y = 4x - 6

Step-by-step explanation:

The equation of line L is

4x - y = 2

We solve for y to get;

y = 4x - 2

This line is mapped onto line M by a dilation centered at the origin with a scale factor of 3.

Line M will also have the same slope as line L.

Only the y-intercept will change.

The y-intercept of L is (0,-2).

The y-intercept of M will be (0,-6) because we multiplied each by 3.

The equation of line M is

y = 4x - 6

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Three rational numbers between 1/3 and 1/5
Gala2k [10]

Three rational numbers between

1/3 and 1/5 are 4/15, 3/10, and 7/30

Given:The two numbers are 1/3 and 1/5

To find:The rational number between two numbers

Solution:Now, to find the rational number, add the numbers and divide their sum by 2.

(i) First rational number between

1/3, 1/5 = 1/3+1/5=8/5

Divide 18/5 by 2------> 8/15 x 1/2= 8/30= 4/15

The series becomes, 1/3, 4/15, 1/5

(ii) Second rational number

= 4/15+1/5 = 7/15

Divide

7/15 by 2 ------> 7/15 x 1/2 = 7/30

Hope this helps!

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2 years ago
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f(2) means go to x = 2 and see that y = -2

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