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Fittoniya [83]
2 years ago
13

Suppose that E and F are points on the number line.

Mathematics
1 answer:
Fittoniya [83]2 years ago
3 0

Point E can be located on two locations on a number line at -20 or 8.

<h3>How to Locate a Point on a Number Line?</h3>

We are given that, E and F are on a number line, where:

EF = 14

F is at -6

This implies that the distance between point E and point F on a number line is 14 units apart. Therefore, the location of F can be either ways:

14 units from point E to -6, F, which is -20. That is, |-20 -(-6)| = 14 units.

Or 14 units from point F, -6, to point E, which is 8. That is |-6 - 8| =  14 units.

Therefore, point E can be located on two locations on a number line at -20 or 8.

Learn more about number line on:

brainly.com/question/24644930

#SPJ1

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Cross multiply:

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Expand out terms of the left hand side:

7 x^2 + 28 x + 7 = 10 x^2

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x^2 - (28 x)/3 - 7/3 = 0

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x^2 - (28 x)/3 = 7/3

Add 196/9 to both sides:

x^2 - (28 x)/3 + 196/9 = 217/9

Write the left hand side as a square:

(x - 14/3)^2 = 217/9

Take the square root of both sides:

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Answer:  x = 14/3 + sqrt(217)/3 or x = 14/3 - sqrt(217)/3

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