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Nina [5.8K]
3 years ago
5

What is an equation of the line that is parallel to y=2x−10 and that passes through the point (−2,11) ?

Mathematics
2 answers:
STatiana [176]3 years ago
6 0

y=2x+b

Solve for b.

Plug in coordinates.

11=2(-2)+b

Simplify.

11=-4+b

+4 on both sides.

15=b

b=15

The answer is y=2x+15.

ladessa [460]3 years ago
4 0

If its parallel to y=2x-10, which has a slope of 2, the slope of the new line is 2 (the same slope).

use point slope form:

y - y1 = M (x - x1) where M is slope

y - 11 = 2( x -(-2))

y - 11 = 2( x + 2)

y - 11 = 2( x + 2)

y -11 = 2x + 4

y = 2x +4 +11

y = 2x + 14 has a parallel slope and goes through (-2, 11)

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A and D , that is, 5∛2x and -3∛2x are sets of the radical expressions listed that could be considered like terms. This can be obtained by understanding what like radicals are.

<h3>Which sets of the radical expressions listed could be considered like terms as written?</h3>
  • Radical expression: Radical expression is an equation that has a variable in a radicand (expression under the root) or has a variable with a rational exponent.

For example, √128, √16

  • Like radicals: Radicals that have the same root number and radicand (expression under the root)

For example, 2√x and 5√x are like terms.

Here in the question radical expressions are given,

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  • 5√2x
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By definition of like radicals we get that 5∛2x and -3∛2x are like terms since root number and radicand are same, that is, root number is 3 and radicand is 2x.

Hence A and D , that is, 5∛2x and -3∛2x are sets of the radical expressions listed that could be considered like terms.

Learn more about radicals here:

brainly.com/question/16181471  

#SPJ9

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