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3 years ago

Identifying Equivalent Expressions

Mathematics

1 answer:

aivan3 [116]3 years ago

3 0

Answer:

Option c, d and e are equivalent expressions to 7x-14

Step-by-step explanation:

Which expressions are equivalent to 7x - 14

Equivalent Expressions:

The expressions that are the same, even if the expression looks different.

For example: 2x^2+4 is equivalent to 2(x^2+2) because solving 2(x^2+2) we get 2x^2+4

Now, finding equivalent to expressions 7x - 14

Option a) 14 - 7x

Not equivalent to 7x-14

Option b) x-2

Not equivalent to 7x-14

Option c) -(14 – 7x)

Simplifying: -14+7x so, equivalent to 7x-14

Option d) (x - 2)

Simplifying: 7x-14 so, equivalent to 7x-14

Option e) - 14 + 4x

Simplifying: 3x+4x-14 = 7x-14, so, equivalent to 7x-14

Option f) 2x - 10 + 5x + 4

Simplifying: 2x+5x-10+4 = 7x-6 so, Not equivalent to 7x-14

So, Option c, d and e are equivalent expressions to 7x-14

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To find the line that is perpendicular to y = 3x - 2 and passes through the ordered pair (6, 8), we will:

Find the negative reciprocal using the slope of the given function
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Let's remind ourselves of slope-intercept formula. Slope-intercept formula is y = mx + b, where m is the slope, and b is the y-intercept.

In the given equation, we know that 3 is slope. With that, we can find the negative reciprocal of that slope, and continue to step #2.

To find the reciprocal, we will need to flip our fraction. In this case, 3/1 = 3, so once we flip it, it is 1/3. Since it is the negative reciprocal, the fraction is a negative, so the negative reciprocal is -1/3.

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Step-by-step explanation:

Since we have given that

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