Simplify 7m - 11n - n + 5m.

Mathematics

1 answer:

goblinko [34]2 years ago

5 0

Answer:

The simplified form of the given expression is 12(m -n).

Step-by-step explanation:

The given expression is

$7m - 11n - n + 5m$

We need to simplify the given expression.

Rearrange the terms according to the variables.

$7m+5m - 11n - n$

On combining like terms, we get

$(7m+5m)+( - 11n - n)$

On simplification, we get

$(12m)+( -12n)$

$12m -12n$

Taking GCF common.

$12(m -n)$

Therefore the simplified form of the given expression is 12(m -n).

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Katyanochek1 [597]

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2 years ago

The points (7,r) and (8,9) fall on a line with a slope of 5. What is the value of r?

mrs_skeptik [129]

Answer:

r = 4

Step-by-step explanation:

Calculate the slope m using the slope formula and equate to 5

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (7, r ) and (x₂, y₂ ) = (8, 9)

m = $\frac{9-r}{8-7}$ = $\frac{9-r}{1}$ = 9 - r = 5 ( subtract 9 from both sides )