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3 years ago

What is the greatest common factor (GCF) of the numerator and denominator

Mathematics

2 answers:

kobusy [5.1K]3 years ago

6 0

Answer:

x + 6.

Step-by-step explanation:

2x + 12

= 2(x + 6)

x^2 + 7x + 6

= (x + 6)(x + 1)

(x + 6) is common to both factors so that is the answer.

pav-90 [236]3 years ago

5 0

Answer:

C. x + 6

Step-by-step explanation:

Start by factoring completely the numerator and the denominator.

2x + 12 = 2(x + 6)

x^2 + 7x + 6 = (x + 1)(x + 6)

The only common factor is x + 6, so the GCF is x + 6

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Paul and Charlene are 420 miles apart. They start toward each other with Paul driving 16 mph faster than Charlene. They meet in

Thepotemich [5.8K]

Answer:

34 mph.

Step-by-step explanation:

Let x be speed of Charlene, then speed of Paul will be x+16 as we are given that Paul is driving 16 mph faster than Charlene.

Let y be distance covered by Charlene, then distance covered by Paul will be 420-y.

Now we will use formula $\text{Speed}=\frac{\text{Distance}}{\text{Time}}$ . Upon using our given information we will get two equation and two unknowns as:

$x+16=\frac{420-y}{5}...(1)$

$x=\frac{y}{5}...(2)$

Upon substituting $x=\frac{y}{5}$ in 1st equation we will get,

$\frac{y}{5}+16=\frac{420-y}{5}$

Upon multiplying both sides of our equation by 5 we will get,

$5(\frac{y}{5}+16)=420-y$

$5\times\frac{y}{5}+5\times 16=420-y$

$y+80=420-y$

$y+80+y=420-y+y$

$2y+80=420$

$2y=420-80$

$2y=340$

$y=\frac{340}{2}$

$y=170$

Upon substituting y=170 in 2nd equation we will get,

$x=\frac{170}{5}$

$x=34$

Therefore, Charlene's speed is 34 miles per hour.

6 0

3 years ago

How to write 8.517 in word form

inysia [295]

<span>Answer:

8.517 in word form is eight and five hundred seventeen thousandths or eight</span>

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3 years ago

Larissa is writing a coordinate proof to show that the diagonals of a square are perpendicular to each other. She starts by assi

Llana [10]

The slope of KH is 1

The slope of GJ is -1

The product of the slopes of the diagonals is -1

Therefore, KH is perpendicular to GJ

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4 years ago

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Ksenya-84 [330]

I believe the answer is A

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3 years ago