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Sergio [31]
3 years ago
9

Factor the following polynomial. 6x 2 + 14x

Mathematics
1 answer:
Ostrovityanka [42]3 years ago
5 0

Answer:

2x(3x+7)

Step-by-step explanation:

factor 2x out of 6x^2+14x

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The sides of the rectangle are in the ratio of 4:7. If its length is 31.5 in., find the width, the perimeter, and the area of th
AveGali [126]
Let \ell the length and w the width. By the ratio of the sides:

\dfrac{w}{\ell}=\dfrac{4}{7}\Longrightarrow \dfrac{w}{31.5}=\dfrac{4}{7}\Longrightarrow w=\dfrac{4\cdot31.5}{7}\Longrightarrow \boxed{w=18~in.}

Now, we'll find the perimeter p. We'll use the formula below:

p=2(\ell+w)\\\\
p=2(31.5+18)\\\\
p=2\cdot49.5\\\\
\boxed{p=99~in.}

The area of a rectangle is S=w\cdot\ell. Then:

S=w\cdot\ell\\\\
S=18\cdot31.5\\\\
\boxed{S=567~in.^2}
8 0
3 years ago
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Circumference of a circle
DIA [1.3K]

Answer:

62.8ft

Step-by-step explanation:

The formula to get the circumference is π × D (π × diameter) You need to multiply the value of π (3.14) by the diameter of this circle (20).

20×3.14= 62.8ft

8 0
2 years ago
ANSWER TO BE NAMED BRAINLIEST, GET A THANK YOU , BE FRIEND REQUESTED ,
Dominik [7]

1500 i did the test

4 0
3 years ago
Which theorem or postulate proves the two triangles are similar?
Andre45 [30]

Answer:

The corresponding pair of sides are in the same ratio.

Step-by-step explanation:

For two triangles to be similar, the theorem that is required is the corresponding sides of the two triangles are in the same ratio.

Now, see the diagram of two triangles given with the question.

The ratios of the corresponding sides are \frac{20}{16} = \frac{19}{\frac{76}{5} } = \frac{5}{4}

If two pairs corresponding sides are in 5 : 4 ratio, then the third pair of corresponding sides will also be in 5 : 4 ratio.

Therefore, the two triangles are similar. (Answer)

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3 years ago
Write the equation of a line with a slope of 5 that passes through the point (3,1)
Vedmedyk [2.9K]

Answer:

y-1=5(x-3)

Step-by-step explanation:

y-y1=m(x-x1)

m=5

y-1=5(x-3)

5 0
3 years ago
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