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3 years ago

What is the greatest common factor of 49x^2-21

Mathematics

2 answers:

PSYCHO15rus [73]3 years ago

8 0

Answer:

7 your welcome

Step-by-step explanation:

telo118 [61]3 years ago

8 0

Answer:

Step-by-step explanation:

First find the common factors of the numbers: 49, 21.

That would be 1 and 7.

The GCF is 7 b/c it is greater than 1.

Find the common factors of x and x^2.

That is x times x

The factor for x ^1 is x itself.

The common factor for the both of them is x.

The GCF is then x.

The multiply the both of the GCFs (x.7) and you now have 7x.

So the GCF is 7x.

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3 years ago

What is the solution to the system of equations?

Dovator [93]

Answer:

Step-by-step explanation:

$\left\{\begin{array}{ccc}x+3y+2z=8&(1)\\3x+y+3z=-10&(2)\\-2x-2y-z=10&(3)\end{array}\right\qquad\text{subtract both sides of the equations (1) from (2)}\\\\\underline{-\left\{\begin{array}{ccc}3x+y+3z=-10\\x+3y+2z=8\end{array}\right }\\.\qquad2x-2y+z=-18\qquad(4)\qquad\text{add both sides of the equations (3) and (4)}\\\\\underline{+\left\{\begin{array}{ccc}-2x-2y-z=10\\2x-2y+z=-18\end{array}\right}\\.\qquad-4y=-8\qquad\text{divide both sides by (-4)}\\.\qquad\qquad y=2\qquad\text{put the value of y to (1) and (3)}$

$\left\{\begin{array}{ccc}x+3(2)+2z=8\\-2x-2(2)-z=10\end{array}\right\\\left\{\begin{array}{ccc}x+6+2z=8&\text{subtract 6 from both sides}\\-2x-4-z=10&\text{add 4 to both sides}\end{array}\right\\\left\{\begin{array}{ccc}x+2z=2&\text{multiply both sides by 2}\\-2x-z=14\end{array}\right\\\underline{+\left\{\begin{array}{ccc}2x+4z=4\\-2x-z=14\end{array}\right}\qquad\text{add both sides of the equations}\\.\qquad\qquad3z=18\qquad\text{divide both sides by 3}\\.\qquad\qquad z=6\qquad\text{put the value of z to the first equation}$

$x+2(6)=2\\x+12=2\qquad\text{subtract 10 from both sides}\\x=-10$

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3 years ago

There are 60 people waiting for a river raft ride. Each raft holds

andrey2020 [161]

If there are 60 people waiting for a river raft ride. Each raft holds

15 people. how Silvia's work can be used to find the number

of rafts needed is: total number of people/Number of people holded by each raft.

<h3>Number of rafts needed</h3>

Using this formula

There are 136 people waiting for a river raft ride each raft holds 8 people.

Number of rafts needed=Number of people/Capacity of raft

Where:

Number of people = 60

Capacity of raft = 15 people

Let plug in the formula

Number of rafts needed=60/15

Number of rafts needed=4 rafts needed

Therefore if raft holds 15 people. how Silvia's work can be used to find the number of rafts needed is: total number of people/<em>Number </em>of people holded by each raft.

Learn more about Number of rafts needed here:brainly.com/question/8361379
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1 year ago

What is the area of a circle that has a 5-inch diameter use 3.14 for pi?

Karo-lina-s [1.5K]

The area would be 19.625- inches

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3 years ago

The length of the hypotenuse of the right triangle is 25 cm, the length of one of the legs is 10 cm. What is the length of the s

Anna007 [38]

Answer:

21 cm

Step-by-step explanation:

Call the triangle ABC, with the right angle at B, the hypotenuse AC=25, and the given leg AB=10. The altitude to the hypotenuse can be BD. Since the "other leg" is BC, we believe the question is asking for the length of DC.

The right triangles formed by the altitude are all similar to the original. That means ...

AD/AB = AB/AC . . . . . . ratio of short side to hypotenuse is a constant

Multiplying by AB and substituting the given numbers, we get ...

AD = AB²/AC = 10²/25

AD = 4

Then the segment DC is ...

DC = AC -AD = 25 -4

DC = 21 . . . . . centimeters

6 0

3 years ago