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sesenic [268]
3 years ago
6

Factor the expression using the GCF. The expression 21m−49n factored using the GCF is...

Mathematics
2 answers:
Roman55 [17]3 years ago
6 0

Answer:  7(3m - 7n)

<u>Step-by-step explanation:</u>

Factor each term then see what value(s) they have in common:

          21m         -          49n

            ∧                        ∧

          3 · 7 · m              7 · 7 · n

Both terms have a 7 in common.  What is left over after removing the 7?

21m: 7(3m)

49n: 7(7n)

GCF: 7           Leftovers: 3m <em>and</em>  7n

Factored form of expression is: 7(3m - 7n)

a_sh-v [17]3 years ago
3 0
As 7 is a factor of both 21 and 49, you can take out 7 from both numbers.

7(3m-7n)
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5 to the power of 1,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000.
UNO [17]

Answer:

60000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

Step-by-step explanation:

5 0
2 years ago
Find the area of the following figure: 12yd 8yd 4yd
dalvyx [7]
Area of rectangle + Area of semi circle
12 * 4 + (22/7 * 4^2)/2
48 + 25.14
73.14 yard square
4 0
2 years ago
Hue is arranging chairs. She can form 2 rows of a given length with 2 chairs left over, or 6 rows of that same length if she get
Nady [450]
There are 7 chairs in each row length.
Step-by-step explanation:
Let number of chairs in 1 row be 'x'.
Let total number of chairs be 'y'.
Given:
Hue can form 6 rows of a given length with 3 chairs left over.
It means that Total number of chairs is equal to chairs in 1 rows multiplied by number of rows which is 6 plus number of chairs which is left which is 3.
Framing in equation form we get.

Also Given:
Hue can form 8 rows of that same length if she gets 11 more chairs.
It means that Total number of chairs is equal to chairs in 1 rows multiplied by number of rows which is 8 minus number of chairs which is required more which is 11.
Framing in equation form we get.

From equation 1 and equation 2 we can say that L.H.S is same.
So according to law of transitivity we get;

Combining like terms we get;

Using Subtraction and Addition property we get;

Now Using Division Property we will divide both side by 2.

Hence there are 7 chairs in each row length.
8 0
3 years ago
Hi can you please help me​
astra-53 [7]

Answer:

<h2>Area = 90 cm²</h2><h2>Perimeter = 53 cm</h2>

Step-by-step explanation:

area and perimeter of the given diagram

<u>area = 1/2 * base * height</u>

where base = 15 cm

        height = 12 cm

plugin values into the formula

area = 1/2 * 15 * 12

area = 90 cm²

<u>Perimeter = add up all sides (AB + AC + BC)</u>

where side BC = √(5² + 12²)

                   BC = 13 cm

Perimeter = 25cm + 15 cm + 13 cm

Perimeter = 53 cm

6 0
2 years ago
Solve and graph the absolute value inequality: |2x + 4| &gt; 14.
Aloiza [94]

Answer:

"number line with open circles on negative 9 and 5, shading going in the opposite directions."

Step-by-step explanation:

Your inequality doesn't include an equal sign so there will be no closed holes. It will only be open holes.

|u|>14 means that the number u has to be greater than 14 or less than -14.  These numbers I describe just now all have a distance greater than 14 from 0.

So |u|>14 implies u>14 or u<-14.

But we are solving |2x+4|>14 so this implies we have 2x+4>14 or 2x+4<-14.

2x+4>14

Subtract 4 on both sides:

2x    >10

Divide both sides by 2:

x      >5

2x+4<-14

Subtract 4 on both sides:

2x    <-18

Divide both sides by 2:

x      <-9

So our solution is x>5 or x<-9.

Graphing!

~~~~~~~O                                         O~~~~~~~~

-----------(-9)---------------------------------(5)---------------

So we shaded to the right of 5 because our inequality says x is bigger than 5.

We shaded to the left of -9 because our inequality says x is less than -9.

4 0
3 years ago
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