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Vera_Pavlovna [14]
3 years ago
11

Can someone help me on #5

Mathematics
1 answer:
Alla [95]3 years ago
3 0
If you find your common factors it would be 14m + 2m
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Find two positive consecutive odd integers such that square of the smaller integer is 10 more than the larger integer
Otrada [13]

Let 2n+1 be the smaller integer. The larger integer is then 2n+3, and we have

(2n+1)^2=10+(2n+3)\implies4n^2+4n+1=2n+13

\implies4n^2+2n-12=0

\implies2n^2+n-6=0

\implies(2n-3)(n+2)=0

\implies 2n-3=0\text{ or }n+2=0

\implies n=\dfrac32\text{ or }n=-2

We omit n=-2, since 2(-2)+1=-3 is negative.

Then for n=\dfrac32 we find 2\left(\dfrac32\right)+1=4, but this is not odd.

There are no consecutive odd integers that satisfy the given condition!

3 0
3 years ago
What’s the answer to 2(4+9w)
maks197457 [2]

Answer:

8+18W

Step-by-step explanation:

distribute the 2 into the parentheses. 2×4 is 8 and 2×8 is 18.

3 0
4 years ago
(6+2) +5 = 6+ (2+5)<br> State the property described each problem
Tanzania [10]

Answer:

Associative property - addition

Step-by-step explanation:

When three or more numbers are added, the sum is the same regardless of the way in  which the numbers are grouped.

(6+2) + 5 = 6 + (2+5)

8 + 5 = 6 + 7

13 = 13

7 0
4 years ago
Find the value of x<br> 6x + 12<br> 3x - 3
Shalnov [3]

Answer:

19°

Step-by-step explanation:

<u>Concept</u><u> </u><u>Used </u><u>:</u><u>-</u>

  • The measure of a straight line is 180°. So the sum of angles on a straight line is 180° .

Using this ,

\bf\implies 6x + 12 + 3x - 3 = 180\\\\\bf\implies 9x + 9 = 180\\\\\bf\implies 9x = 180-9 \\\\\bf\implies x =\dfrac{171}{9}  \\\\\bf\implies\boxed{\red{\bf x = 19 }}

<h3>Hence the value of x is 19°</h3>
3 0
3 years ago
The width of a rectangle is 1 foot less than the length. the area is 2ft squared what is the width
SVEN [57.7K]
 the answer is 1 ft is the width
5 0
4 years ago
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