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Cerrena [4.2K]
3 years ago
11

3. The difference of the squares of two positive consecutive odd integers is 32. Find the

Mathematics
1 answer:
abruzzese [7]3 years ago
4 0

Answer:

7,9

Step-by-step explanation:

Let two consecutive odd integer=X and (X+1)

The difference of the squares of two positive consecutive odd integers is 32.

So(X+2)^2-x^2=32

(x^2+4+4x)-x^2=32

x^2+4+4x-x^2=32

4x=32-4

4x=28

X=28/4

X=7

So first integer=7

Second integer=7+2

=9.

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3 years ago
Really need help on my correction if anyone know please help!!
Olin [163]
Answers: 
<u>Question 19:</u> 177 bpm
<u>Question 20:</u> 95˚F

Explanations:
<u>Question 19:</u>
You had the formula set up properly like this:
R =  \frac{885 \sqrt{25} }{25}  =  \frac{885(5)}{25}  =  \frac{4425}{25} 
This is where you went wrong - I don't know exactly what you did, but your division of 4425 ÷ 25 is wrong. You should have ended up with 177 which is the correct answer. 
<u>Question 20:</u>
You had the formula set up correctly again, and merely used the wrong sign when adding 32. 
F =  \frac{9(35)}{5} + 32 =  \frac{315}{5} + 32
This is where you went wrong. You subtracted 32 from 63 when you should have added it. (See red circle on your subtraction.)
63 + 32 = 95˚F
7 0
3 years ago
2) Brian purchased pens for 75 cents each and pencils for 40 cents each he
svet-max [94.6K]

Step-by-step explanation:

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Best definition combining like terms
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<span>A letter that holds the place for some unknown value in mathematics VARIABLE A process where you must look for terms that have identical variable parts and then combine their coefficients. COMBINING LIKE TERMS</span>
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3 years ago
A rectangle has a length that is twice the meaure of its width. Perimeter is 54. What is the area
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L = 2W
P = 2L + 2W
Plug 2W in for L.
54 = 2(2W) + 2W
54 = 4W + 2W
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Divide both sides by 6
W = 9
L = 2* 9
L = 18
A = L * W
A = 9 * 18
A = 162 units^2
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3 years ago
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