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zloy xaker [14]
4 years ago
10

One number is 2 more than another. The difference between their squares is 32. What are the numbers

Mathematics
1 answer:
Oksana_A [137]4 years ago
8 0
Let x represent one number. Then the other number is x + 2. Calculation: (x + 2)2 - x2 = 32 x2 + 4x + 4 - x2 = 32 Combine terms: 4x = 28 x = 7 One number is 7. The other number is, 7 + 2, or 9. Questions?
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I need help with math!!! time is running out!!! will mark brainliest!!!
user100 [1]
(8/a+4)+(10/b-6)

so common denominator is (a+4)(b-6)

=(8/a+4) *(b-6/b-6)+(10/b-6)*(a+4/a+4)

= 8(b-6) / (a+4)(b-6) + 10(a+4)/(a+4)(b-6)


3 0
4 years ago
The area A, in square meters, of a rectangle with a perimeter of 160 meters is given by the equation A = 80w − w2, where w is th
Sonja [21]

Answer:

the width is 10 m

Step-by-step explanation:

if the relationship between area and width is

A = 80*w − w²

for an area A=700 m² , we have

700 m² = 80*w − w²

w² - 80*w + 700 m² = 0

aw² + b*w + c = 0

where a=1 , b=-80 and c=700

this quadratic equation has as solution the following formula

w = [-b ± √ ( b² - 4*a*c) ]/(2*a)

replacing values

w = [80 ± √ ( 80² - 4*1*700) ]/(2*1) = (80 ± 60)/2

then

w₁=(80 - 60)/2 = 10 m

w₂ =(80 + 60)/2 = 70 m

since the area has the form A= length * width = 80*w − w² = (80− w)*w

then the length of the rectangle is

length = 80− w

for w₁=10 m → length = 80− 10 = 70 m

for w₁=70 m → length = 80− 70 = 10 m

by definition the shorter side is the width ( and the longer one , the length) , therefore the only possible option is the first one .

Thus the width is 10 m

7 0
3 years ago
How many 2 digit numbers do not use the numeral 5?
hram777 [196]
Alot! So the ones with 5 like 15,25,35,45,55,65,75,85,95! Each one inbetween is 10 so it would be 80
6 0
4 years ago
If:<br> AC=26,<br> BC=7x + 2, and<br> AB = 9x + 8<br> Find BC!
Bond [772]

Answer:

BC = 9

Step-by-step explanation:

Given AC = 26

BC=7x + 2

AB = 9x + 8  

Since BC and AB are two parts of AC. Therefore we can write in the following form.

AC = AB +BC

Now insert the given values in the above formula.

26 = 9x + 8 + 7x + 2

26 = 16x + 10

26 – 10 = 16x

16 = 16x

x = 16 / 16  

x = 1

Now insert x = 1 in BC=7x + 2

BC = 7 (1) + 2

BC = 9

7 0
3 years ago
There are 680 raisins in 8 bags. If each bag has the same number of raisins, how many raisins are in 12 bags?
Natali [406]
Well there aint no whole number for this thee are 85 in each bag, so what is 680 divide 12 that is 56.6 like i said not a whole number so round to nearest.
6 0
3 years ago
Read 2 more answers
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