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Vinvika [58]
3 years ago
9

Given a≠±b and a^2−b^2 / a+b =12, find a−b.

Mathematics
1 answer:
Olegator [25]3 years ago
3 0

Answer:

a-b=12

Step-by-step explanation:

(a²-b²)/(a+b) = 12

(a-b)(a+b)/(a+b)=12

a-b=12

You might be interested in
Two sides of a triangle are two consecutive number, whose area is 17.5cm². Find the numbers
AveGali [126]

Answer:

The numbers associated with the triangle are 5.437 and 6.437 centimeters, respectively.

Step-by-step explanation:

Two numbers are consecutives, when their difference is equal to 1. The area of the triangle is determined by the following formula:

A = \frac{1}{2}\cdot n \cdot (n+1)

A = \frac{1}{2}\cdot (n^{2}+n)

A = \frac{n^{2}}{2}+\frac{n}{2}

n^{2}+n = 2\cdot A

Where n is the shortest length of the triangle, measured in centimeters.

And we get the following second-order polynomial:

n^{2}+n -2\cdot A = 0 (1)

If we know that A = 17.5\,cm^{2}, then the shortest length of the triangle is:

n_{1} = 5.437\,cm and n_{2} \approx -6.437\,cm

Since length is a positive variable, the only possible solution is:

n\approx  5.437\,cm

Then, the numbers associated with the triangle are 5.437 and 6.437 centimeters, respectively.

6 0
3 years ago
What is the sum of the measures of the interior angles of a regular polygon if leach exterior angle measures 120°?
GREYUIT [131]

Answer:

180

Step-by-step explanation:

180-120 = 60 this is one of all the congruent angles

of the top of my head i know a regular triangle has three 60 degree angles meaning it is 60*3 = 180

5 0
3 years ago
Need help on this question
Sedaia [141]

Answer:

A

Step-by-step explanation:

Hey There!

So these triangles are congruent so segment CD is equal to segment DB

so to find x we use the equation

7x+10=10x+7

now we solve for x

step 1 subtract each side by 7

10-7=3

7-7 cancels out

now we have 7x+3=10x

step 2 subtract each side by 7 x

10x-7x=3x

7x-7x= cancels out

now we have

3x=3

step 3 divide each side by 3

3/3=1

3/3 cancels out

now we have

x=1

3 0
3 years ago
Read 2 more answers
Mario invests £2000 for 3 years at 5% per annum compound interest. Calculate the value of the investment at the end of 3 years.
Delicious77 [7]

Answer:

$2315.25

Step-by-step explanation:

Given data

Principal=  £2000

Time= 3 years

Rate= 5%

The compound interest expression is

A= P(1+r)^t

substitute

A= 2000(1+0.05)^3

A= 2000(1.05)^3

A= 2000*1.157625

A= 2315.25

Hence the Amount is $2315.25

7 0
3 years ago
Rewrite the fractions 3/4 and 5/16 as fractions with a least common denominator.
nata0808 [166]

Answer:

12/16 and 5/16

Step-by-step explanation:

We are given two fractions with denominator 4 and 16.

To find the least common denominator, of 4 and 16.

Factorise 4 and 16.

4 = 2x2  

16 = 2x2x2x2

i.e. 4 divides 16.

Hence  Least common denominator = bigger number = 16

Make the given fractions to equivalent fractions with common denominator 16.

3/4 = 4(3)/4(4) = 12/16 and

5/16 = 1(5)/16(1)= 5/16

Hence answer would be

12/16 and 5/16


6 0
3 years ago
Read 2 more answers
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