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3 years ago

What is the factor of 25a2+b2?

Mathematics

1 answer:

Neko [114]3 years ago

7 0

Answer:

(5a+b)⋅(5a−b)

Step-by-step explanation:

Changes made to your input should not affect the solution:

(1): "b2" was replaced by "b^2". 1 more similar replacement(s).

STEP

Equation at the end of step 1

52a2 - b2

STEP

Trying to factor as a Difference of Squares

2.1 Factoring: 25a2-b2

Theory : A difference of two perfect squares, A2 - B2 can be factored into (A+B) • (A-B)

Proof : (A+B) • (A-B) =

A2 - AB + BA - B2 =

A2 - AB + AB - B2 =

A2 - B2

Note : AB = BA is the commutative property of multiplication.

Note : - AB + AB equals zero and is therefore eliminated from the expression.

Check : 25 is the square of 5

Check : a2 is the square of a1

Check : b2 is the square of b1

Factorization is : (5a + b) • (5a - b)

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The line plot below displays the fraction of incoming calls answered before the second ring by a group of employees. What fracti

dexar [7]

Answer:

1/6

Step-by-step explanation:

People who answered less than 1/2 were: 2 + 1 + 3 = 6 people.

There are a total of 36 people.

People who answered their calls before the second ring were only 6/36.

When we simplify the fraction, we get 1/6.

So, the answer is 1/6

8 0

3 years ago

Find the infinite geometric sum of 80 + 10 +1.25 + ... to 5 decimal places past the decimal point.

SIZIF [17.4K]

first term.

a= 80

second term. a2=10

so Common ratio r=a2/a =10/80=1/8=0.125

checking for the validity of common ratio.

a2×r=10×1/8=10×0.125=1.25 =a3= Third term.

Hence it is true.

Now 4th Term =1.25/8=0.15625

It can be observed that 4TH term Has digit that is 5 places past the decimal point.

Hence, 0.15625 is the terminating number as per the question.

So the required sum is.

S=a+a2+a3+a4

->S=80+10+1.25+0.15625

->S= 91.40625

Hope it helps...

Regards,

Leukonov/Olegion.

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4 years ago

MULTIPLE CHOICE QUESTION PLEASE HELP

Sonja [21]

Answer: A

Step-by-step explanation:

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4 years ago

SOS MAYDAY!!! URGENT HELP REQUIRED THIS IS NOT A DRILL WEEEEEEEEEEEEEEEEEWOOOOOOOOOOOOO

timurjin [86]

The answer choice is B I just took

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4 years ago

The perimeter of a triangle is 65 meters. The second side is 5 meters less than the first side.The third side is 7 meters more t

Tju [1.3M]

Answer:

The length of each side of triangle is:

First side of triangle = 21 inches

Second side of triangle = 16 inches

Third side of triangle = 28 inches

Step-by-step explanation:

Perimeter of triangle = 65 meters

Let

First side of triangle = x

Second side of triangle = x-5 (The second side is 5 meters less than the first side.)

Third side of triangle = x+7 (The third side is 7 meters more than the first side.)

We need to find length of each side.

The formula used is:

$\mathbf{Perimeter\:of\:triangle=Sum\:of\:all\:sides\:of\:triangle}$

Putting values and finding value of x

$Perimeter\:of\:triangle=Sum\:of\:all\:sides\:of\:triangle\\65=x+x-5+x+7\\65=3x+2\\Switching\:sides\\3x+2=65\\Subtracting\:2\:from\:both\:sides\\3x+2-2=65-2\\3x=65-2\\3x=63\\Divide\:both\:sides\:by\:x\\\frac{3x}{3}=\frac{63}{3}\\x=21$

So, We get value of x = 21

Now, finding the length of each side of triangle:

First side of triangle = x = 21

Second side of triangle = x-5 =21-5 =16

Third side of triangle = x+7 = 21+ 7 = 28

The length of each side of triangle is:

First side of triangle = 21 inches

Second side of triangle = 16 inches

Third side of triangle = 28 inches

5 0

3 years ago