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4 years ago

Here are 3 and 4 the only ones left!!

Mathematics

1 answer:

uranmaximum [27]4 years ago

4 0

Answer:

the five is not is left in the diagram

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Which polynomial can be simplified to a difference of squares

Mrrafil [7]

<h2>Hello!</h2>

The answer is:

The polynomial that can be simplified to a difference of squares is the second polynomial:

$16a^{2}-4a+4a-1=16a^{2}=(4a)^{2}-(1)^{2}=(4-1)(4+1)$

To solve this problem, we need to look for which of the given quadratic terms given for the different polynomials can be a result of squaring (elevating by two).

So,

Discarding, we have:

The quadratic terms of the given polynomials are:

$First=10a^{2}$

$Second=16a^{2}$

$Third=25a^{2}$

$Fourth=24a^{2}$

We have that the coefficients of the quadratic terms that can be obtained by squaring are:

$16a^{2} =(4a)^{2} \\\\25a^{2} =(5a)^{2}$

The other two coefficients are not perfect squares since they can not be obtained by square rooting whole numbers.

So, the first and the fourth polynomial are discarded and cannot be simplified to a difference of squares at least using whole numbers.

Therefore, we need to work with the second and the third polynomial.

For the second polynomial, we have:

$16a^{2} -4a+4a-1=16a^{2}=(4a)^{2}-(1)^{2} =(4-1)(4+1)$

So, the second polynomial can be simplified to a difference of squares.

For the third polynomial, we have:

$25a^{2} +6a-6a+36=16a^{2}+36=(5a)^{2}+(6)^{2}$

So, the third polynomial cannot be simplified to a difference of squares since it's a sum of squares.

Hence, the polynomial that can be simplified to a difference of squares is the second polynomial:

$16a^{2}-4a+4a-1=16a^{2}=(4a)^{2}-(1)^{2}$

7 0

3 years ago

Read 2 more answers

Describe the expression using an appropriate term or phrase.

Lena [83]

Answer:

2. the sum of 2 terms

Step-by-step explanation:

It is the sum of 2 terms because in this expression you are simply just adding.

3 0

3 years ago

A is inversely proportional to b. If a=7.2 when b=-4, what will a equal when b=6?

Tpy6a [65]

Answer:

Step-by-step explanation:

To find the value of a when b=6 we must first find the relationship between them.

The statement

a is inversely proportional to b is written as

$a \: \: \alpha \: \: \frac{k}{b}$

where k is the constant of proportionality

When a = 7.2 , b = -4

So we have

$7.2= \frac{k}{ - 4}$

k = 7.2 × - 4

k = - 28.8

So the formula for the variation is

$a = - \frac{28.8}{b}$

When

b = 6

That's

$a = - \frac{28.8}{6}$

We have the final answer as

Hope this helps you

7 0

4 years ago

Tanyss's house has 25 windows. Her brother has washed 22 of the windows. What percent of the windows has her brother washed?

AveGali [126]

Answer:

Step-by-step explanation:

7 0

3 years ago

if a car averages 22 miles per gallon how many gallons of gas are needed to drive the car for 6 hours at the rate of 55 miles pe

m_a_m_a [10]

Answer:

15 gallons PLEASE GIVE BRAINLIEST

Step-by-step explanation:

55 x 6 = 330 total miles

330 ÷ 22 = 15 gallons of gas are needed

6 0

4 years ago