MATHEMATICS MIDDLE SCHOOL

Determine whether the polynomial is a difference of squares and if it is, factor it.y2 − 25
A. Is not a difference of squares
B. Is a difference of squares: (y − 5)2
C. Is a difference of squares: (y + 5)(y − 5)
D. Is a difference of squares: (y + 5)2

Answers

Answer 1

Answer:

Option: C is the correct answer.

C. Is a difference of squares: (y + 5)(y − 5).

Step-by-step explanation:

We are given a polynomial expression in terms of the variable y as follows:

$y^2-25$

Now this expression could also be written as:

$y^2-25=y^2-5^2$

This means that the expression is a difference of squares.

Also, we know that:

$a^2-b^2=(a+b)(a-b)$

Here,

$a=y\ and\ b=5$

Hence,

$y^2-25=(y+5)(y-5)$

Answer 2

Answer: the answer is C
y² - 25
= y² - 5²
= (y + 5)(y - 5) which is a difference of two squares

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Solve the equation log.(13-x)= 1.

Answers

The solution is, the value of x is, x = 12.

What is simplification?

Simplify simply means to make it simple. In mathematics, simply or simplification is reducing the expression/fraction/problem in a simpler form. It makes the problem easy with calculations and solving.

here, we have,

given that,

the equation is,

13 - x = 1

isolating the like terms, that is taking the variable x in LHS and, taking the numbers in the RHS.

-x = 1 - 13

-x = -12

we get, negative symbol on both side,

so, we now,

remove minus from both of the sides.

x = 12

Hence, The solution is, the value of x is, x = 12.

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Answer:

13 - x = 1

-x = 1 - 13

-x = -12

remove minus from both of the sides.

x = 12

Step-by-step explanation:

Find the measurement of the third angle of a triangle with two angles measuring 30° and 70°.

Answers

The third angle is 80 degrees

Explain how you would find 36 x 3/4 mentally

Answers

Ok so first what you need to do is think about the question because this is a very simple question to understand and as they say nothing in this world is easy so you have to think about it and once you think about it and understand what they are asking you then you could solve and its very simple. 1st you have to follow order of operations which PEMDAS and I think you should be familiar using this strategy because I am very accoustomed to it and you should be as well, anyway, first do multiplication because in PEMDAS the m comes before the d which stands for division. So do 36x3 which is 108 and now we could do the final step which is to divide our product, 108, by 4 and the quotient shall be 27 as our final answer. So hope this helped you out and if it did than awesome and thank you for the question by the way so keep on asking questions!!

Calculating 36 x 3/4 gives you the result of 27.

To find 36 multiplied by 3/4 mentally, you can follow these steps:

1. Simplify the fraction: 3/4 can be simplified by dividing both the numerator and the denominator by their greatest common divisor, which is 1 in this case.

This simplification leaves us with 3/4 as the fraction.

2. Convert the whole number to a fraction:

Since 36 is a whole number, we can rewrite it as a fraction with a denominator of 1. So, 36 can be expressed as 36/1.

3. Multiply the numerators: Multiply the numerators of the fractions together: 36 x 3 = 108.

4. Multiply the denominators: Multiply the denominators of the fractions together: 1 x 4 = 4.

5. Write the result as a fraction: Take the product of the numerators and write it over the product of the denominators: 108/4.

6. Simplify the fraction if possible: Divide both the numerator and the denominator of the fraction by their greatest common divisor, which is 4 in this case. Simplifying the fraction gives us 27/1 or simply 27.

Therefore, mentally calculating 36 x 3/4 gives you the result of 27.

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10 of 12 balloons at James party are filled with helium. In the simplest form, what fraction of the balloons are filled with helium

Answers

u divide by 2 so it is 5/6

5/6 you have to divide the top number and the bottom number by a number that goes into both

Find 15.75 ÷ 0.25 using a giant one

Answers

0.25 divided by 15.75 is
equivalent to 25 divided by 1575,
0.25/15.75 = 25/1575 =0.015
calculating 3 decimal places.

you run 1 3/4 mile each day your friend runs 4 times as far as you do how far does your friend run each day

Answers

Answer:

7 miles your friend run each day.

Step-by-step explanation:

As per the statement:

You run $1(3)/(4)$ mile each day.

⇒ you run each day = $(7)/(4)$ miles.

It is also given that; Your friend runs 4 times as far as you do.

"4 times as far as you do" means $4 * (7)/(4) = 7$ miles

⇒ Your friend runs each day = 7 miles.

therefore, 7 miles your friend run each day

You have to multiply 1 3/4 and 4 so you can't multiply an mixed fraction with an improper fraction so 1 3/4 becomes 7/4 and now you get 28/16 and simplified it would be1 3/4

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