MATHEMATICS MIDDLE SCHOOL

Which products result in a difference of squares or a perfect square trinomial? Check all that apply. (5x + 3)(5x – 3) (7x + 4)(7x + 4) (2x + 1)(x + 2) (4x – 6)(x + 8) (x – 9)(x – 9) (–3x – 6)(–3x + 6)

Answers

Answer 1

Answer:

In this question, we have to find all the products which result in a difference of perfect squares .

The formula of the difference between squares is

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

In the first option, we have

$(5x+3)(5x-3)$

Which is of the form of difference of two squares. And similarly , the last option is also in the form of difference of two squares .

And for perfect squares, we have same factor twice in b and e, so for that b and e are the correct options .

So out of the given options, correct options are a,b,e and f .

Answer 2

Answer:

Answer:

ONE: A
TWO:B

FIVE: E
SIX: F

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What is 1111 x 1111 plz help asap
Find The area of The rectangle below \ 7 FT 6/10 FT

Explain how scaling a mixed number by 1/2 will affect the size of a number

Answers

If the mixed number is scaled by 1/2 then, the original number will be divided by 2. That being said, the number then becomes 50% of the original value. Hence, scaling the number by 1/2 will make the number only 50% of its original value.

What is the square root of -1?

Answers

ANSWER= square root(-1) = i

STEP-BY STEP EXPLANATION:

Imaginary number. An imaginary number is the square root of a negative real number. (The square root of a number is a second number that, when multiplied by itself, equals the first number.)

The perimeter of a rectangle is 30 inches. If it's length is three times it's width, find the dimensions. Show work if possible.Next, a volleyball coach plans her daily practices to include 10 minutes of stretching, 2/3 of the entire practice scrimmaging, and the remaining practice time working on drills. On Wednesday, the coach planned 100 minutes of stratching and scrimmaging. How long, in hours, is the entire practice? Show work if possible.

Homework due tommorrow......PLEASE HELP!!!!!

Answers

The rectangle problem:

First, create some variables.
w = width
l = length

Then you know that the length is 3 times the width, so
l = 3w

The equation for perimeter is
P = 2(l+w)

Now you use substitution, substituting the 3w for l because you found that earlier.

P = 2((3w) + w)

And simplify.
P = 2(4w)
P = 8w

And you know P = 30 because they told you that.
30 = 8w
w = 15/4 inches, or 3.75 inches

Now substitute that value back into that first equation,
l = 3w
l = 3(15/4)
l = 45/4 inches, or 11.25 inches.

The dimensions are 11.25in for length and 3.75in for width.

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The volleyball problem:

100 minutes of stretching and scrimmaging combined, and you know 10 have to be stretching, so 90 is scrimmaging.

s = scrimmaging
T = total time

s = 2/3T (they gave you this)
90 = 2/3T
T = (90*3)/2
T = 270/2
T = 135 minutes, or 2 hours and 15 minutes.

A: Miguel says that you can easily separate numbers divisible by 2 into two equal parts. Do you agree? Why or why not?B: Manny says that if Miguel is correct, then you can easily separate numbers divisible by 3 into three equal parts. Do you agree? Why or why not?

C: Lupe says that if any number is divisible by n, you can easily separate it into n equals parts. Do you agree with her? Explain.

Answers

Answer:

Step-by-step explanation:

A. Yes,Miguel is correct because all even numbers are the multiple of 2 and when we divide any even number resultant will be a whole number which represents the number of equal parts.

Example: 8 ÷ 2 = 4

B. Yes, Because all numbers which are multiple of 3, when divided by 3 resultant will be a whole number which represents the equal number of parts.

Example : 6 ÷ 3 = 2

C. Yes, Lupe is correct. When any number multiple of n is divided by n we get a whole number which represents the number of parts divided equally.

Example : 2n ÷ n = 2

A. Yes, the number 8 is divisible by 4. You can split it into two, 4 and 4.
B. Yes, the number 99 is divisible by 3, You can split it into three equal parts.
33,33, and 33.
C. Yes because it works like that for all of the numbers.
Hope this helps.

Each kit to build a castle contains 235 parts. How many parts are in 4 of the kits?

Answers

If one kit contains 235 parts, then all we need to do to find out how many are in 4 of those same kits is multiply the amount in one kit by the amount of kits there are.

235 * 4 = 940

There are 940 parts in 4 of the kits.
Hope that helped! =)

The answer to that is 940. Each part contains 235 parts and you need to know how many are in 4 kits, multiply 235 x 4 and you get the sum of 940.

If x = 9 and y = -2 what’s 10 + 5xy

Answers

Answer:

10 + 5xy = -80

Step-by-step explanation:

10 + 5xy = ?

x = 9 and y = -2

10 + 5xy = 10 + 5(9)(-2)

= 10 - 90

= -80

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