MATHEMATICS MIDDLE SCHOOL

55. If 3x = 4y, the value of (x + y)^2 : (x - y)^2 is:
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Answers

Answer 1
Answer:

Answer:

\large\boxed{(x+y)^2:(x-y)^2=49}

Step-by-step explanation:

3x=4y\qquad\text{subtract}\ 3y\ \text{from both sides}\n\n3x-3y=y\qquad\text{distributive}\n\n3(x-y)=y\qquad\text{divide both sides by 3}\n\nx-y=(y)/(3)\qquad(*)\n------------------\n3x=4y\qquad\text{add}\ 3y\ \text{to both sides}\n\n3x+3y=7y\qquad\text{distributive}\n\n3(x+y)=7y\qquad\text{divide both sides by 3}\n\nx+y=(7y)/(3)\qquad(**)\n------------------

(x+y)^2:(x-y)^2=((x+y)^2)/((x-y)^2)\qquad\text{use}\ \left((a)/(b)\right)^n=(a^n)/(b^n)\n\n=\left((x+y)/(x-y)\right)^2\qquad\text{substitute}\ (*)\ \text{and}\ (**)\n\n=\left(((7y)/(3))/((y)/(3))\right)^2=\left((7y)/(3)\cdot(3)/(y)\right)^2\qquad\text{cancel}\ 3\ \text{and}\ y\n\n=(7)^2=49

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Answers

polynomial that represents a difference in cubes.

x³ - 64 = 0
x³ = 64
∛x³ = ∛64
x = 4

Correct Steps for factoring the polynomial 5x³ - 40
5(x³ - 8)
5((x)³ - (2)³)
5(x - 2)(x² + 2x + 4)

To check:
5(x - 2)(x² + 2x + 4)
(5x - 10) (x² + 2x + 4)
5x(x² + 2x + 4) - 10(x² + 2x + 4)
5x³ + 10x² + 20x - 10x² - 20x - 40
5x³ + 10x² - 10x² + 20x - 20x - 40
5x³ - 40
Difference of cubes: a³ - b³

A) x³ - 64 = x³ - 4³

In B, 4 is not a cube number.

In C, this is the sum of a cubes. 8x³ + 27 = (2x)³ = 3³

In D, 4 is not a cube number.

Your answer is A.

Question #6

5x³ - 40
5[x³ - 8]
5[x³ - 2³]

Note: x³ - y³ = (x-y)(x² + xy + b²)

5[(x-2)(x² + 2x + 2²)]
5[(x-2)(x² + 2x + 4)]

Your answer is B.

10/45 simplified14/20 simplified
15/36 simplified
21/56 simplified
giving 20 points. Thank you all!

Answers

1. 7/10
2. 5/12
3. 3/8

Hope I Helped You!!! :-)

Have A Good Day!!!
7/10
5/12
3/8
thanks for the points :)

Is 4/6 bigger than 5/8

Answers

4/6 is bigger because if you simplify this you get 2/3 and 2/3 is bigger than 5/8 because 5/8 cannot be simplified
4/6=66.67%
5/8=62.5%
Therfore 4/6 is bigger than 5/8

If y = 2x2 – 4x, what is the value of y when x equals 5. A.10
B.30
C.80
D.480


need the answer asap

Answers

Answer:

B

Step-by-step explanation:

Putting x=5 in the above eq

y=2(5)^2-4(5)

y=2(25)-20

y=50-20

y=30

Answer:i literally have no clue humy

Step-by-step explanation:

this is bull i got to get the f out of here

How do you simplify a fraction and know when to simplify?

Answers

Find the greatest common factor of the fraction's top and bottom numbers. If it's more than '1' then the fraction can be simplified. Divide the top and bottom numbers by their greatest common factor.
to simplify a fraction, u must divide the numerator and the denominator by the same number and you know 2 do this when you find a common factor with the numerator and denominator. you divide by the common factor.

hope it helped! ;)

24+3x=3x+3(7-1) What does x equal? Please show me how to do it I don't want the answer. (Well I do but show me how to get it also pleaz) Lease help this is due tomorrow!

Answers


                                              24 + 3x = 3x + 3(7 - 1)

Eliminate the parentheses:    24 + 3x = 3x + 3(6)

                                              24 + 3x = 3x + 18

Subtract  3x  from each side:       24  =  18

Look at that for a second.  Can ANY value of 'x' make 24 equal to 18 ?
I don't think so.
There's NO number that makes the equation a true statement.

That's just another way to say: "The equation has NO solution."
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