How do you recognize if a binomial is a difference of perfect squares?

1 answer:

7 0

First off, perfect squares are numbers that have factors that can be multiplied by two of the same numbers. (such as: 1,4,9,16,25,36,49,64,81, & 100). a perfect squares can also be when in is a number such as x^2 or x∧4 (as long as the exponents are multiples of two.) You might know that a binomial is two terms. So you can recognize it by those numbers I mentioned earlier being subtracted.

Hope you understood and I wasnt confusing =)

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Please help me with this. Use the combination method of substitution to solve. Please show and explain work. Thanks.

Artemon [7]

Answer:

x = 25.35 (or 2129/84) and y = 4334.04 (or 121353/28)

Step-by-step explanation:

The given equations are set up and ready to go with substitution. Simply just plug in the first equation to the second equation as both are equal to y.

Step 1: Replace y in y = 87x + 2129 with 171x

171x = 87x + 2129

Step 2: Subtract 87 x on both sides

84x = 2129

Step 3: Divide both sides by 84 to get x

x = 2129/84 or 25.35 (rounded)

To get y, simply plug in x into one of the 2 original equations. In this case, I will use the first equation:

y = 171 (25.35)

y = 121353/28 or 4334.04 (rounded)

You can check your work by plugging both solutions into the calculator and see if they equal each other. The values for these answers are solely based on the equations, so if you write the equations wrong themselves, then that means you have the values wrong as well.

6 0

3 years ago

A tennis instructor chargers $40 for each one hour lesson and $25 for each half hour lesson if the instructors I come from 35 le

kaheart [24]

X = 1 hr lessons and y = 1/2 hr lessons

x + y = 35......y = 35 - x
40x + 25y = 1115

40x + 25(35 - x) = 1115
40x + 875 - 25x = 1115
40x - 25x = 1115 - 875
15x = 240
x = 240/15
x = 16 <=== there are 16 one-hr lessons
and 19 half-hr lessons

7 0

4 years ago

Match the following expression 12(x-3)+18=4(2x-3) with the number of solutions below.

vfiekz [6]

12(x-3) + 18 = 4(2x-3)

12x-36+18 = 8x-12

12x -18 = 8x-12

12x-8x = -12 + 18

4x = 6

x = 6/4 or 3/2

one solution A

4 0

3 years ago

Read 2 more answers

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skelet666 [1.2K]

Answer:

Shoyo here!