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matrenka [14]
3 years ago
8

Help me!!!!!!!!!!!!!!!!

Mathematics
1 answer:
Leokris [45]3 years ago
7 0

Answer:

D. 25x² - 20x + 4

Step-by-step explanation:

The formula for the area of a square is: A = s², where s = a side length of the square since all side lengths of a square are equal.  In this case, the side length is represented by '5x', so the original area is A = (5x)² = 25x².

Since Kelly is cutting off one inch from each side of square, this will actually take off 2 total inches from each side, making the new side length '5x - 2'.  We can now put this expression in for the values of 's' in our formula for area and use distributive property to solve:

A = (5x - 2)² = (5x - 2)(5x - 2)

Distribute using FOIL:  25x² - 10x - 10x +4 or 25x² - 20x + 4

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Which of the following is a solution of x2 + 2x + 4?
ivolga24 [154]
Strictly speaking, x^2 + 2x + 4 doesn't have solutions; if you want solutions, you must equate <span>x^2 + 2x + 4 to zero:

</span>x^2 + 2x + 4= 0.  "Completing the square" seems to be the easiest way to go here:

rewrite   x^2 + 2x + 4  as   x^2 + 2x + 1^2 - 1^2 = -4, or
                                              (x+1)^2 = -3
or                                            x+1 =i*(plus or minus sqrt(3))

or                                            x = -1 plus or minus i*sqrt(3)

This problem, like any other quadratic equation, has two roots.  Note that the fourth possible answer constitutes one part of the two part solution found above.
3 0
3 years ago
The measure of anglerst can be represented by the expression (6x 12)°. three lines extend from point s. the space between lines
miv72 [106K]

Answer:

  ∠RST = 120°

Step-by-step explanation:

We assume the positions of the lines and angles will match the attached figure. The angle addition theorem gives a relation that can be solved for x, then for the value of angle RST.

  ∠RSU +∠UST = ∠RST

__

  78° + (3x -12)° = (6x +12)° . . . . . substitute given values into the above

  54 = 3x . . . . . . . . . . . . . . . . divide by °, subtract 3x+12

  108 = 6x . . . . . . . . . . . multiply by 2

  120° = (6x +12)° = ∠RST . . . . add 12, show units

The measure of angle RST is 120 degrees.

_____

<em>Additional comment</em>

Note that we don't actually need to know the value of x (18) in this problem. We only need to know the value of 6x.

7 0
2 years ago
Change mixed fraction to improper fraction.
Andreas93 [3]

Answer:

2 3/4 = 11 /4

8 2/3 = 26/3

2 1/2 = 5/2

7 0
2 years ago
Read 2 more answers
Plz help pe with this guys, thank you.
Burka [1]
31.+ addition
32. - subtraction
7 0
3 years ago
Pleaseeee help meeeeeee
Maslowich
That my dear your answer would be 16 degrees hope this helped
5 0
3 years ago
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