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natali 33 [55]
3 years ago
11

Solve the equation fast please! I will say thank you and mark you Brainliest!

Mathematics
1 answer:
Mariulka [41]3 years ago
6 0

Answer:

  x = ±5

Step-by-step explanation:

Multiply by (x-1)(x+1) and you get ...

  (x+1) - (x -1) = (x -1)(x +1)/12

  24 = x^2 -1 . . . . simplify and multiply by 12

  0 = x^2 -25 . . . subtract 24

  0 = (x -5)(x +5) . . . factor the difference of squares

Values of x that make the factors 0 are x=5 and x=-5.

The solutions are x=-5 or x=5.

_____

Subtracting the right side gives an equation that has its solutions at the x-intercepts of the left-side expression. These are seen to be -5 and +5 in the attached graph.

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Properties of transformations: mastery test
hodyreva [135]

Answer:

What is the question is this Geometry?

Step-by-step explanation:

5 0
3 years ago
Allen is trying to buy sneakers he has $50 to spend he finds a pair that he really likes that cost $58 if he has a 20% coupon ca
svetoff [14.1K]
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3 years ago
A rectangular piece of metal is 25 in longer than it is wide. Squares with sides 5 in long are cut from the four corners and the
Licemer1 [7]

Answer:

The original length was 41 inches and the original width was 16 inches

Step-by-step explanation:

Let

x ----> the original length of the piece of​ metal

y ----> the original width of the piece of​ metal

we know that

When squares with sides 5 in long are cut from the four corners and the flaps are folded upward to form an open box

The dimensions of the box are

L=(x-10)\ in\\W=(y-10)\ in\\H=5\ in

The volume of the box is equal to

V=(x-10)(y-10)5

V=930\ in^3

so

930=(x-10)(y-10)5

simplify

186=(x-10)(y-10) -----> equation A

Remember that

The piece of metal is 25 in longer than it is wide

so

x=y+25 ----> equation B

substitute equation B in equation A

186=(y+25-10)(y-10)

solve for y

186=(y+15)(y-10)\\186=y^2-10y+15y-150\\y^2+5y-336=0

Solve the quadratic equation by graphing

using a graphing tool

The solution is y=16

see the attached figure

Find the value of x

x=16+25=41

therefore

The original length was 41 inches and the original width was 16 inches

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Read 2 more answers
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