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Ronch [10]
3 years ago
6

Which identity is the result of using the pythagorean theorem to show that a triangle with side lengths x^2 - 1, 2x, and x^2 +

1 is a right triangle?
A. (x^2 - 1)^2 + (2x)^2 = -(x^2 + 1)^2
B. -(x^2 -1)^2 + (2x)^2 = (x^2 +1)^2
C. (x^2-1)^2 + (2x)^2 = (x^2 +1)^2
D. (x^2 - 1)^2 - (2x)^2 = (x^2 + 1)^2
Mathematics
2 answers:
vfiekz [6]3 years ago
8 0

9514 1404 393

Answer:

  C.  (x^2-1)^2 + (2x)^2 = (x^2 +1)^2

Step-by-step explanation:

Inexplicably, three of the four answer choices have minus signs in them. Those are all incorrect. The appropriate choice is ...

  C. (x^2-1)^2 + (2x)^2 = (x^2 +1)^2

__

Expanded, this is ...

  x^4 -2x^2 +1 +4x^2 = x^4 +2x^2 +1 . . . . the desired identity

ella [17]3 years ago
6 0

Answer:

C.  (x^2-1)^2 + (2x)^2 = (x^2 +1)^2

Step-by-step explanation:

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7 0
3 years ago
SA = 2tr2 + 2trh
julsineya [31]

Given:

Radius of the cylinder = 5 in

Height of the cylinder = 30 in.

To find:

The surface area of the cylinder.

Solution:

The surface area of the cylinder is:

SA=2\pi r^2+2\pi rh

Where, r is the radius and h is the height of the cylinder.

Putting r=5,h=30,\pi=3.14 in the above formula, we get

SA=2(3.14)(5)^2+2(3.14)(5)(30)

SA=2(3.14)(25)+942

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6 0
2 years ago
A recreation center ordered a total of 15 try schools and bicycles from a sporting good store. The number of wheels for all tric
Juli2301 [7.4K]

Answer: The linear system of equations that models this scenario are

T + B = 15

3T + 2B = 38

Step-by-step explanation:

Let T represent the number of tricycles.

Let B represents the number of bicycles ordered.

The recreation center ordered a total of 15 tricycles and bicycles from a sporting good store. It is expressed as

T + B = 15

A tricycle has three wheels. A bicycle has 2 wheels. The number of wheels for all tricycles and bicycles total 38. The expression would be

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6 0
3 years ago
Please help... I really need this.
valentinak56 [21]

Answer:

\frac{4x^3-3x^2+5x+6}{x+6}=4x^2-27x+167-\frac{996}{x+6}

Step-by-step explanation:

The division problem given to us is (4x^3-3x^2+5x+6)\div (x+6).

To perform the synthetic division, we write out the coefficient of the polynomial. We set the linear factor to zero and solve for x, this becomes our divisor. That is x+6=0\implies x=-6.

We carry out the synthetic division as shown in the attachment.

The result of the synthetic division is 4   -27   167   -996

The first three terms are the coefficients of the quotient and the last term is the remainder.

Therefore the quotient is q(x)=4x^2-27x+167 and the remainder is r(x)=-996.

The dividend, the quotient and the divisor are written as

\frac{4x^3-3x^2+5x+6}{x+6}=4x^2-27x+167-\frac{996}{x+6}

The correct answer is A

3 0
3 years ago
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