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IrinaK [193]
3 years ago
10

Solve the following equation. |x| + 8 = 17 A. x = 9 or x = -9 B. x = 25 or x = -25 C. x = 25 or x = -9 D. x = -25 or x = -9

Mathematics
1 answer:
Oksanka [162]3 years ago
7 0

Answer:

a

Step-by-step explanation:

|x| means absolute value.

17-8=9. the absolute value of 9 is 9. (thats why all the negative answers are wrong)

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The area of a square is found by squaring one of its sides, (A = s 2). A certain square has an area of z 2 + 18z + 81. Factor th
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<span>so to factor the trinomal: z^2+18z+81 In this problem 9*9=81 and 9+9=18, so insert 9 as the right hand term of one factor and 9 as the right-hand term of the other factor. (z+9)(z+9) Combine the two common factors of (z+9) by adding the exponents. (z+9)^2</span>
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Please can someone help; this is not cheating btw.
Umnica [9.8K]

By determining the area of the square, we get x^{2} +4x = 3.

Step-by-step explanation:

Step 1:

The area of a square is given by squaring its side length.

The given squares side length is (x+2) cm.

The area of a square = a^{2} . Here a is the side length.

The area of the square is given as 7 cm².

Step 2:

Substituting the value of a in the equation, we get

7 = (x+2)^{2} = x^{2}  + 4x + 4.

Taking the x values on one side and the constants on the other side, we get

x^{2} +4x= 7-4 =3.

So x^{2} +4x = 3.

So it has been proved.

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A trampoline has an area of 49 times pie square feet. what is the diameter of the trampoline?
zimovet [89]

153.0957135885=49*pie


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The best, closest quotient would be 87.
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According to the rational root theron what are all the potential roots of f(x)=9x^4-2x^2-3x+4
Viefleur [7K]

Answer:

<u>Potential roots:</u>  \frac{9}{4},\frac{9}{2},9,\frac{3}{4},\frac{3}{2},3, \frac{1}{4},\frac{1}{2},1

Step-by-step explanation:

Simply put, the rational roots theorem tells us that if there are any rational roots of a polynomial function, they must be in the form

±  \frac{FactorsOfa_{0}}{FactorsOfa_n}

Where

a_n is the number before the highest power of the polynomial, and

a_0 is the constant in the polynomial

<em>From the polynomial shown, we have a_n = 9 and a_0 = 4</em>

<em />

<em>The factors of 9 are 9, 3, 1</em>

<em>and</em>

<em>The factors of 4 are 4,2,1</em>

<em />

So, if there are any rational roots, they would be:

±  \frac{FactorsOfa_{0}}{FactorsOfa_n}

±  \frac{9,3,1}{4,2,1}

Which is  ±   9/4, 9/2, 9/1, 3/4, 3/2, 3/1, 1/4, 1/2, 1/1

or

\frac{9}{4},\frac{9}{2},9,\frac{3}{4},\frac{3}{2},3, \frac{1}{4},\frac{1}{2},1

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