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umka21 [38]
3 years ago
9

There are 3 feet in 1 yard, how many yards in 42 feet?

Mathematics
1 answer:
Lilit [14]3 years ago
3 0

Answer:

c

Step-by-step explanation:

there are 14 yard in 42 feet

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You don't flip; you cross multiply proportions
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Congruent triangles are always similar
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Exactly the same three sides and

exactly the same three angles

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Karen works for 85 hours over a two week period. SHe earns $1,891.25 over this period. How much does Karen earn for 8 hours of w
Gekata [30.6K]
If karen works 85 hours within two weeks and earns $1,891.25, you'd set up an equation like this, to find the value of x ----

x=amount of money per hour Karen works 

85x=<span>1,891.25

then divide </span><span>1,891.25 by 85 

x=</span>22.25

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4 0
3 years ago
Given the polynomial 2x3 18x2 − 18x − 162, what is the value of the constant 'k' in the factored form? 2x3 18x2 − 18x − 162 = 2(
oee [108]

The value of the constant 'k' in the factored form factorization the provided polynomial equation is 3.

<h3>What is polynomial equation?</h3>

Polynomial equations is the expression in which the highest power of the unknown variable is n (n is real number).

The factor of a polynomial is the terms in linear or equation form, which are when multiplied together, give the original polynomial equation as result.

The given polynomial equation in the problem is,

2x^3 +18x^2 - 18x - 162

The factor of the polynomial equation are given as,

2(x+ k)(x - k)(x +9)

First find out the factors to compare and find the value of k.The above equation has the unknown variable x and the highest power of this unknown variable is 3.

Take out the highest common factor 2, which can divide each term of the above equation (2, 18, -18, -162). Thus,

2(x+ k)(x - k)(x +9)=2(x^3 +9x^2 - 9x - 81)

Take out the highest common factor to make the groups as,

2(x+ k)(x - k)(x +9)=2(x^2( x+9) - 9(x + 9))\\2(x+ k)(x - k)(x +9)=2( x+9) (x^2 - 9)\\2(x+ k)(x - k)(x +9)=2( x+9) (x^2 - 3^2)

Use the property of difference of the square for the (x²-3²) term as,

2(x+ k)(x - k)(x +9)=2( x+9) (x+3)(x-3)\\2(x+ k)(x - k)(x +9)=2 (x+3)(x-3)( x+9)

On comparing the two equation, we get the value of k as 3. Thus, the value of the constant 'k' in the factored form factorization the provided polynomial equation is 3.

Learn more about factor of polynomial here;

brainly.com/question/24380382

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1 year ago
6 cds are jazz 5 are country 5 are classical 5 are hip jop and remaining 4 are rock , what's the probability a classical cd will
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I think it's 3 out of 5, I'm not sure though.
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