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Agata [3.3K]
2 years ago
5

A 34-inch piece of wood is 2.4% of a longer piece of wood. How long is the longer piece of wood? Show your work. You can use pro

portions
Mathematics
1 answer:
riadik2000 [5.3K]2 years ago
8 0
Think of this as a proportion: 2.4 is to 100, as 34 is to L ("L" for "Long piece.")

Cross multiply to get 2.4 L = 3400, then divide both sides by 2.4 to be left with

L = 3400/2.4, so

L = 1416.666...

So the longer piece of wood is 1,416.66... inches long.

Hope this helps!!:)
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3 years ago
49x^2=-21x-2 quadratic functions
lara [203]

Answer: 49x^2=-21x-2 quadratic functions -1/7and -2/7    



Step-by-step explanation:

Quadratic function:

In elementary algebra, the quadratic formula is a formula that provides the solution to a quadratic equation. There are other ways of solving a quadratic equation instead of using the quadratic formula, such as factoring, completing the square, graphing and others.

Move terms to the left side

49x^{2}  =-21x-2

49x^{2}  -(-21x-2) =0

 Distribute

49x^{2}  -(-21x-2) =0

49x^{2}+21x+2=0

Use the quadratic formula



 x=(-b±√b^{2}  -4ac  ) / 2a

                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                   

Once in standard form, identify a, b, and c from the original equation and plug them into the quadratic formula.

 49x^{2}+21x+2=0

let, a=49

b=21

c=2

 Replace with values in this equation

X=(-b±√b^{2}  -4ac  ) / 2a

Simplify

Evaluate the exponent

Multiply the numbers

Subtract the numbers

Evaluate the square root

Multiply the numbers

x=(-21±7) /98

Separate the equations

To solve for the unknown variable, separate into two equations: one with a plus and the other with a minus.Separate

x=(-21+7) /98

x=(-21-7) /98

Solve

Rearrange and isolate the variable to find each solution

x=-1/7

x=-2/7



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