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3 years ago

what's the width of the base of a rectangle if the length is 70ft less than twice the width and the perimeter is 760

Mathematics

1 answer:

schepotkina [342]3 years ago

6 0

Answer:

Let width be x ft

Length=2x-70 ft

Perimeter=760ft

Perimeter=2(x+2x-70)

760 ft=2(3x-70)

380ft=3x-70 ft

450ft=3x

x=450/3

x=150ft.

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Paraphin [41]

Answer:

A. The solutions are $x=3i,\:x=-3i$ .

B. The factored form of the quadratic expression $x^2+9=(x-3i)(x+3i)$

Step-by-step explanation:

A. To find the solutions to the quadratic equation $x^2+9=0$ you must:

$\mathrm{Subtract\:}9\mathrm{\:from\:both\:sides}\\\\x^2+9-9=0-9\\\\\mathrm{Simplify}\\\\x^2=-9\\\\\mathrm{For\:}x^2=f\left(a\right)\mathrm{\:the\:solutions\:are\:}x=\sqrt{f\left(a\right)},\:\:-\sqrt{f\left(a\right)}\\\\x=\sqrt{-9},\:x=-\sqrt{-9}$

$x=\sqrt{-9} = \sqrt{-1}\sqrt{9}=\sqrt{9}i=3i\\\\x=-\sqrt{-9}=-\sqrt{-1}\sqrt{9}=-\sqrt{9}i=-3i$

The solutions are:

$x=3i,\:x=-3i$

B. Two expressions are equivalent to each other if they represent the same value no matter which values we choose for the variables.

To factor $x^2+9$ :

First, multiply the constant in the polynomial by $i^2$ where $i^2$ is equal to -1.

$x^2+9i^2$

Since both terms are perfect squares, factor using the difference of squares formula

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$x^2+9=x^2+9i^2=\left(-3i+x\right)\left(3i+x\right)$

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stepan [7]

Answer:

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3 years ago

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Answer:

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Step-by-step explanation:

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Then, each person recived 6.85 fluid ounces of spiced cider.

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That means that each person recived 0.85 cups of spiced cider.

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den301095 [7]

Answer:

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Please don't ask me what the answer is. The question does not make it clear enough to give you one answer. I do suggest you draw a diagram to show both possibilities. Your teacher will likely applaud you for poking holes in the question.

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