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Anit [1.1K]
3 years ago
8

Marla did 65 sit ups each day for 1 week. Use the distributive property to show an expression u can use to find the total number

of sit ups Marla did during the week
Mathematics
1 answer:
Debora [2.8K]3 years ago
8 0
<span>the total number of sit ups = 7(60 + 5)
                                          = 7 * 60 + 7 * 5
                                          = 420 + 35
                                          = 455

Hope it helps</span>
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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

a^2-i^2=(a+i)(a-i)

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

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3 years ago
Please help me, I don't understand this!
Montano1993 [528]

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A runner increased her distance from 9 miles to 12.5 miles a week. Find the percent increase in mileage.
kondor19780726 [428]

Answer:

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Thus, the correct option is B. 39%.

Step-by-step explanation:

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A runner increased her distance from 9 miles to 12.5 miles a week.

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