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s344n2d4d5 [400]
3 years ago
13

Find the slope of the line that passes through (10, 8) and (9, 13)

Mathematics
1 answer:
7nadin3 [17]3 years ago
3 0
Slope is 5!

Equation:
13-8/9-10=5/1

y2-y1=x2-x1
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Adele is driving her car near the Tri-State area. She covers a distance of 221.05 miles in 4 hours. She then stops at a diner, a
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The answer is D. 1.5 hours

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(3x squared)to the power of -2 
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(3x^2)^{-2}\to\boxed{1/(3x^{2})^2\to\frac{1}{9x^4}}
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PLEASE HELP NOW NOW NOW PLEASE PLEASE HELP
bija089 [108]

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$46.00

Step-by-step explanation:

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Terry and Callie do word processing. For a certain prospectus Callie can prepare it two hours faster than Terry can. If they wor
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Time taken by jerry alone is 10.1 hours

Time taken by callie alone is 8.1 hours

<u>Solution:</u>

Given:- For a certain prospectus Callie can prepare it two hours faster than Terry can

Let the time taken by Terry be "a" hours

So, the time taken by Callie will be (a-2) hours

Hence, the efficiency of Callie and Terry per hour is \frac{1}{a-2} \text { and } \frac{1}{a} \text { respectively }

If they work together they can do the entire prospectus in five hours

\text {So, } \frac{1}{a-2}+\frac{1}{a}=\frac{1}{5}

On cross-multiplication we get,

\frac{a+(a-2)}{(a-2) \times a}=\frac{1}{5}

\frac{2 a-2}{(a-2) \times a}=\frac{1}{5}

On cross multiplication ,we get

\begin{array}{l}{5 \times(2 a-2)=a \times(a-2)} \\\\ {10 a-10=a^{2}-2 a} \\\\ {a^{2}-2 a-10 a+10=0} \\\\ {a^{2}-12 a+10=0}\end{array}

<em><u>using quadratic formula:-</u></em>

x=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}

x=\frac{12 \pm \sqrt{144-40}}{2}

\begin{array}{l}{x=\frac{12 \pm \sqrt{144-40}}{2}} \\\\ {x=\frac{12 \pm \sqrt{104}}{2}} \\\\ {x=\frac{12 \pm 2 \sqrt{26}}{2}} \\\\ {x=6 \pm \sqrt{26}=6 \pm 5.1} \\\\ {x=10.1 \text { or } x=0.9}\end{array}

If we take a = 0.9, then while calculating time taken by callie = a - 2 we will end up in negative value

Let us take a = 10.1

So time taken by jerry alone = a = 10.1 hours

Time taken by callie alone = a - 2 = 10.1 - 2 = 8.1 hours

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3 years ago
Is 1/4 more than 7/3
IrinaVladis [17]

Answer:

No

Step-by-step explanation:

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