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AnnZ [28]
3 years ago
12

The points (6,8) and (5,5) fall on a particular line.

Mathematics
1 answer:
Doss [256]3 years ago
8 0

Answer:

y=3x-10

Step-by-step explanation:

To find equation of the line passing through points

and A(xa, ya) and B(xb, yb)

, we use formula: y-ya = yb-ya/xb-xa (x-xa)

In this example we have xa=

6 ,ya=

8 , xb=5

and yb=5

. So,

y-ya= yb-ya / xb-xa (x-xa)

y-8 = 5-8/ 5-6 (x-6)

y-8= 3(x-6)

y-8= 3x-18

y-8= 3x-10

y = 3x - 10

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I solved it, but the answer to it was not on the answers. Did I do it wrong?
tino4ka555 [31]

Answer:

\frac{1}{9}

Step-by-step explanation:

\frac{ {3}^{2} }{3^{4}} =   \frac{9}{81}  =  \frac{1}{9}

4 0
3 years ago
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If there are 80 rides in total,how many are made for kids 48 inches and taller
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This would 70% of 80. To find this multiply (7/10) by 80 to get your answer: 56.
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4 years ago
Darren invests $4,500 into an account that earns 5% annual interests. How much will be in the account after 10 years if the inte
Tom [10]

We have been given that Darren invests $4,500 into an account that earns 5% annual interests. We are asked to find the amount in his account after 10 years, if the interest rate is compounded annually, quarterly, monthly, or daily.

We will use compound interest formula to solve our given problem.    

A=P(1+\frac{r}{n})^{nt}, where,

A = Final amount,

P = Principal amount,

r = Annual interest rate in decimal form,

n = Number of times interest is compounded per year,

t = Time in years.

5\%=\frac{5}{100}=0.05

When compounded annually, n=1:

A=4500(1+\frac{0.05}{1})^{1\cdot 10}

A=4500(1.05)^{10}

A=4500(1.6288946267774414)

A=7330.025820498\approx 7330.03

When compounded quarterly, n=4:

A=4500(1+\frac{0.05}{4})^{4\cdot 10}

A=4500(1.0125)^{40}

A=4500(1.6436194634870132)

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When compounded monthly, n=12:

A=4500(1+\frac{0.05}{12})^{12\cdot 10}

A=4500(1.00416666)^{120}

A=4500(1.64700949769)

A=7411.542739605\approx 7411.54

When compounded daily, n=365:

A=4500(1+\frac{0.05}{365})^{365\cdot 10}

A=4500(1.0001369863013699)^{3650}  

A=4500(1.6486648137656943695)

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Since amount earned will be maximum, when interest is compounded daily, therefore, Darren should use compounded daily interest rate.

3 0
3 years ago
Please help with this question p
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Answer:

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Step-by-step explanation:

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4 0
2 years ago
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Answer:

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Jahill's height is 70 inches. That is 6 inches shorter than 4 times his sister's height, h. That is the same thing as 4 times h minus 6.

70 = 4 * h - 6

4 * h - 6 = 70

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Hope this helps!

3 0
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