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Ksenya-84 [330]
2 years ago
15

please help i will mark brainliest, no spam answers i will report.

Mathematics
1 answer:
vovikov84 [41]2 years ago
3 0

9514 1404 393

Answer:

  (c)  (3, 3)

Step-by-step explanation:

Point E partitions both the x-distance and the y-distance in the ratio 2 : 1. That is, for either the x-coordinates or the y-coordinates, ...

  CE : ED = 2 : 1

Try the answers with the x-coordinates.

  CE : ED = (1 -(-1)) : (5 - 1) = 2 : 4 . . . . incorrect

  CE : ED = (-3 -(-1)) : (5 -(-3)) = -2 : 8 . . . . incorrect

  CE : ED = (3 -(-1)) : (5 -3) = 4 : 2 = 2 : 1 . . . . correct

  CE : ED = (-1 -(-1)) : (5 -(-1)) = 0 : 6 . . . . incorrect

The only viable choice is (3, 3).

_____

<em>Alternate solution</em>

For a partitioning of m : n, the desired point is ...

  E = (n×C +m×D)/(m+n)

For partitioning of 2 : 1, the desired point is ...

  E = (1×(-1, -3) + 2×(5, 6))/(2+1) = (-1+10, -3 +12)/3

  E = (3, 3)

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Answer:

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Step-by-step explanation:

we know that

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15\frac{1}{8}

convert to an improper fraction

15\frac{1}{8}=\frac{15*8+1}{8}=\frac{121}{8}

That means

121 in in the actual, represent 8 in on a scale drawing

To find how long is the actual part for 3 7/8 inches long as the drawing

Apply proportion

First convert to an improper fraction

3\frac{7}{8}=\frac{3*8+7}{8}=\frac{31}{8}

\frac{121}{8}\frac{actual}{drawing} =\frac{x}{(31/8)}\frac{actual}{drawing}\\ \\x=121(31/8)/8\\ \\x=\frac{3,751}{64}\ in  

convert to mixed number

\frac{3,751}{64}\ in=\frac{3,712}{64} +\frac{39}{64} =58\frac{39}{64}\ in

7 0
3 years ago
10. The product of -2 and a number n is increased by 15. The result is greater than 3. Choose the inequality that represents the
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Step-by-step explanation:

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1 year ago
Make m the subject of the formula<br><br><img src="https://tex.z-dn.net/?f=s%20%3D%20%5Cfrac%7Bhm%7D%7B4%7D%20" id="TexFormula1"
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Invest $6,300 in two different accounts the first account paid 11% the second account paid 6% in interest at the end of the year
MAVERICK [17]

Answer: he invested $5300 at 11% and $1000 at 6%

Step-by-step explanation:

Let x represent the amount which he invested in the first account paying 11% interest.

Let y represent the amount which he invested in the second account paying 6% interest.

He Invest $6,300 in two different accounts the first account paid 11% the second account paid 6% in interest. This means that

x + y = 6300

The formula for determining simple interest is expressed as

I = PRT/100

Considering the first account paying 11% interest,

P = $x

T = 1 year

R = 11℅

I = (x × 11 × 1)/100 = 0.11x

Considering the second account paying 6% interest,

P = $y

T = 1 year

R = 6℅

I = (y × 6 × 1)/100 = 0.06y

At the end of the year, he had earned $643 in interest , it means that

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Substituting x = 6300 - y into equation 1, it becomes

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693 - 0.11y + 0.06y = 643

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y = - 50/ - 0.05

y = 1000

x = 6300 - y = 6300 - 1000

x = 5300

7 0
3 years ago
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