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Wittaler [7]
3 years ago
13

The quantities x and y are proportional.

Mathematics
1 answer:
Ksenya-84 [330]3 years ago
4 0

Answer:

r=3,r=25/27,r=3

Step-by-step explanation:

In equation y=rx

make r the subject of the formula by dividing both sides by x

r=y/x

1). when y=15 and x=5

r=15/5

r=3

2). when y=25 and x=81/3

r=25/81/3

r=25÷81/3

r=25*3/81

r=75/27

r=25/27

3). when y=33 and x=11

r=33/11

r=3

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2 years ago
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eimsori [14]

The values of the letters in coordinates (a, b) and (c,d) are;

<u><em>a = -4</em></u>

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We are given two equations;

-6x + 3y = 6  ---(eq 1)

x² + y = 10 ---(eq 2)

  • We are told that they intersect at coordinates; (a, b) and (c, d).

Let us make y the subject in eq 2 to get;

y = 10 - x²  --(eq 3)

  • Let us put 10 - x² into eq 1 to get;

-6x + 3(10 - x²) = 6

expanding further gives;

-6x + 30 - 3x² = 6

rearranging gives;

3x² + 6x - 24 = 0

Using online quadratic equation <em>solver</em>, we have;

x = -4 and x = 2

Putting x = -4 into eq 3 gives;

y = 10 - (-4)²

y = 10 - 16

y = -6

Putting x = 2 into eq 3 gives;

y = 10 - (2)²

y = 10 - 4

y = 6

  • Thus, the coordinates are; (-4, -6) and (2, 6)

Comparing with (a, b) and (c,d), we have;

a = -4

b = -6

c = 2

d = 6

Read more at; brainly.com/question/15165519

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2 years ago
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Answer: The temperature decreased by 22 degrees

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Sunny_sXe [5.5K]

Answer:

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Step-by-step explanation:

You first gotta know the value of x by putting both equations in line!

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4(13) + 19 = 6(13) - 7

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Then we already have the length of MN!

<u>Answer:</u> MN = 71

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