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GREYUIT [131]
2 years ago
6

(-2, 11) & (5,6) What is the slope of the equation between these two points?

Mathematics
1 answer:
ololo11 [35]2 years ago
8 0

Answer:

m =\dfrac{-5}{7}

Step-by-step explanation:

<u>Given </u><u>:</u><u>-</u><u> </u>

  • Two points (-2,11) and (5,6) .

And we need to find out the slope of the equation between the two points. The slope of the line passing through two points , is given by ,

\implies Slope (m) =\dfrac{ y_2-y_1}{x_2-x_1}

  • Here the two points are (-2,11) and (5,6) .So put on the respective values ,

\implies Slope (m) =\dfrac{ 11 - 6}{-2-5}\\\\\implies Slope = \dfrac{5}{-7} \\\\\implies Slope = \dfrac{-5}{7}

<u>Hence</u><u> the</u><u> </u><u>slope</u><u> of</u><u> the</u><u> line</u><u> is</u><u> </u><u>-</u><u>5</u><u>/</u><u>7</u><u> </u><u>.</u>

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Simone invests 1200 into two savings accounts. One account earns 4% annual interest and the other earns 5.9% annual interest. At
Allisa [31]

Answer: He invested $350 at 4% and $850 at 5.9%

Step-by-step explanation:

Let x represent the amount which he invested in the account earning 4% interest.

Let y represent the amount which he invested in the account earning 5.9% interest.

Simone invests 1200 into two savings accounts. One account earns 4% annual interest and the other earns 5.9% annual interest. This means that

x + y = 1200

The formula for determining simple interest is expressed as

I = PRT/100

Considering the account earning 4% interest,

P = $x

T = 1 year

R = 4℅

I = (x × 4 × 1)/100 = 0.04x

Considering the account earning 5.9% interest,

P = $y

T = 1 year

R = 5.9℅

I = (y × 5.9 × 1)/100 = 0.059y

At the end of 1 year, Simon earned 64.15 in interest. it means that

0.04x + 0.059y = 64.15 - - - - - - - - -1

Substituting x = 1200 - y into equation 1, it becomes

0.04(1200 - y) + 0.059y = 64.15

48 - 0.04y + 0.059y = 64.15

- 0.04y + 0.059y = 64.15 - 48

0.019y = 16.15

y = 16.15/0.019

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7 0
3 years ago
What does x equal if x-10 divided by x-4 equals 50 divided by -6
harkovskaia [24]

Answer:

x=65/14

Step-by-step explanation:

(x-10)/(x-4)=50/-6

-50/6=-25/3

(x-10)/(x-4)=-25/3

x-10=-25/3(x-4)

x-10=-25/3x+100/3

x-(-25/3x)=100/3+10

x+25/3x=130/3

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x=(130/3)/(28/3)

x=(130/3)(3/28)

x=130/28

x=65/14

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zysi [14]

Answer:

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Step-by-step explanation:

10 ÷ 516

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2 years ago
Jimmy has 50 candies. He ate 24. How much does he have left?
Alex777 [14]

Answer:

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Step-by-step explanation:

Jimmy will have 26 candies left, because 50 - 24 = 26. Or, in other words, 24 subtracted (or ate) from 50 means 26 candies left.

Hope this helped!

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Jordan is picking berries. The number of blueberries he
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