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3 years ago

7

Write an equation for the line that passes through the points (-5, 4) and (3, -2)

1 answer:

Vika [28.1K]3 years ago

4 0

Find the slope:

y2 - y1/x2 - x1

plug in our values: -2-4/3-5

subtract: -6/-2

divide: 3/1

m = 3/1

now we need to put it in point slope form:
y - y1 = m(x - x1)

plug in our values: y - 4 = 3(x-5)

distribute the 3 to the values inside the parentheses by multiplication:

y - 4 = 3x - 15

get y by itself by getting rid of the 4 through addition:

y - 4 + 4 = y
3x - 15 + 4 = 3x - 11

equation for this line: y = 3x - 11

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Find the average value of the function on the given interval.<br> f(x)=2 ln x; [1,e]

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Step-by-step explanation:

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2 years ago

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vredina [299]

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3 years ago

£750 is divided between Bridget, Caroline & Sarah so that Bridget gets twice as much as Caroline, and Caroline gets three ti

Sladkaya [172]

Answer: £225

Step-by-step explanation:

Let Sarah's amount be represented by x.

Since Caroline gets three times as much as Sarah, Caroline will get: 3x

Bridget gets twice as much as Caroline, therefore Bridget will get: 2 × 3x = 6x

Sarah = x

Caroline = 3x

Bridget = 6x

Total = x + 3x + 6x = 10x

Caroline's faction is 3/10. We then multiply the fraction by £750. This will be:

= 3/10 × £750

= 0.3 × £750

= £225

Caroline will get £225

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