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Sunny_sXe [5.5K]
3 years ago
7

A line passes through the points (4, 19) and (9, 24). Write a linear function in the form y=mx+b for this line

Mathematics
1 answer:
k0ka [10]3 years ago
8 0

Answer:

y=x+15

Step-by-step explanation:

1. find the slope

m=(24-19)/(9-4)

m=5/5

m=1

2. plug slope into slope intercept formula

y=1x+b

y=x+b

3. plug in for x and y from either coordinate point (just make sure they are from the same point!!)

24=9+b

15=b

4. plug m and b into formula

y=x+15

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Melissa worked to earn $20.00. Alan worked for $12.00 hours. If she earns $2.00 per hour, how many hours did Melissa work?
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Two friends are biking. Greta starts at mile marker S on a bike trail and is biking at a speed of 12 miles per hour The table sh
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<h3>What is speed?</h3>

Speed is the ratio of distance travelled to time taken. It is given by:

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Find out more on speed at: brainly.com/question/4931057

7 0
2 years ago
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\sf{Given : 3tanx + 7 = \dfrac{2}{(1 - sinx)(1 + sinx)}}

We know that : (a - b)(a + b) = a² - b²

\implies \sf{3tanx + 7 = \dfrac{2}{1 - sin^2x}}

We know that : 1 - sin²x = cos²x

\implies \sf{3tanx + 7 = \dfrac{2}{cos^2x}}

\sf{\bigstar \ \ We \ know \ that : \boxed{\sf{\dfrac{1}{cos^2x} = sec^2x}}}

\implies \sf{3tanx + 7 = 2sec^2x}

We know that : sec²x = 1 + tan²x

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