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4 years ago

A line passes through the point ( 4, 19 ) and ( 9, 24 ) write a liner function in the form y=Mx + b for this line.

Mathematics

2 answers:

sweet-ann [11.9K]4 years ago

5 0

Answer:

y=x+15

Step-by-step explanation:

Nikolay [14]4 years ago

5 0

Answer:

y = x + 15

Step-by-step explanation:

(4,19)...x1 = 4 and y1 = 19

(9,24)...x1 = 9 and y1 = 24

slope(m) = (y2 - y1) / (x2 - x1) = (24 - 19) / (9 - 4) = 5/5 = 1

y = mx + b

slope(m) = 1

use either of ur points...I will use (4,19)...x = 4 and y = 19

now we sub and find b, the y int

19 = 1(4) + b

19 = 4 + b

19 - 4 = b

15 = b

so ur equation is : y = x + 15

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Step-by-step explanation:

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3 years ago

Solve: 2cos(x)-square root 3=0 for 0 less than x less than 2 pi

Leona [35]

Answer:

The general solution of $cos x = cos(\frac{\pi }{6})$ is

x = 2nπ± $\frac{\pi }{6}$

The general solution values

$x = - \frac{\pi }{6} and x = \frac{\pi }{6}$

Step-by-step explanation:

Explanation:-

Given equation is

$2cosx-\sqrt{3} =0 for 0$

$2cosx =\sqrt{3}$

Dividing '2' on both sides, we get

$cos x =\frac{\sqrt{3} }{2}$

$cos x = cos(\frac{\pi }{6})$

General solution of cos θ = cos ∝ is θ = 2nπ±∝

Now The general solution of $cos x = cos(\frac{\pi }{6})$ is

x = 2nπ± $\frac{\pi }{6}$

put n=0

$x = - \frac{\pi }{6} and x = \frac{\pi }{6}$

Put n=1

$x = 2\pi +\frac{\pi }{6} = \frac{13\pi }{6}$

$x = 2\pi -\frac{\pi }{6} = \frac{11\pi }{6}$

put n=2

$x = 4\pi +\frac{\pi }{6} = \frac{25\pi }{6}$

$x = 4\pi -\frac{\pi }{6} = \frac{23\pi }{6}$

And so on

But given 0 < x< 2π

The general solution values

$x = - \frac{\pi }{6} and x = \frac{\pi }{6}$

6 0

3 years ago

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3 years ago

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5 0

3 years ago

Read 2 more answers

Tom went on a bike ride to the store 3 miles away. If it took Tom 12 of an hour to get there and 23 of an hour to get back, what

anzhelika [568]

Answer: 0.1714 miles / hour

Step-by-step explanation:

Given the following :

Distance to the store = 3 miles

Time taken to get to store = 12 hours

Time taken to return = 23 hours

The average rate of speed for the trip =?

Average Speed = total distance traveled / total time taken

Total distance traveled = 2 × 3 miles = 6 miles

Total time taken = 12 + 23 = 35 hours

Average speed = 6 miles / 35 hours

Average speed = 0.1714 miles / hour

3 0

3 years ago