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scoundrel [369]
4 years ago
15

Line k passes through the points (0,4) and (3,13). write the equation of line k​

Mathematics
1 answer:
aleksandrvk [35]4 years ago
7 0

Answer:

y = 3x + 4

Step-by-step explanation:

To find the slope, you need to subtract 4 from 13 and 0 from 3. So this will look like 9/3, which would be 3. To find the y-intercept, plug in one of the coordinates, so let's take (0, 4) since it's easier. If you plug in the 0 as the x and the 4 as the y in the equation, it should look like, 4 = 3(0) + b. 0 times 3 is 0, so that makes the b (y-intercept) 4.

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\sqrt{27} - \sqrt{ 12} + \sqrt{48 }
cestrela7 [59]

Answer:

5\sqrt{3}

Step-by-step explanation:

I'm assuming you're asking for most simplified form?

Original Equation:

\sqrt{27} - \sqrt{12} + \sqrt{48}

Rewrite sqrt(27) using the exponent property: \sqrt[n]{a} * \sqrt[n]{b} = \sqrt[n]{ab}

\sqrt{9} * \sqrt{3} -\sqrt{12} + \sqrt{48}

Simplify sqrt(9)

3\sqrt{3} -\sqrt{12} + \sqrt{48}

Rewrite the radical sqrt(12)

3\sqrt{3} -\sqrt{4}\sqrt{3} + \sqrt{48}

Simplify sqrt(2)

3 \sqrt{3} -2\sqrt{3} + \sqrt{48}

Rewrite the radical sqrt(48)

3\sqrt{3} -2\sqrt{3} + \sqrt{16}\sqrt{3}

Simplify the sqrt(16)

3\sqrt{3} -2\sqrt{3} + 4\sqrt{3}

You can think of sqrt(3) as x, in which case you have 3x - 2x + 4x, so you just add the coefficients and leave the sqrt(3) alone.

Subtract 2 from 3

1\sqrt{3} + 4\sqrt{3}

Add 1 and 4

5\sqrt{3}

6 0
2 years ago
Choose the correct trig equation that will solve for the missing side.
Ksivusya [100]

Answer:

lol

Step-by-step explanation:

ok

7 0
3 years ago
Read 2 more answers
Is 96 prime??.?.??????
liraira [26]
No, 96 is not a prime number, it is a composite number.

Hope I helped :-)
5 0
3 years ago
Read 2 more answers
A hot air balloon festival, Mohammed’s balloon is at 40 feet and rises at a rate of 10 ft./min. dana’s balloon is at a height of
nekit [7.7K]

Answer:

  • 5 minutes
  • 90 ft

Step-by-step explanation:

After some number of minutes m, Mohammed's altitude will be ...

  40 +10m

and Dana's altitude will be ...

  165 -15m

The altitudes will be the same when ...

  40 +10m = 165 -15m

  25m = 125 . . . . . . . . . . . add 15m-40

  m = 5 . . . . . . . . . . . . . . . divide by 25

The height of the two balloons after 5 minutes will be 40+10·5 = 90 ft.

8 0
3 years ago
The___of an equation is formed by all the points in the plane that make it true
padilas [110]

Answer:

The answer for your question would be Graph :)

6 0
3 years ago
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