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olya-2409 [2.1K]
3 years ago
9

Which equation is a point slope form equation for line AB ?

Mathematics
1 answer:
Stells [14]3 years ago
3 0

Answer:

y -5 = (3/4)(x -6)

Step-by-step explanation:

Between the two points, the line has a rise of 6 and a run of 8. Thus, the slope is ...

... m = rise/run = 6/8 = 3/4

The point-slope form of the equation of a line with slope m through point (h, k) is ...

... y - k = m(x - h)

For point B, (h, k) = (6, 5), so filling in the values gives ...

... y - 5 = (3/4)(x - 6)

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Which expression represents the phrase "twice the difference of a number and 5"?
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(look at the images) can i get help on these?
Svetlanka [38]

Answer:

see explanation

Step-by-step explanation:

15

JK + KL = JL , substitute values

2x + 1 + 6x = 81, that is

8x + 1 = 81 ( subtract 1 from both sides )

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16

JK + KL = JL , substitute values

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3x + 2 = 5x - 10 ( subtract 3x from both sides )

2 = 2x - 10 ( add 10 to both sides )

12 = 2x ( divide both sides by 2 )

6 = x

Thus

JK = 2X = 2 × 6 = 12

KL = x + 2 = 6 + 2 = 8

JL = 5x - 10 = 5(6) - 10 = 30 - 10 = 20

------------------------------------------------------------

17

Calculate the distance d using the distance formula

d = \sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2    }

with (x₁, y₁ ) = S(7, 3) and (x₂, y₂ ) = T(1, - 5)

d = \sqrt{(1-7)^2+(-5-3)^2}

   = \sqrt{(-6)^2+(-8)^2}

   = \sqrt{36+64}

   = \sqrt{100} = 10

3 0
3 years ago
Two men walk at rates of 6 mph and 10 mph, respectively. Simultaneously, they started from the same place walking waking in oppo
VladimirAG [237]

Answer:

12.5 hours :)

Step-by-step explanation:

Let after t hours , the two men are 200 miles apart

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And the distance traveled by the second man is 10 miles

So the equation is 6t+10t=200

Therefore after 12.5 hours, they are 200 miles apart.

P.S. Please give me brainliest!

6 0
1 year ago
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