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anygoal [31]
3 years ago
9

If: AB= 2x + 6, AC = 51, and BC=6x +5, Find BC.

Mathematics
1 answer:
Marina86 [1]3 years ago
3 0

Answer:

<h3>Assuming A, B, and C are collinear and B is between A and C then BC = 35 </h3>

Step-by-step explanation:

Assuming A, B, and C are collinear and B is beetween A and C

AB + BC  = AC

2x + 6 + 6x + 5 = 51

 8x + 11 = 51

    8x = 40

     x = 5

BC = 6x+5 = 6×5 + 5 = 35

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Answer:

  x-intercept: (16, 0)

  y-intercept: (0, 8)

Step-by-step explanation:

Each intercept is found by setting the other variable to zero and solving for the variable of interest.

I like to find the intercepts from this form because it basically involves dividing the constant by the variable coefficient.

<u>x-intercept</u>

  y = 0, so we have 4x = 64   ⇒   x = 64/4 = 16

  x-intercept is (16, 0)

<u>y-intercept</u>

  x = 0, so we have 8y = 64   ⇒   y = 64/8 = 8

  y-intercept is (0, 8)

_____

<em>Additional comment</em>

There is a form of the linear equation called the "intercept form" that looks like this:

  x/a +y/b = 1

where 'a' is the x-intercept and 'b' is the y-intercept.

You can get this form by dividing the standard form equation by the constant. Here, that gives ...

  4x/64 +8y/64 = 1

  x/16 +y/8 = 1

This is nice because it gives both intercepts with one operation (divide by the constant). It's easy enough to do, but not always easy to explain. This form of the equation of a line is rarely seen.

5 0
2 years ago
Graph y=2x+1 on a number line<br> Will give brainliest if right.
sdas [7]
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8 0
3 years ago
Which of the following points is a solution to the system of inequalities?HURRY ITS MY EXAM
vazorg [7]

Answer:

THANKS FOR THE FREE POINTS!

Step-by-step explanation:

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8 0
3 years ago
Find the distance between the points (1,8) and (9, 2).
grin007 [14]

Answer:

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

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6 0
3 years ago
What is 2/5% of 820?<br><br> 1.8<br><br> 2.05<br><br> 2.88<br><br> 3.28
Margarita [4]

Answer:

D) 3.28

Step-by-step explanation:

820/x=100/2.5

(820/x)*x=(100/2.5)*x       - we multiply both sides of the equation by x

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820/40=x

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x=20.5

now we have:

2.5% of 820=20.5

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3 years ago
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