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Musya8 [376]
3 years ago
5

If B is the midpoint of AC, AB=x+6 and AC=5x-6, then what is BC?

Mathematics
1 answer:
nikklg [1K]3 years ago
7 0

If B is the midpoint of AC, then AB=BC. It is also BC=AC-AB

AB = x + 6

AC = 5x - 6

BC = (5x - 6) - (x + 6)

We can kinda use distributive property, like this:

BC = 5x - 6 -x - 6

Combine like terms:

BC = 4x - 12

To verify, we can add AB and BC to see if their sum is equal to AC.

(x + 6) + (4x - 12) = 5x - 6

If we are correct, this equation will be true.

x + 6 + 4x - 12 = 5x - 6

Combine like terms:

6 + 5x - 12 = 5x - 6

5x - 6 = 5x - 6

It's correct!

BC = 4x - 12. Final Answer.

Let me know if you have any questions about this! :)

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<h3>Answer:</h3>

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<h3>Step-by-step explanation:</h3>

It is perhaps easiest to simply try the equations to see which one works.

For x=0, there are two different kinds of answers:

... A and C: -y = 4

... B and D: y = 4

Since we know y=4 when x=0 (from the point (0, 4)), we can eliminate choices A and C.

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Using the point (1, 1), you can try choices B and D to see which works:

... B: 3·1 +1 = 4 . . . . true (put 1 where x and y are in the equation)

... D: -3·1 +1 = -2 = 4 . . . . false

The appropriate choice is the equation of B: 3x +y = 4.

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<em>Derive the equation from the given points</em>

There are several ways you can derive the equation. Since you have the y-intercept (the point with x=0), you can use the slope-intercept form to start.

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We know the y-intercept (b) is 4, so the slope-intercept form of the equation is ...

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... y = -3x +4

Adding 3x puts this in standard form:

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3 0
3 years ago
Is 8 out of 40 students pink pizzas for lunch today what percentage Pig pizza
cluponka [151]
All you have to do is divide the numerator by the denominator and then multiply that result with 100 like so:

(Numerator/Denominator)*100

When you enter 8/40 into the above formula, you get (8/40)*100 which calculates to: 

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6 0
3 years ago
5y^2-6y-11-6y^2+2y+5
shusha [124]

Answer:

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Step-by-step explanation:

Step 1: Write expression

5y² - 6y - 11 - 6y² + 2y + 5

Step 2: Combine like terms (y²)

-y² - 6y - 11 + 2y + 5

Step 3: Combine like terms (y)

-y² - 4y - 11 + 5

Step 4: Combine like terms (constants)

-y² - 4y - 6

6 0
3 years ago
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IgorLugansk [536]

Answer:

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Step-by-step explanation:

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