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Kaylis [27]
3 years ago
9

Rewrite the slope intercept equation of the line y = 2x + 5 in standard form. A) 2x - y = -5 B) 2x + y = 5 C) -2x - y = -5 D) 2x

+ y = -5
Mathematics
1 answer:
goldenfox [79]3 years ago
3 0

Answer:

(A) 2x-y=-5

Step-by-step explanation:

Slope intercept form of equation of line is y = mx+c \ where\ m\ is \ slope

The standard form of equation is Ax + By + C = 0

Now let m=\frac{A}{B}therefore, m =\frac{2}{1}\ which\ gives\ A = 2and\ B = 1  

substituting the value of A and B  in slope intercept form,

y = \frac{A}{B} x+5\\\y = \frac{2}{1} x+ 5\\By\ simplifying,\\1y = 2x + 5\\on\ rearranging\ the\ above\ equation \\2x-y=-5\\which\ gives\ a\ standard\ form\ of\ equation\ Ax +By +C= 0\ where\ A= 2,\ B= (-1)\ and\ C = 5

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If <br> B is the midpoint of AC, AB=x+6 and AC=5x-6, then what is BC?
nikklg [1K]

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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3 years ago
-4/9x=16/27 alguien que me ayude
Andre45 [30]
<h3>Answer</h3>

First multiply everything by 27

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