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maksim [4K]
2 years ago
6

What is y=1/2x+4 in standard form?

Mathematics
1 answer:
zhuklara [117]2 years ago
8 0
<h3>Answer:  x-2y = -8</h3>

===========================================

Explanation:

Multiply both sides by 2 to clear out the fraction

y = (1/2)x+4

2y = 2[ (1/2)x + 4 ]

2y = 2*(1/2)x + 2*4

2y = x + 8

Then move the x term over to the left side

2y = x+8

2y-x = 8

-x+2y = 8

Optionally we can multiply both sides by -1

-x+2y = 8

-1*(-x+2y) = -1*8

x-2y = -8

This is in standard form Ax+By = C with A = 1, B = -2, C = -8

The reason why I multiplied both sides by -1 was to make A > 0 which is what some textbooks use as convention. Of course -x+2y = 8 is equally valid too.

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lubasha [3.4K]
I typed this into demos and got that the lines intersected at (-2,2)
4 0
2 years ago
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lutik1710 [3]

so it will end up at 6y-6

you need to combine everything that does not have an exponent (example. a, x, y) and you combine the ones that have exponents together. and therefore you get 6y-6 (remember positive and negative signs)

8 0
2 years ago
How do you solve the equation x - 5(x - 1) = x - (2x - 2) please explain each step
Anastaziya [24]

Answer:

1 = x

Step-by-step explanation:

x-5(x-1) = x-(2x-2)

First, you distrubute your numbers. On the left side, multiply the parentheses by '5', and on the right side multiply the perentheses by '-1'. It should look something like this:

x-5x+5 = x-2x+2

Now, you need to combine like terms. On the left side combine the 'x' and the '-5x'. On the right side combine the 'x' and the '-2x'. It should now look like this:

-4x+5 = -x+2

You need to isolate your variable. Working with positive variables is preferable and can decrease chances of confusion, so add '4x' to both sides, therefore canceling the '-4x' on the left and moving it to the right. It will now look like this:

5 = 3x+2

Subtract '-2' from both sides to get the '3x' by itself. It looks like this:

3 = 3x

For the final step, you want the x by itself. To do this, divide both sides by '3'. This will effectively cancel the '3' on the right side, moving it away from your variable. Your equation should end up being this:

1 = x

Hope this helps!

6 0
3 years ago
What is y= 6x^2 + 12x -10 in vertex form?
Bumek [7]
Vertex for  is a(x - b)^2 + c

first divide 6x^2 + 12x by 6  so we have

6(x^2 + 2x) - 10

now complete the square  on the expression in the brackets:-
= 6[ (x + 1)^2 - 1] -10
=6(x + 1)^2 - 6 -10
= 6( x+ 1)^2 - 16
5 0
2 years ago
Read 2 more answers
One number is four more than a second number. Two times the first number is 12 more than four times the second number. Solve.
exis [7]

One number is four more than a second number. Two times the first number is 12 more than four times the second number. Solve. the answer is 12

5 0
3 years ago
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