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Reika [66]
4 years ago
13

Can someone please help me!!

Mathematics
1 answer:
natita [175]4 years ago
8 0
The standard form for a linear equation is y = mx + b where m is the slope and b is the y - intercept. Given the slope 2 and the y - intercept 3, you can fill the blanks in: y = 2x + 3. Does this help?
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Line AOB is a straight line.
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It is not 1,2,3

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How many solutions does the following system of equations have?
sleet_krkn [62]
There is only solutions to the systems of equations - y = x -2 & y = -x + 2. We can find this by looking at the slopes of each line, which is 1 and -1. They are not negative reciprocals or the same exact slope, which would give the system of equations no solutions. Since the lines are not exactly the same, the system does not have infinitely many solutions. A system of LINEAR equations cannot have two solutions, giving us an answer of only one solution. Hope this helps!
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4 years ago
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How to solve 2x(x+3)=2x^2+15
Travka [436]

Answer: x = 5/2 = 2.5

Step-by-step explanation:

<u>Given expression</u>

2x (x + 3) = 2x² + 15

<u>Expand parentheses and apply the distributive property</u>

2x · x + 2x · 3 = 2x² + 15

2x² + 6x = 2x² + 15

<u>Subtract 2x² on both sides</u>

2x² + 6x - 2x² = 2x² + 15 - 2x²

6x = 15

<u>Divide 6 on both sides</u>

6x / 6 = 15 / 6

x = 15/6

\boxed{x=\frac{5}{2} }

Hope this helps!! :)

Please let me know if you have any questions

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