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IgorC [24]
4 years ago
5

Find all solutions to the system

Mathematics
1 answer:
lara31 [8.8K]4 years ago
8 0

Answer:

x=-3\\y=5\\\\(-3,5)

Step-by-step explanation:

Make both equations equal, as following:

y=y\\x^{2}+12x+32=6x+23

Add like terms:

x^{2}+12x+32-6x-23=0\\x^{2}+6x+9=0

Factor it as following:

(x+3)^{2}=0

Then:

x=-3 (Double root)

Substitute this into the second equation to obtain y:

y=6(-3)+23\\y=5

Then the solution is:

x=-3\\y=5\\\\(-3,5)

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What’s the answer to this?
jeka57 [31]

Answer:

y=3/2x+0

Step-by-step explanation:

The formula for slope intercept form formula is y=mx+b where m is the slope and b is the y intercept and since the slope is rise over run ( or rise/run just put it into fraction form) we count from the y intercept up until we can see the line reach a point where it touches a actual cross point ( in this case from the y intercept we see it goes up three) Then we count over how many to that cross point ( the full point, not just a random place on the chart) (in this case 2) and that creates 3/2. Now for the y intercept. Where does the line intercept the vertical line? That's your y intercept. In this case it's 0. Now you can see where we count up from three ( for the slope) and over two. Right onto that point. Hope this makes sense! If not look up Khan academy for some extra tutoring that is free.

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8 0
3 years ago
Alejandra correctly wrote the equation y – 3 = y minus 3 equals StartFraction 1 Over 5 EndFraction left-parenthesis x minus 10 r
Delvig [45]

Answer:

  y – 3 = 2(x – 10)

Step-by-step explanation:

In point-slope form, the equation is written ...

  y -k = m(x -h) . . . . . . . for line with slope m through point (h, k)

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  y -3 = 2(x -10)

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3 years ago
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