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jek_recluse [69]
3 years ago
13

Find the roots of the parabola given by the following equation 2x^2+5X-9=2x

Mathematics
1 answer:
natta225 [31]3 years ago
7 0

Answer:

x=-3\:or\:x=\frac{3}{2}

Step-by-step explanation:

The given parabola has equation

2x^2+5x-9=2x

We rewrite in standard form to obtain:

2x^2+5x-2x-9=0

2x^2+3x-9=0

Split the middle terms to get:

2x^2+6x-3x-9=0

Factor by grouping:

2x(x+3)-3(x+3)=0

(x+3)(2x-3)=0

x=-3\:or\:x=\frac{3}{2}

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Answer:

y-1=5(x+6)

Step-by-step explanation:

Point slope:

(y-y1)=slope(x-x1)

y-1=5(x+6)

Hope this helps!

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The graph of a system of equations shows the solution to be at (-6, 2). Which two of the following equations could
blondinia [14]

Answer:

Step-by-step explanation:

The graph shows the solution (-6,2)

i.e at x= -6 y=2

Analysis of each of the answers, since we can't write the equation of a straight line with only that information i.e the single point

Then,

Option 1

1. 2x - 3y = -6

x= -6 y=2

Then let insert x=-6 and y =2

2(-6)-3(2)

-12-6

-18.

Since -18 ≠ -6, then this is not the equation of the line and doesn't make up the system

Option 2

2. 4x - y = 26

Inserting x=-6 and y=2

4(-6)-(2)

-24-2

-26

Since -26 ≠ 26, then this is not the equation of the line and doesn't make up the system

Option 3

3. 3x + 2y = -14

Inserting x=-6 and y=2

3(-6)+2(2)

-18+4

-14

Since -14 ≠ -14 then this is the equation of the line and it make up the system.

Option 4

x-y = -2

Inserting x=-6 and y=2

(-6)-(2)

-6-2

-8

Since -8≠ -2, then this is not the equation of the line and doesn't make up the system

Option 5

5. x+y=-4

Inserting x=-6 and y=2

(-6)+(2)

-6+2

-4

Since -4 ≠ -4, then this is the equation of the line and it makes up the system.

Then, there are two option that make up the system

3. 3x + 2y = -14

And

5. x+y=-4

4 0
3 years ago
Solve by substitution <br>-4x-2y=-12 <br>4x+8y=-24
kykrilka [37]
I hope this helps you



-4x-2y+4x+8y= -12-24



6y= -36


y= -6



-4x-2. (-6)= -12


-4x+12= -12


-4x= -24


x=6


(6, -6)
5 0
3 years ago
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