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r-ruslan [8.4K]
3 years ago
5

Write the slope-intercept form of the line that has a slope of 2 and intersects the line, 2x - 3y = 6 at x = 3.

Mathematics
1 answer:
Mekhanik [1.2K]3 years ago
7 0
To write the equation of a line, we need 1) a point on the line 2) it's slope For the point, we just substitute in the equation of the line intersecting it with x=3 (because they share this point) Therefore, 2*3-3y=6 --> That gives y=0 Then the point is (x1,y1)=(3,0) We already have the slope : m=2 Now we should use this relation for the required line equation (y-y1) / (x-x1) = m Then (y-0) / (x-3) = 2 Then y = 2*x - 6 And that is the required form where 2 is the slope and -6 is the intercept
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Match the equation with the step needed to solve it.
Anuta_ua [19.1K]
Idkjdjdbsygsidvsy did s
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3 years ago
2x^{3}+30xx^{2} +72x=0 solve using zero product property
Goshia [24]

Answer:

Values of x are: x=0 or x=-3 or x=-12

Step-by-step explanation:

The equation given to solve using zero product property is 2x^3+30x^2+72x=0

Zero property rule states that if ab=0 then a=0 or b=0

Taking x common from the equation:

2x^3+30x^2+72x=0\\x(2x^2+30x+72)=0\\

Applying zero product rule

x(2x^2+30x+72)=0\\x=0 \ or \ 2x^2+30x+72=0

Now, solving 2x^2+30x+72=0

Using quadratic formula to find value of x

$x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$

Putting values

$x=\frac{-30\pm\sqrt{(30)^2-4(2)(72)}}{2(2)}$\\$x=\frac{-30\pm\sqrt{324}}{4}$\\$x=\frac{-30\pm18}{4}$\\$x=\frac{-30+18}{4} \ or \ x=\frac{-30-18}{4}$  \\x=-3 \ or \ x=-12

So, Values of x are: x=0 or x=-3 or x=-12

8 0
3 years ago
Solve the equation 7x-2(x-10)=40
bekas [8.4K]

Answer:

7

−

2

(

−

1

0

)

=

4

0

7x{\color{#c92786}{-2(x-10)}}=40

7x−2(x−10)=40

7

−

2

+

2

0

=

4

0

Step-by-step explanation: therefore your answer would be x=4  

BRAINLIEST PLEASE

5 0
2 years ago
Read 2 more answers
Please help me<br> Solve for JL
blagie [28]
We have JM=ML due to the relation between sides and angles
Set 3x+4 = 5x-16
=> x= 28/5
Substitute back to the equation ( either one would work be cause they are equal) : 3 ( 28/5) +4 = 20.8
We have JL = JM+ML
=> JL = 20.8+20.8 = 41.6
8 0
2 years ago
Read 2 more answers
Help pls thnk u ok what up guys im new
Mamont248 [21]

Answer:

I love this app welcome to the club

8 0
3 years ago
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