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igomit [66]
3 years ago
13

What is the equation of a line that is parallel to -2x+3y=-6 and passes through the point (-2,0)

Mathematics
1 answer:
mr_godi [17]3 years ago
4 0
First, a line that is parallel, means a line that has the same slope as the original. To find the slope of the original equation, we have to solve for y.
-2x+3y=-6
3y=2x-6
y=2/3x-2
From this equation, we can see that the slope of the line is 2/3. For every 2 units you go up, you move three units over.

Now we need to use the point (-2,0) to find the equation of the parallel line. 
y-y=m(x-x)

Plug in the point coordinates and the slope, and solve for the final equation of the line.
y-0=2/3(x+2)
y=2/3x+ 4/3
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What are the solutions of the quadratic equation 49x^2=9?
Flauer [41]
<span>Simplifying 49x^2 + -9 = 0
Reorder the terms: -9 + 49x^2 = 0
Solving -9 + 49x^2 = 0 Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '9' to each side of the equation. -9 + 9 + 49x^2 = 0 + 9
Combine like terms: -9 + 9 = 0 0 + 49x^2 = 0 + 9 49x^2 = 0 + 9
Combine like terms: 0 + 9 = 9 49x^2 = 9
Divide each side by '49'. x^2 = 0.1836734694
Simplifying x^2 = 0.1836734694
Take the square root of each side: x = {-0.428571429, 0.428571429}

hope this helps!!</span>
5 0
3 years ago
What is value of 5.872 + (-0.84) ÷2.1
Lerok [7]

Answer: The answer is 5.472


Step-by-step explanation:

-0.84 ÷ 2.1 = -0.4

-0.4 + 5.872 =  <em>5.472</em>


6 0
3 years ago
Write RS in component form, with R(7, 8) and S(0,5),
german

Answer:

<-7,-3>

Step-by-step explanation:

To write RS in component form we need to know how far to move over horizontally and then how many to move vertically.

Since horizontal movement is the x values, we subtract the x values of R and S first.

0 - 7 = -7

Since vertical movement is in the y values we subtract those next.

5 - 8 = -3

So written in component form we have <-7,-3>

4 0
3 years ago
Read 2 more answers
If F(x) = 9x, which of the following is the inverse of Fx)?
Arturiano [62]

Answer:

F⁻¹(x) = x/9

Step-by-step explanation:

To find the inverse of a function, you want to switch x and y in the equation and solve for y.

F(x) = 9x

x = 9F(x)

x/9 = F⁻¹(x)

Therefore, the inverse is F⁻¹(x) = x/9.

5 0
3 years ago
Please this is a test
amid [387]
5

you use the formula a^2+b^2=c^2

a=3, b=4

3*3=9 and 4*4=16

16+9=25

square root of 25 is 5.


5 is the answer
7 0
3 years ago
Read 2 more answers
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