To find a perpendicular line you first need to see the equation in slope intercept form. To do that you need to solve for y.
2x - 5y = 20 ---> subtract 2x from both sides
-5y = -2x + 20 ---> divide by -5
y = 2/5x - 4
Now that you have this, note that a perpendicular line has opposite and reciprocal slope. Since the slope in our equation is 2/5, that means the new line will have -5/2 slope. So we use the point given and the slope to find the y intercept.
y = mx + b
-8 = -5/2(7) + b ---> multiply
-8 = -35/2 + b ---> add 35/2 to both sides
19/2 = b
Now use our new slope and new y intercept to write the new equation.
y = -5/2x + 19/2
Answer:
The answer is
<h2>2( x + 3)(x - 5)</h2>
Step-by-step explanation:
To factor the expression
2x² - 4x - 30
<u>First factor 2 out of the expression</u>
That's
2( x² - 2x - 15)
<u>Next write - 2x as a difference</u>
2( x² + 3x - 5x - 15)
<u>Factor out x from the expression</u>
That's
2 [ x( x + 3) - 5x - 15 ]
<u>Factor out </u><u>-</u><u>5 from the expression</u>
2 [ x ( x + 3) - 5( x + 3) ]
<u>Factor out x+3 from the expression</u>
We have the final answer as
<h3>2( x + 3)(x - 5)</h3>
Hope this helps you
Answer:
A dollar
Step-by-step explanation:
7+3 is 10
3 divided by 1 is 3
Acceleration: 
Step-by-step explanation:
For an object in uniformly accelerated motion, we can use the so-called SUVAT equations.
One of them is:
where
s is the displacement
v is the final velocity
t is the time
a is the acceleration
Here we want to re-arrange the equation to find the acceleration. We start by adding 
on both sides of the equation:
Now we change sign on both sides:
And finally we multiply by 2 and divide by 
on both sides, so we get:
Learn more about accelerated motion:
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