Answer:
A. -10
Step-by-step explanation:
Hi there!
We are given that the equation of line m is , and we want to find the slope of the line perpendicular to m
Perpendicular lines have slopes that multiply to get the result of -1
So let's find the slope of line m
The equation is written in the form y=mx+b, where m is the slope, and b is the y intercept
As is in the place of where the slope should be, is the slope
Now find the slope of the perpendicular line with this formula:
In that case,
Multiply both sides by 10
So the slope of the perpendicular line is -10, or A
Hope this helps!
This is the same as saying (6x^2)^3. We can take the derivative using the chain rule. With the chain rule, you multiply by the power, decrease the power by 1, and multiply by the derivative of the inside.
3(6x^2)^2*12x
or
36x*(6x^2)^2
Hope this helps<span />
Answer:
Divide the length (in) by 36 the length of 1 yard
Step-by-step explanation:
Intersection is what point satisfies both equaitons
divide second equation by 2 for simplificy
2x-y=8
oh dear, we got the same equation
therefor they are the same line
infinitely many points
anywhere on the line 2x-y=8
some points are
(4,0)
(5,2)
anywhere on the line 2x-y=8
Answer:
x = -9, y = 8
or,
(-9, 8)
Explanation:
Equation 1: 2x + 3y = 6
Equation 2: 4x - y = -44
To solve by substitution, make y subject for equation 2.
4x - y = -44
-y = -44 - 4x
y = 4x + 44
Substitute this y value into equation 1.
2x + 3(4x + 44) = 6
2x + 12x + 132 = 6
14x = 6 - 132
14x = -126
x = -9
Now, find y value:
y = 4x + 44
y = 4(-9) + 44
y = 8
To check for solution, insert x and y value in either equations.
2x + 3y = 6
insert values
2(-9) + 3(8) = 6
6 = 6
Hence, the solution is correct as both sides equal.