Answer:
x and 2x+1
Step-by-step explanation:
<span>Simplifying:
2x2 + -8x + -90 = 0
Reorder the terms:
-90 + -8x + 2x2 = 0
Solving
-90 + -8x + 2x2 = 0
Solving for variable 'x'.
Factor out the Greatest Common Factor (GCF), '2'.
2(-45 + -4x + x2) = 0
Factor a trinomial.
2((-5 + -1x)(9 + -1x)) = 0
Ignore the factor 2.
Subproblem 1:
Set the factor '(-5 + -1x)' equal to zero and attempt to solve:
Simplifying
-5 + -1x = 0
Solving
-5 + -1x = 0
Move all terms containing x to the left, all other terms to the right.
Add '5' to each side of the equation.
-5 + 5 + -1x = 0 + 5
Combine like terms:
-5 + 5 = 0
0 + -1x = 0 + 5
-1x = 0 + 5
Combine like terms:
0 + 5 = 5
-1x = 5
Divide each side by '-1'.
x = -5
Simplifying
x = -5
Subproblem 2:
Set the factor '(9 + -1x)' equal to zero and attempt to solve:
Simplifying
9 + -1x = 0
Solving
9 + -1x = 0
Move all terms containing x to the left, all other terms to the right.
Add '-9' to each side of the equation.
9 + -9 + -1x = 0 + -9
Combine like terms:
9 + -9 = 0
0 + -1x = 0 + -9
-1x = 0 + -9
Combine like terms:
0 + -9 = -9
-1x = -9
Divide each side by '-1'.
x = 9
Simplifying
x = 9
Solution
x = {-5, 9}</span>
the answer is D. all of the above
The slope of a line that is perpendicular to another line is the negative reciprocal of the other.
In this case, we know that the slope of the given equation is 2.
Since we're solving for a line perpendicular to it, we simply find the reciprocal of the 2 (It turns into 1/2) and make it negative.
y = -1/2x + b
Since the given states that the new y-intercept is 10, input it into 'b'.
y = -1/2x + 10
If you'd like me to explain anything I did here, just ask :)
-T.B.
Answer: 1/2
When looking at a graph, you need to follow the formula rise/run. This means that between two points, you need to find the distance up and down/left and right.
Looking at points (0,2) and (2,3), I see that the second point is 1 point higher. Let’s add that in for rise.
Rise/run
1/run
Now for run. The second point is 2 points to the right of the first one. Let’s add that in.
1/2
This is your answer! Hope this helps comment below for more questions :)