<span>5x= 6x^2 -3
</span><span>6x^2 -5x -3
a = 6
b = -5
c = -3
x = [-b +- sq root(b^2 -4ac)] / 2a
x = [--5 +- </span><span>sq root (25 -(4*6*-3)] / 12
</span><span>x = [5 +- sq root (25 + 72)] / 12
x = [5 + sq root (97)] / 12
x = 5 +- </span><span>9.84886] / 12
x1 = </span><span><span><span>1.237405
</span>
</span>
</span>
<span>
x2 = </span><span><span><span>-0.404072
</span>
</span>
</span>
Answer:
Step-by-step explanation:
Line is different from line segment or a ray. The given lines MR and XY are best described by: Option A: The lines intersect at a 90° angle.
To get to know about intersection of MR and XY, we need to know what a line is.
<h3>What is line, line segment and a ray?</h3>
- A line usually refers to infinite lenghted straight line in the Euclidean space.
- A line segment is a segment (of finite length) of a line.
- A ray is has fixed on endpoint, but it extends infinitely from the other endpoint, so no other endpoint at all.
<h3>When does two lines intersect?</h3>
If they are not parallel (having 0 degree angle between each other) and not coincident (not lying over each other), then those two lines always intersect.
Since the considered lines MR and XY are said to be perpendicular (having 90° angle between them, thus, they will intersect each other).
Therefore, the given lines MR and XY are best described by: Option A: The lines intersect at a 90° angle.
Learn more about angle between two lines here:
brainly.com/question/24329241
Answer:
(-10,-10)
Step-by-step explanation:
9x-9y=0
3x-4y=10
In elimination, we want both equations to have the same form and like terms to be lined up. We have that. We also need one of the columns with variables to contain opposites or same terms. Neither one of our columns with the variables contain this.
We can do a multiplication to the second equation so that the first terms of each are either opposites or sames. It doesn't matter which. I like opposites because you just add the equations together. So I'm going to multiply the second equation by -3.
I will rewrite the system with that manipulation:
9x-9y=0
-9x+12y=-30
----------------------Add them up!
0+3y=-30
3y=-30
y=-10
So now once you find a variable, plug into either equation to find the other one.
I'm going to use 9x-9y=0 where y=-10.
So we are going to solve for x now.
9x-9y=0 where y=-10.
9x-9(-10)=0 where I plugged in -10 for y.
9x+90=0 where I simplified -9(-10) as +90.
9x =-90 where I subtracted 90 on both sides.
x= -10 where I divided both sides by 9.
The solution is (x,y)=(-10,-10)
Answer:
Absolute difference between the medians = 0.35
Step-by-step explanation:
After arranging Q in ascending order excluding s, we get
Q = {1.1, 1.4, 1.7, 2.1, 2.3}
Here, the median is 1.7 ( The middlemost value is the required median.)
Now, if s < 1.7,
Q= {1.1, s, 1.4, 1.7, 2.1, 2.3}
Now for the least value, median = 1.55
If s > 1.7,
Q = {1.1, 1.4, 1.7, 2.1, s, 2.3}
Now for the greatest value, median = 1.9
Absolute difference between the medians = |1.9 -1.55|
= 0.35
