state whether the lines represented by the equations y=1/2x-1 and y+4=-1/2(x-2) are paraller, perdendicular, or neither
Answers
The lines represented by the equations y=1/2x-1 and y+4=-1/2(x-2) are neither parallel nor perpendicular.
What is an equation?
An equation is slope-interceptthat shows the relationship between two or more numbers and variables.
The first equation y=1/2x-1 is already in the slope intercept form. The slope is, 1/2, and the y-intercept is -1.
The second equation y+4=-1/2(x-2)
From this equation, the slope is -1/2 and the y-ina tercept is -3.
When two lines ara e parallel, they have the same slope. one has slope of 1/2 and the other has slope of -1/2 thus these are not the same our lines are not parallel.
When lines are perpendicular, the slope of one is the negative reciprocal of the other which is not satisfied in the given equations.
Thus, we conclude that the lines represented by the equations y=1/2x-1 and y+4=-1/2(x-2) are neither parallel nor perpendicular.
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The first equation,
The second equation requires rearranging.
From this equation, we can see that the slope is -1/2 and the y-intercept is -3.
When lines are parallel, they have the same slope. This is not the case with these lines because one has slope of 1/2 and the other has slope of -1/2. Since these are not the same our lines are not parallel.
When lines are perpendicular, the slope of one is the negative reciprocal of the other. That is, if one had slope 2, the other would have slope -1/2. This also is not the case in this problem.
Thus, we conclude that the lines are neither parallel nor perpendicular.
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Thanks
Answers
from base of triangle to wall=a
from floor to top of ladder on wall=b
legnth of ladder=c
legnth=12=c
base is 3 feet away=a
use pythagorean theorem
a^2+b^2=c^2
3^2+b^2=12^2
9+b^2=144
subtract 9
b^2=135
square root both sides
b=√135=3√15
the height is 3√15 feet
Answers
55-6 > -7v+6-6
49 > -7v
49/(-7) < (-7v)/(-7)
-7 < v
The equation of the line in standard form is
1.) 4x - 5y = -1
2.) 4x - 5y = 9
3.) 5x - 4y = 9
4.) 5x - 4y = -1
The x-intercept is
1.) -9/5
2.) -5/4
3.) 1/5
4.) 9/4
The y-intercept is
1.) -9/5
2.) -5/4
3.) 1/5
4.) 9/4
Answers
- The equation of the line in standard form is 4x - 5y = 9
- The x-intercept is 9/4
- The y-intercept is -9/5.
What is Slope?
A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the change in y coordinate with respect to the change in x coordinate as,
m = Δy/Δx where, m is the slope
Given:
Take points (1, -1) and (-4, -5)
so, slope of line
= -5 + 1 / (-4 -1)
= -4 /(-5)
= 4/5
So, the equation of line is
y+ 1= 4/5 ( x- 1)
y + 1 = 4/5x -4/5
y= 4/5x - 4/5 - 1
y= 4/5x - 9/5
4x - 5y = 9
So, the x- intercept is 9/4 and y- intercept is -9/5.
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Answer: equation= 4x-5y= 9
x intercept= 9/4
y intercept= -9/5
Step-by-step explanation: It was right on E2020
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Answer:
23.8 years
Step-by-step explanation:
85% can be written as 0.85
0.85 * 28 = 23.8 years