The equation of the line WX is 2X plus Y equals -5 what is the equation of a line perpendicular to line WX in slope intercept fo
1 answer:
Answer:
Step-by-step explanation:
The equation of the line WX is, 2x + y = - 5
⇒ y = - 2x - 5 .......... (1)
This equation is in slope-intercept form and the slope is - 2 and the y-intercept is - 5.
Now, if a line perpendicular to equation (1) having slope m then, m × (- 2) = - 1
⇒
{Since the product of slopes of two mutually perpendicular straight line is - 1}
Therefore, the equation of the perpendicular line is
, where c is a constant and we have to find it.
This above line passes through the point (-1,-2) and hence
⇒
Therefore, the equation of the line will be (Answer)
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So, in order to solve this problem, I will set up an equation. First, let's make x= the # of hours it takes Mr. Itol to complete a computer task, and since his assistant takes twice as long, lets make 2x=the # of hours it takes the assistant to complete the task. We also know that it takes the two of them 6 hours to complete the task together. We can now set up the following equation:
Now, in order to be able to solve this, we have to find the least common denominator, and then we can cancel out the denominators to solve for the top part. The LCD=6x and the new equation becomes:
Now, we can get rid of the denominators, and we get:
So, x= 9
Now we know that Mr. Itol would take 9 hours to complete the task if he were to do it himself. To find how long it would take his assistant to complete the same task by himself, we just need to plug in the x-value into 2x:
Therefore, your answer is that Mr. Itol would take 9 hours to do the job alone, while his assistant will take 18 hours (double the time) to do the job alone.
Hope this helps :)
Now, in order to be able to solve this, we have to find the least common denominator, and then we can cancel out the denominators to solve for the top part. The LCD=6x and the new equation becomes:
Now, we can get rid of the denominators, and we get:
So, x= 9
Now we know that Mr. Itol would take 9 hours to complete the task if he were to do it himself. To find how long it would take his assistant to complete the same task by himself, we just need to plug in the x-value into 2x:
Therefore, your answer is that Mr. Itol would take 9 hours to do the job alone, while his assistant will take 18 hours (double the time) to do the job alone.
Hope this helps :)
Answer:
x ≈ 20.42, y ≈ 11.71
Step-by-step explanation:
Using the cosine ratio on the right triangle on the right, that is
cos20° = =
Multiply both sides by y
y × cos20° = 11 ( divide both sides by cos20° )
y = ≈ 11.71
Using the sine ratio on the right triangle on the left, that is
sin35° = =
=
Multiply both sides by x
x × sin35° = 11.71 ( divide both sides by sin35° )
x = ≈ 20.42