Answer:
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<h2>Given</h2>
<h3>Line 1</h3>
<h3>Line 2</h3>
- Passing through the points (4, 3) and (5, - 3)
<h2>To find</h2>
- The value of k, if the lines are perpendicular
<h2>Solution</h2>
We know the perpendicular lines have opposite reciprocal slopes, that is the product of their slopes is - 1.
Find the slope of line 1 by converting the equation into slope-intercept from standard form:
<u><em>Info:</em></u>
- <em>standard form is ⇒ ax + by + c = 0, </em>
- <em>slope - intercept form is ⇒ y = mx + b, where m is the slope</em>
- 3x - ky + 7 = 0
- ky = 3x + 7
- y = (3/k)x + 7/k
Its slope is 3/k.
Find the slope of line 2, using the slope formula:
- m = (y₂ - y₁)/(x₂ - x₁) = (-3 - 3)/(5 - 4) = - 6/1 = - 6
We have both the slopes now. Find their product:
- (3/k)*(- 6) = - 1
- - 18/k = - 1
- k = 18
So when k is 18, the lines are perpendicular.
Answer: 7,308
Step-by-step explanation: 28 X 9 = 252
252 X 29 = 7,308
Answer:
Step-by-step explanation:
Total pencils = 48
Total erasers = 72
If we put 1 pencil and 1.5 eraser in each pouch then total pouches = 48 pouches
Answer:
this has happened to me before. unfortunately I had to refresh the page.
Step-by-step explanation:
write down the answers you already have done.
To find the cost of labor for one worker, you multiply the wage by the number of hours worked.
40 * 8 = 320
Because there are two workers, now you double it.
320 * 2 = 640
To find the percentage of the revenue that this is, you do the labor cost divided by the revenue.
640 / 2000 = 0.32
Move the decimal two places to the right to get the percentage.
0.32 = 32%
The labor cost is 32% of the revenue.
