So, Option C is the correct answer.
Hope this will help you.
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Answer:
=========
<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:
9 and a half
Step-by-step explanation:
the fewest number is 9.5 because thats the exact amount in hallways that he needs
Answer: Domain: x=-2. Range: -2<=y<1
Step-by-step explanation:
Domain: The line is only on one x-point and that is x=-2.
Range: The line is ranging form -2 to 1. However, y=1 is not included on the line but y=-2 is. Hence, the range is notated as -2<=y<1.
What you can do is subtract 1x from each side
Then you subtract 3 from each side
Then it tells you x=2
Always put what you think x is back into the problem and see if it works out
Example on how you do it:
(x+5)=(2x+3)
5=(x+3)
2=x
