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.
50(2) -2(20) +6 = ?
100 - 40 + 6 = ?
60 + 6 = ?
66
Answer:
the greatest common factor is 1.
Step-by-step explanation:
The factors of 3 are: 1, 3
The factors of 3 are: 1, 3
The factors of 4 are: 1, 2, 4
The factors of 5 are: 1, 5
The factors of 5 are: 1, 5
The factors of 17 are: 1, 17
Then the greatest common factor is 1.
<span>5,10,15,20,25,30,35,40,45,50,55,60 or 6,12,18,24,30,36,42,48,54,60,66,72</span>
Question
10 to the second power+6.7+8
Answer:
<h2>
114.7</h2>
Step-by-step explanation:
10² + 6.7 + 8 =
100 + 6.7 + 8 =
114.7
