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:
x^2 / 36 + y^2 / 25 = 1
Step by step:
The equation of the eclipse:
x^2/a^2 + y^2/b^2 = 1
a=6, b=5 / In the graph
Answer:
20
Step-by-step explanation:
2x - 5 = x + 15
2x - x = 5 + 15
x = 20
Divide by 5 each side
X+2=4
Subtract 2 from each side
X=2
5(2+2)=20
Does work
In algebra when isolating (leaving alone on one side) x, you do the opposite operation, thus multiplying when you are trying to get rid of a division and vice versa
Answer:
30.583
Step-by-step explanation:
