Answer:
B) 2x - 12x - 18 = 8
Step-by-step explanation:
2x - 3y = 8
If y = 4x - 6, then substitute and solve:
2x - 3(4x - 6) = 8
2x - 12x - 18 = 8
10x - 18 = 8
10x = 8 + 18
10x = 26
x = 26/10
x = 2.6
y = 4(2.6) - 6
y = 10.4 - 6
y = 4.4
=(8)(3.4)+13.812
=27.2 + 13.812
=41.012
the Answer is 41.012
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.
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