5/20 in simplest form
1) 5/20 can be divided by 5
5 ÷ 5 = 1
20 ÷ 5 = 4
It cant be divided any more
5/20 in simplest form is 1/4
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:
The Lcm is 42/
Step-by-step explanation:
Least common multiple (LCM) of 6 and 14 is 42.
Hope that helped.
Answer:
y = -2x + 5
Step-by-step explanation:
Assuming this is linear, the slope would be constant. For every 1 x, y decreases by 2. This means that the slope is -2.
y = -2x + b
Now all we need is the y-intercept.
If we plug in the first point (1,3), we get:
3 = -2*1+b
3 = -2+b
b = 5
This is the y-intercept.
y = -2x + 5
