Answer:
.125
Step-by-step explanation:
4 is one-eighth (1/8) of 32, which would be represented by the decimal .125 or 0.125
Answer:
The lines don't intercept
Step-by-step explanation:
we have
isolate the variable y
Divide by 3 both sides
simplify
-----> equation A
Isolate the variable y
Divide by 6 both sides
simplify
-----> equation B
Compare equation A and equation B
The slopes are the same and the y-intercepts are different
Remember that
If two lines has the same slope, then the lines are parallel
therefore
In this problem line A and line B are parallel lines
The system of equations has no solution, because the lines don't intercept
complete question:
Find the volume of the cylinder.
Either enter an exact answer in terms of π or use 3.14 for π and round your final answer to the nearest hundredth.
Radius = 4 and height = 8.
Answer:
volume of a cylinder ≈ 402.30 unit cube
Step-by-step explanation:
The question you to find the volume of a cylinder with a height of 8 and radius of 4. The volume of a cylinder can be represented below
volume of a cylinder = πr²h
where
h = height
r = radius
h = 8
r = 4
volume of a cylinder = πr²h
volume of a cylinder = π × 4² × 8
volume of a cylinder = π × 16 × 8
volume of a cylinder = 128 π
volume of a cylinder = 128 × 3.143
volume of a cylinder = 402.304
volume of a cylinder ≈ 402.30 unit cube
Answer:
40
Step-by-step explanation:
14/35 = f/100
35f = 14 x 100
f = 14 x 100 /35
f = 40
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.
