The equation of a line passing through point (4, -1) and perpendicular to the line whose equation is 2x - y - 7 = 0 is y = -1/2x + 1
<h3>Equation of a line</h3>
A line is the shortest distance between two points. The equation of a line in point-slope form and perpendicular to a line is given as;
y - y1 = -1/m(x-x1)
where
m is the slope
(x1, y1) is the intercept
Given the following
Point = (4, -1)
Line: 2x-y - 7 = 0
Determine the slope
-y = -2x + 7
y= 2x - 7
Slope = 2
Substitute
y+1 = -1/2(x -4)
Write in slope-intercept form
2(y + 1) = -(x - 4)
2y+2 = -x + 4
2y = -x + 2
y = -1/2 + 1
Hence the equation of a line passing through point (4, -1) and perpendicular to the line whose equation is 2x - y - 7 = 0 is y = -1/2x + 1
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Answer:
∠ULE = 60°
Step-by-step explanation:
The exterior angle marked 109° is the sum of the remote interior angles marked 49° and x.
109° = 49° + ∠ULE
∠ULE = 109° -49°
∠ULE = 60°
Answer:
4.71 minutes
Step-by-step explanation:
Incomplete question [See comment for complete question]
Given
Shape: Cone
-- radius
--- height
Required
Time to pass out all liquid
First, calculate the volume of the cone.
This is calculated as:
This gives:
To calculate the time, we make use of the following rate formula.
Make Time the subject
This gives:
Cancel out the units
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