Find the slope of the line described by 28x −12y + 50 = 0. 5/2 4/3 7/3 5/4
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Answer:
y= -2x -8
Step-by-step explanation:
I will be writing the equation of the perpendicular bisector in the slope-intercept form which is y=mx +c, where m is the gradient and c is the y-intercept.
A perpendicular bisector is a line that cuts through the other line perpendicularly (at 90°) and into 2 equal parts (and thus passes through the midpoint of the line).
Let's find the gradient of the given line.
Gradient of given line
The product of the gradients of 2 perpendicular lines is -1.
(½)(gradient of perpendicular bisector)= -1
Gradient of perpendicular bisector
= -1 ÷(½)
= -1(2)
= -2
Substitute m= -2 into the equation:
y= -2x +c
To find the value of c, we need to substitute a pair of coordinates that the line passes through into the equation. Since the perpendicular bisector passes through the midpoint of the given line, let's find the coordinates of the midpoint.
Midpoint of given line
Substituting (-3, -2) into the equation:
-2= -2(-3) +c
-2= 6 +c
c= -2 -6 <em>(</em><em>-</em><em>6</em><em> </em><em>on both</em><em> </em><em>sides</em><em>)</em>
c= -8
Thus, the equation of the perpendicular bisector is y= -2x -8.
3u + 4u + 2u = 9u
9u = 90
1u = 90/9 = 10
since black is 2u ( from the ratio given)
2u = 10 x 2 = 20
Answer : 20cm of the pole is painted black.
The bar diagram is in the picture :)
9u = 90
1u = 90/9 = 10
since black is 2u ( from the ratio given)
2u = 10 x 2 = 20
Answer : 20cm of the pole is painted black.
The bar diagram is in the picture :)