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Answer: perpendicular slope is -2/3</h3>
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Work Shown:
Solve the given equation for y
2y = 3x - 10
y = (3x-10)/2 ..... divide both sides by 2
y = (3x)/2 - 10/2
y = (3/2)x - 5
The equation is in y = mx+b form with m = 3/2 as the slope.
The perpendicular slope is -2/3 because we flip the fraction and the sign from positive to negative.
Note how multiplying the original slope 3/2 and the perpendicular slope -2/3 leads to -1
(3/2)*(-2/3) = -1
This is true for any pair of perpendicular lines, assuming neither line is vertical.
Answer:
(2/3)x - (1/5) y = 10. to solve for x in terms of y: (2/3)x - (1/5) y = 10. (2/3)x = 10 + (1/5)y. x = (10 + (1/5)y)(3/2). x = 15 + 3/10 y. if y = 0; x = 15. to solve for y in terms ...
Step-by-step explanation:
Answer:
y = 102, z = 67
Step-by-step explanation:
The angles 113 and z form a straight angle and are supplementary, thus
z = 180 - 113 = 67
The sum of the 4 interior angles of a quadrilateral = 360°
Sum the interior angles and equate to 360 for y
y + 102 + 89 + 67 = 360, that is
y + 258 = 360 ( subtract258 from both sides )
y = 102
1/3 - 1/6
= 2/6 - 1/6
= 1/6
so, 1/3 - 1/6 = 1/6