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romanna [79]
2 years ago
6

write an equation of the line passing through the point (6,3) that is perpendicular to the line 5x - 6y = 10​

Mathematics
1 answer:
Jlenok [28]2 years ago
3 0

Answer:

5x-6y-12=0

Step-by-step explanation:

...make y the subject y=-6/5x +2

...use the coefficient of x as the gradient,m=-6/5

...for a perpendicular line,find the negative reciprocal of the gradient,5/6

...sub into the eqn y= -1/m(x-a)+b

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Montano1993 [528]

Answer:

80 cm

Step-by-step explanation:

The diagonals divide the rhombus into four congruent triangles.  The height of each triangle is 18/2 = 9, and the hypotenuse is 41.  Using Pythagorean theorem, the width of each triangle is:

c² = a² + b²

41² = 9² + x²

x = 40

Therefore, the longer diagonal is 2×40 = 80.

5 0
2 years ago
Determine the equation of the line passing through the points (3,1) and (5,−1).
katrin [286]

Answer:

y=-x+4

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(-1-1)/(5-3)

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y-1=-x+3

y=-x+3+1

y=-x+4

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2 years ago
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harkovskaia [24]

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