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3 years ago

Pls. Help me answer #3.

Mathematics

2 answers:

Akimi4 [234]3 years ago

7 0

The answer is y=1/2x

Gwar [14]3 years ago

4 0

Answer:

First find the gradient (m).

Pick any two points on x axis and their corresponding points on y axis in this format (x,y).
point 1 (10,5) and point 2 (20,10)
Gradient = (y2-y1) /(x2-x1)
= (10-5)/(20-10)
=5/10
Gradient (m)=1/2

Now that you know gradient, solve using either of the points you picked as shown below: Note pick a third in letters not numbers example point 3 (x,y)

Lets use point 1 (10,5) and point 3 (x,y).
Gradient = (y-5)/(x-10) : Note we already know gradient is 1/2
so, 1/2 = (y-5) / (x-10)
Rearranging and simplifying: y-5 = (1/2)(x-10)
y-5=(1/2 x) - 5
Add 5 to both sides
y-5+5=(1/2x)-5+5
y=1/2x+0

Final answer y=1/2x or y=0.5x

Step-by-step explanation:

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2. Consider triangle NKL. This is a right triangle, because KN ⊥ NM . In this triangle,

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$m\angle KLN=m\angle LNM=40^{\circ}$ (alternate interior angles)

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