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3 years ago

If y is directly proportional to x and y = -15 when x=3 find the value of y when x is 20?

1 answer:

5 0

Answer: y = 2

Explanation:

When x = 3, y = -15

And x and y are directly proportional.

thus x + k ==> y + k

when x = 3 + 17 ==> y = -15 + 17

=> x = 20 ==> y = 2

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3 years ago

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Answer:

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3 years ago

After studying the diagram shown, Michael makes the following conclusions:

inn [45]

Answer:

Therefore, Michael concludes option C)

C) $(DA)^{2}=(DG)^{2}+(AG)^{2}$

Step-by-step explanation:

Given:

1. DG = 3 and the area of square DEFG is 9.

2. AG = 4 and the area of square GHIA is 16.

3. DA = 5 and the area of square ABCD is 25.

So we have,

$(DG)^{2}=3^{2}=9\\ \\(AG)^{2}=4^{2}=16\\\\(DA)^{2}=5^{2}=25\\$

Now Add DG² and AG² we get

$(DG)^{2}+(AG)^{2}=9+16=25=(DA)^{2}$

Which is also called as Pythagoras theorem i.e

$(\textrm{Hypotenuse})^{2} = (\textrm{Shorter leg})^{2}+(\textrm{Longer leg})^{2}$

Therefore, Michael concludes option C)

C) $(DA)^{2}=(DG)^{2}+(AG)^{2}$

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3 years ago