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4 years ago

If y varies directly as x, what is the value of y in these ordered pairs? (5, 8) and (10, y)

2 answers:

5 0

Direct variation describes - roughly - a relationship between two values where <em>scaling one value will scale the other by the same amount</em>. The x value <em>doubles </em>as it goes from 5 to 10, and since y varies directly as x, we can double the old y value to get the new one as well. Since the old y value is 8, our new y value should be 8 x 2 = 16.

S_A_V [24]4 years ago

3 0

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3 years ago

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3 years ago

One number is 6 more than anouther number. the sum of their squares is 90

Flura [38]

Let x = greater number
      y = smaller number

(1) $x = y + 6
$
(1) $y = x-6$

(2) $x^{2} + y^{2} = 90$
We'll substitute y in (1) to (2)
(2) $x^{2} + (x-6)^{2} = 90$
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$
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x - 9 = 0 or x + 3 = 0
      x = 9 x = -3
and
y = x - 6 y = x - 6
y = 9 - 6 y = -3 - 6
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Therefore, the two numbers can be 9 and 3 or -3 and -9.

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4 years ago

Aiden is visiting the zoo on a field trip. While at the zoo, he sees a 10 foot tall adult elephant standing next to a 15 foot ta

bogdanovich [222]

Set up a ratio:

10 foot tall elephant / X shadow length = 15 foot tall statue / 18 foot shadow.

Cross multiply:

10 * 18 = X * 15

Simplify:

180 = 15x

Divide both sides by 15:

x = 180 / 15

x = 12

The elephants shadow was 12 feet long.

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3 years ago

given a storm has a destruction area in the shape of a square, give the total area affected if the side lengths of the square we

Aleksandr [31]

Answer:

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3 years ago