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mario62 [17]
3 years ago
13

Please help me with 1,2,3 and show me how you get it the answers and how you get it do not send me link please I need help someo

ne help me is an important homework

Mathematics
1 answer:
elena-s [515]3 years ago
8 0

Answer:

1) 20 cm

2) 22.4 in

3) 15 ft

Step-by-step explanation:

For this question, you have to use the <u>Pythagorean theorem.</u>

Why?

Well, because it is a <u><em>right triangle</em></u> and you have <u><em>2 sides given</em></u> and you want to find the third side.

Now let's solve this problem!

<u>For number 1 we have:</u>

a = 16 cm and B = 12 cm

you need to find the 3rd side which is c (aka the hypothenuse)

so let's write the equation:

a^2 + b^2 = c^2

Then we substitute with what we have given.

16^2 + 12^2 = c^2

Using a calculator solve the equation

400 = c^2

Now we have to find the square root from both sides of the equation.

c = 20 cm (That's the final answer)

<u>For number 2 we have:</u>

a = 10 in and b = 20 in

we follow the same steps as in number 1

a^2 + b^2 = c^2

10^2 + 20^2 = c^2

500 = c^2

c = 22.4 in (That's the final answer)

<u>For number 3 we have:</u>

a = 9 ft and b = 12 ft

a^2 + b^2 = c^2

9^2 + 12^2 = c^2

225 = c^2

c = 15 ft (That's the final answer)

<u></u>

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Step-by-step explanation:

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In our case, the quadratic expression that generates the parabola is:

y=-2x^2+24x+174

then the x-position of its vertex is:

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This is the price of the video game that produces the maximum profit (x = $6). Now let's find the y-position of the vertex using the actual equation for this value of x:

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This value is the highest weekly profit (y = $246).

Now, recall that we can write the equation of the parabola in what is called "vertex form" using the actual values of the vertex position (x_{vertex},y_{vertex}):

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Therefore the answer is:

y=-2\,(x-6)^2+246

with the video game cost of x = $6

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