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3 years ago

Subtract (7x^5-12x^2y+33y^2) from (5x^5-5x^2y+9y^2) simplify your results:

Mathematics

1 answer:

hoa [83]3 years ago

6 0

Answer:

- 2 $x^{5}$ + 7x²y - 24y²

Step-by-step explanation:

( 5 $x^{5}$ - 5x²y + 9y² ) - ( 7 $x^{5}$ - 12x²y + 33y² ) =

5 $x^{5}$ - 5x²y + 9y² - 7 $x^{5}$ + 12x²y - 33y² =

( 5 $x^{5}$ - 7 $x^{5}$ ) + ( - 5x²y + 12x²y ) + ( 9y² - 33y² ) =

- 2  $x^{5}$  + 7x²y - 24y²

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A plane traveled 240 miles. The trip was with the wind. It took 3 hours. The trip back was into the wind. The trip back took 6 h

sveta [45]

Answer:

Plane speed is 60 miles/hour

Wind speed is 20 miles/hour

Step-by-step explanation:

Lets suppose the speed of the plane in still air is s and speed of the wind is w and since speed in the formula below equals speed of the plane plus the wind's speed so speed=s+w for this journey with the wind

$Speed=\frac{Distance}{Time}$

$Distance=Speed*Time$

For the first journey the trip with the wind:

$Distance=Speed*Time\\240=(s+w)(3)\\240/3=s+w\\s+w=80$

Here we got our first equation for the second equation we use the information from the second trip which was into the wind. Which means the speed here would be speed=s-w

$Distance=Speed*Time\\240=(s-w)*6\\240/6=s-w\\s-w=40$

so now we got our two equations adding both equations would result into the following:

$s+w=80\\s-w=40\\2s=120\\s=60$

so speed of the plane is 60 miles/hour put the value of s in any our two equations to calculate the wind speed, lets take the first equation:

$s+w=80\\60+w=80\\w=80-60\\w=20$

so the wind speed is 20 miles/hour

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3 years ago

Provide a proof the Pythoigorean Themore.

Tema [17]

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4 years ago

The graph shows the number of Wilmbeldon championships of several countries. Write the ratio the championships won by the Austra

Hoochie [10]

If I am reading this correctly...the ratio would be
Austalia championships: the total of countries championships

for example australia = 18 and the other countries have 300
ratio would be 18:300 or 18/300

Then simplify 3:50 or 3/50

Hope this was helpful!

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4 years ago

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AlekseyPX

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3 years ago

2 7/9 × 1 1/5 ÷ 2 1/2

Anna007 [38]

Answer