3 years ago

Simplify and show work

Mathematics

1 answer:

Minchanka [31]3 years ago

8 0

$4(x^2-3y^2)-2(3x^2-5y^2) \\4x^2-12y^2-6x^2+10y^2 \\-2x^2-2y^2$

Hope this helps.

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A cylinder has a volume of 288 pi cubic meters and a height of 9 meters. What is the area of the base?

Pavlova-9 [17]

Answer:

The area of the base is about 32 square meters

Step-by-step explanation:

V = pi times r^2 times h which is the formula.

Since the volume is 288, and the height is 9 it is,

288 = pi times r^2 times 9,

288/9 = pi times r^2 times 9/9

32/pi = pi/pi times r^2

10.2 = r^2

The square root of 10.2 is about 3.19

Area formula is pi times radius, r^2

3.19 times 3.19 or 3.19^2 = 10.1761

10.1761 times pi is 31.96 which is about 32 square meters.

I hope this helps!

5 0

3 years ago

Read 2 more answers

Write in standard form: y=2/3x+1

garri49 [273]

Standard form : Ax + By = C

y = 2/3x + 1
-2/3x + y = 1....multiply by -3
2x - 3y = -3 <=== standard form

3 0

4 years ago

Please help ASAP please and thank you have a great and blessed day!

goldenfox [79]

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is going to be your answers i believe

3 0

3 years ago

Read 2 more answers

Kevin is 4 times as old as Daniel and is also 6 years older than Daniel

MAXImum [283]

Answer:

Part a) Daniel's age is 2 years

Part b) Kevin's age is 8 years

Step-by-step explanation:

The question is

Part a) How old is Daniel?

Part b) How old is Kevin?

Let

x ----> Kevin's age

y ----> Daniel's age

we know that

$x=4y$ -----> equation A

$x=y+6$ ----> equation B

Equate equation A and equation B

$4y=y+6$

solve for y

$4y-y=6$

$3y=6$

$y=2$

therefore

Daniel's age is 2 years

Find the value of x

substitute the value of y in any of the two equations

$x=4(2)=8\ years$

$x=2+6=8\ years$

therefore

Kevin's age is 8 years

6 0

3 years ago

If you take a number, times by 3 then add 5. You get the same as if you took the number, times by 7 then subtract 8. What is the

lana [24]

3x+5=7x-8
4x=13
x=13/4
the answer is 13/4

8 0

3 years ago