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3 years ago

What is (8a+2b-(2a-5b) ?

Mathematics

1 answer:

inysia [295]3 years ago

7 0

8a+2b * -2a + 5b (since there's an invisible -1, at least the 1 is) so the product of that is -16a^2 + 10b^2

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The perimeter of a triangle is 65 meters. The second side is 5 meters less than the first side The third side is 7

tangare [24]

Answer:

The length of each side is 31.5m, 26.5m, 7m

Step-by-step explanation:

Let the length of the first side of the triangle be x meters.

Then, the second side is x-5 meters.

The third side is given as 7 meters.

The perimeter is 65 meters

This gives us the equation:

$65 = x + x - 5 + 7$

$65 - 7 + 5 = x + x$

$63 = 2x$

$x = \frac{63}{2} = 31.5$

The length of each side is 31.5m, 26.5m, 7m

4 0

3 years ago

Use the disk method or the shell method to find the volumes of the solids generated by revolving the region bounded by the graph

diamong [38]

Answer:

a) 8π

b) 8/3 π

c) 32/5 π

d) 176/15 π

Step-by-step explanation:

Given lines : y = √x, y = 2, x = 0.

a) The x-axis

using the shell method

y = √x = , x = y^2

h = y^2 , p = y

vol = ( 2π ) $\int\limits^2_0 {ph} \, dy$

= $( 2\pi ) \int\limits^2_0 {y.y^2} \, dy$

∴ Vol = 8π

b) The line y = 2 ( using the shell method )

p = 2 - y

h = y^2

vol = ( 2π ) $\int\limits^2_0 {ph} \, dy$

= $( 2\pi ) \int\limits^2_0 {(2-y).y^2} \, dy$

= ( 2π ) * [ 2/3 * y^3 - y^4 / 4 ] ²₀

∴ Vol = 8/3 π

c) The y-axis ( using shell method )

h = 2-y = h = 2 - √x

p = x

vol = $(2\pi ) \int\limits^4_0 {ph} \, dx$

= $(2\pi ) \int\limits^4_0 {x(2-\sqrt{x} ) } \, dx$

= ( 2π ) [x^2 - 2/5*x^5/2 ]⁴₀

vol = ( 2π ) ( 16/5 ) = 32/5 π

d) The line x = -1 (using shell method )

p = 1 + x

h = 2√x

vol = $(2\pi ) \int\limits^4_0 {ph} \, dx$

Hence vol = 176/15 π

attached below is the graphical representation of P and h

3 0

3 years ago

Please help! 40 POINTS for you PLUS A THANKS (both on answer and profile), 5 STAR and BRAINLIEST

stepladder [879]

Sorry for bad hand writing

3 0

3 years ago

toni bought an old bike for 50$. She fixed it up and sold it for $80. What percent of the original value was toni’s sale price

ikadub [295]

For this case what you must do is the following rule of three:
50 ---> 100
80 ----> x
We clear x:
x = (80/50) * (100)
x = 160%
160-100 = 60%
Answer:
toni added 60% of the original value for his sale price

3 0

3 years ago

Identify the linear equation.

slamgirl [31]

I would go with D, it looks like it is the most linear out of the rest, Hope it helps:)

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3 years ago