A circle with center at (0,0) passes through (-8,0. Find the circumference and area of the circle in terms of p.

Can someone please help?

kipiarov [429]

The second one. Hope this helps:)

6,025, 305< 6,026,305< 6,027,305.

3 0

2 years ago

A student solves the following equation and

Phoenix [80]

Answer:

Since the equation is undefined for -2

Therefore, NO SOLUTION for the given equation.

Step-by-step explanation:

Considering the expression

$\frac{3}{a+2}-6\cdot \frac{a}{-4+a^2}=\frac{1}{a-2}$

$\frac{3}{a+2}-\frac{6a}{-4+a^2}=\frac{1}{a-2}$

$\mathrm{Find\:Least\:Common\:Multiplier\:of\:}a+2,\:-4+a^2,\:a-2:\quad \left(a+2\right)\left(a-2\right)$

$\mathrm{Multiply\:by\:LCM=}\left(a+2\right)\left(a-2\right)$

$\frac{3}{a+2}\left(a+2\right)\left(a-2\right)-\frac{6a}{-4+a^2}\left(a+2\right)\left(a-2\right)=\frac{1}{a-2}\left(a+2\right)\left(a-2\right)$

as

$\frac{3}{a+2}\left(a+2\right)\left(a-2\right):\quad 3\left(a-2\right)$

$-\frac{6a}{-4+a^2}\left(a+2\right)\left(a-2\right):\quad -6a$

$\frac{1}{a-2}\left(a+2\right)\left(a-2\right):\quad a+2$

so equation becomes

$3\left(a-2\right)-6a=a+2$

$-3a-6=a+2$

$-3a-6+6=a+2+6$

$-4a=8$

$\mathrm{Divide\:both\:sides\:by\:}-4$

$\frac{-4a}{-4}=\frac{8}{-4}$

$a=-2$

$\mathrm{Verify\:Solutions}$

$\mathrm{Take\:the\:denominator\left(s\right)\:of\:}\frac{3}{a+2}-6\frac{a}{-4+a^2}-\frac{1}{a-2}\mathrm{\:and\:compare\:to\:zero}$

$\mathrm{Solve\:}\:a+2=0:\quad a=-2$

$\mathrm{Solve\:}\:-4+a^2=0:\quad a=2,\:a=-2$

$\mathrm{Solve\:}\:a-2=0:\quad a=2$

So the following points are undefined

$a=-2,\:a=2$

Since the equation is undefined for -2

Therefore, NO SOLUTION for the given equation.

4 0

3 years ago

A prism has a trapezoid as its base whose area is 140 square centimeters. A cylinder with the same height has a radius of 6 cent

Eddi Din [679]

Answer:

difference in volume = 26.96h cm³

Step-by-step explanation:

The volume of a prism is the product of the base area and the height. A trapezoid prism has a trapezium as the base shape. Therefore,

volume of a trapezoid prism = area of a trapezium × height

area of the base(trapezoid) = 140 cm²

Volume = 140h

Volume of a cylinder = πr²h

where

r = radius

h = height

volume = πr²h

volume = π × 6² × h

volume = 3.14 × 36 × h

volume = 113.04h

To know how much larger the volume of the prism is than the volume of the cylinder we have to take the difference of the volume.

Recall the height are the same

difference in volume = 140h - 113.04h

difference in volume = 26.96h cm³

7 0

3 years ago

Please someone help

lana66690 [7]

Answer:

314.2

Step-by-step explanation:

Circumference of a circle is π $r{2}$

so 3.142 × $10{2}$ =314.2

3 0

2 years ago

Read 2 more answers

What was the fastest speed Amy traveled? ✨✨

Nesterboy [21]

Answer:

4 mph?

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers