Answer:
Numerator = 2(b^2+a^2) or equivalently 2b^2+2a^2
Denominator = (b+a)^2*(b-a), or equivalently b^3+ab^2-a^2b0-a^3
Step-by-step explanation:
Let
S = 2b/(b+a)^2 + 2a/(b^2-a^2) factor denominator
= 2b/(b+a)^2 + 2a/((b+a)(b-a)) factor denominators
= 1/(b+a) ( 2b/(b+a) + 2a/(b-a)) find common denominator
= 1/(b+a) ((2b*(b-a) + 2a*(b+a))/((b+a)(b-a)) expand
= 1/(b+a)(2b^2-2ab+2ab+2a^2)/((b+a)(b-a)) simplify & factor
= 2/(b+a)(b^2+a^2)/((b+a)(b-a)) simplify & rearrange
= 2(b^2+a^2)/((b+a)^2(b-a))
Numerator = 2(b^2+a^2) or equivalently 2b^2+2a^2
Denominator = (b+a)^2*(b-a), or equivalently b^3+ab^2-a^2b0-a^3
Answer: 3:4
Step-by-step explanation: because the ratio of a :b is 2:3 which means b is 3 . And the ratio of a:c is 3 :4 which means c is 4.
And 3:4 is in simplest form .
Hope it helps.
Answer:
The radius of the sphere, to the nearest cm:
cm
Step-by-step explanation:
The surface area of a sphere is given by the formula
A = 4πr²
where r is the radius of the sphere.
Given
- The surface area of sphere A = 5024 cm²
The radius of the sphere can be determined such as
Plug in Surface Area of sphere = 5024, π = 3.14 in the formula
cm
Therefore, the radius of the sphere, to the nearest cm:
cm
Answer:
There is a 1/3 chance it lands on each section
Step-by-step explanation:
Setup is
y = k/x
8 = k/3
k = 24
Now use 6 for y
6 = 24/x
x = 24/6 = 4 or A
