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
9514 1404 393
Answer:
-4
Step-by-step explanation:
In a linear equation, the terms "unit rate", "rate of change", "constant of proportionality", and "slope" all refer to the coefficient of x (the independent variable).
Here, the coefficient of x is -4.
The slope is -4.
_____
<em>Additional comment</em>
Strictly speaking the "constant of proportionality" only refers to the x-coefficient (k) when the equation is of the form ...
y = kx . . . . . with no added constant
"Slope", "unit rate", and so on, can also refer to the x-coefficient (m) when the equation has a non-zero y-intercept (b):
y = mx + b
Here, You need to apply "Proportionality Theorem"
According to this theorem, the ratio of components of a leg would be equal to the ratio of corresponding components of another leg.
In mathematical form,
AB/BD = AC/CD
Substitute their values,
36/24 = x/18
2/3 = x/18
x = 18*3 / 2
x = 54 / 2
x = 27
In short, Your Answer would be 27
Hope this helps!
Alice has 36 possibilities of choosing ,Bob 126 and Kevin 84.
Alice, Bob and Kevin
7 different Flavors:
Chocolate
Vanillla
mint chip
strawberry
cookie dough
banana
caramel
The order of the 9 scoops does not matter.
_ _ _ _
a) How many ways can she choose her 9 scoops so she gets at least 1 scoop of each flavor?
Since there are 7 flavors, and she wants at least one of each then we have:
Alice has 36 possibilites of choosing
b) Bob
Since Bob can't eat too much he can't do no more than 4
Bob has 126 possibilities of making his choice.
c) Kevin
3 scoups of banana or 3 scoups of strawberries.
Considering He wants 9 scoups.
Kevin has 84 possibilities for banana or strawberries
Answer:
0.0946km²
Step-by-step explanation
Area of the farmland owned = 0.037km²
Area of farm land bought = 9600m²
Convert m² to km²
1m² = 1e-6 km²
9600m² = 0.000001 * 9600
9600m² = 0.0576km²
Total area on km² = 0.037km²+0.0576km²
Total area on km² = 0.0946km²
