This is the concept of algebra, given that ab^4=12 and a^5b^5=7776, the value if a will be found as follows:
ab^4=12
a=12/b^4
also;
a^5=7776/b^5
thus;
a=(7776/b^5)^(1/5)
a=6/b
thus the value of a will be:
6/b=12/b^4
dividing both sides by b we get:
6=12/b^3
multiplying both sides by b^3 we get
6b^3=12
b^3=2
hence;
b=2^(1/3)
Answer:
¼ và 2017
Step-by-step explanation:
Answer:
11.2m
Step-by-step explanation:
Using Pythagoras,
a²+b²=c²
10²+b²=15²
100+b²=225
b²=225-100
b²=125
b=√125
b=11.2m
Answer:
Step-by-step explanation:
Step 1: Equation at the end of step 1
Simplifying
60(x + 20) = 3x
Reorder the terms:
60(20 + x) = 3x
(20 * 60 + x * 60) = 3x
(1200 + 60x) = 3x
Solving
1200 + 60x = 3x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-3x' to each side of the equation.
1200 + 60x + -3x = 3x + -3x
Combine like terms: 60x + -3x = 57x
1200 + 57x = 3x + -3x
Combine like terms: 3x + -3x = 0
1200 + 57x = 0
Add '-1200' to each side of the equation.
1200 + -1200 + 57x = 0 + -1200
Combine like terms: 1200 + -1200 = 0
0 + 57x = 0 + -1200
57x = 0 + -1200
Combine like terms: 0 + -1200 = -1200
57x = -1200
Divide each side by '57'.
x = -21.05263158
Simplifying
x = -21.05263158