Answer:
r=2
Step-by-step explanation:
y = k x^r is the formula for a direct variation
y = k x^ -r is the formula for a indirect variation
20= 5 (1/2)^ -r
Divide each side by 5
4 = (1/2) ^ -r
Rewriting
2^2 = 2^ -1 ^ -r
2^2 = 2 ^ r
The bases are the same so
2 =r
Answer:
(8a)⁻¹⁸
1 / (8a)¹⁸
Step-by-step explanation:
(((8a)^6a)^4/4a))^-3
((8a)^6a*4/4a)^-3
((8a)^6)^-3
(8a)^6*(-3)
(8a)⁻¹⁸
1 / (8a)¹⁸
Answer:
x = -3
Step-by-step explanation:
You can try the answers to see which works. Or, you can actually solve the equation for x.
... 7 - log2(x+5) = 6
... 1 - log2(x+5) = 0 . . . . subtract 6
... 1 = log2(x+5) . . . . . . . add log2(x+5)
... 2 = x +5 . . . . . . . . . . . take the antilog
... -3 = x . . . . . . . . . . . . . subtract 5
Answer:
The answer to your question is x = 14.7
Step-by-step explanation:
Data
∠A = 20°
∠B = 46
a = 7
b = x
Process
To solve this problem use, the law of sines. This law states that the ratio of a side of a triangle to the sine of the opposite angle is the same for all three sides.
The law of sines for this problem is
x / sin 46 = 7 / sin 20
-Solve for x
x = 7 sin 46 / sin 20
-Simplification
x = 7 (0.719) / 0.342
x = 5.035/0.342
-Result
x = 14.7
