Answer: To find the inverse, interchange the variables and solve for y.
f−1(x)=x3−37
Step-by-step explanation:
If you mean: (√(16r)^6 that is the same as:
(16r)^(1/2)^6
relevant rule: (a^b)^c=a^(b*c), in this case
(16r)^(6*1/2)
(16r)^3
4096r^3
Answer:
x = -9
Step-by-step explanation:
<em>To solve the equation</em>
- Separate the variable on one side and the numerical term on the other side
- Make the coefficient of the variable equal 1
<em>Let us do these steps with our question to find x</em>
∵ 4(2x + 7) = 12 - 2(10 - 2x)
→ Simplify each side
∵ 4(2x) + 4(7) = 12 - 2(10) - 2(-2x)
∴ 8x + 28 = 12 - 20 + 4x
→ Add the like terms in the right side
∵ 8x + 28 = (12 - 20) + 4x
∴ 8x + 28 = -8 + 4x
→ Subtract 28 from both sides
∵ 8x + 28 - 28 = -8 - 28 + 4x
∴ 8x = -36 + 4x
→ Subtract 4x from both sides
∵ 8x - 4x = -36 + 4x - 4x
∴ 4x = -36
→ Make coefficient of x equal 1 by dividing both sides by 4
∴
∴ x = -9
Answer:
x = 5 sqrt(6)/3
y= 10 sqrt(6)/3
Step-by-step explanation:
We know sin 60 = opposite/hypotenuse
sin 60 = 5 sqrt(2) /y
Multiply each side by y
y sin 60 = 5 sqrt(2)
Divide each side by sin 60
y sin 60/ sin 60 = 5 sqrt(2)/ sin 60
y = 5 sqrt(2) / sin 60
y = 5 sqrt(2) / sqrt(3) /2)
y = 10 sqrt(2)/ sqrt(3)
You cannot leave a sqrt in the denominator
y= 10 sqrt(2)/ sqrt(3) * sqrt(3)/sqrt(3)
y= 10 sqrt(6)/3
tan 60 = oppositve/ adjacent
tan 60 = 5 sqrt(2)/ x
Multiply each side by x
x tan 60 = 5 sqrt(2)
Divide by tan 60
x = 5 sqrt(2)/tan 60
x =5 sqrt(2)/sqrt(3)
You cannot leave a sqrt in the denominator
x = 5 sqrt(2)/sqrt(3) * sqrt(3)/sqrt(3)
x = 5 sqrt(6)/3