Answer:
b = √(c^2 - a²)
Step-by-step explanation:
Start with the given c = √a^2 + b^2. Squaring both sides, we get:
c² = a² + b².
We want to iosolate b² and then b.
So: subtract a² from both sides, resulting in:
c² - a² = b²
Taking the square root of both sides, we get:
√b² = √(c² - a²)
and so:
b = √(c^2 - a²)
Answer:
Step-by-step explanation:
To find Carys' earnings in one hour, fill in h=1 in the formula:
E = 10·1 = 10
Carys earns 10 dollars per hour.
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To find the number of hours required to earn 1 dollar, fill in E=1 in the formula:
1 = 10h
0.1 = h . . . . . divide by 10
It takes 0.1 hours for Carys to earn 1 dollar.
10% as a decimal is 0.10
Hope this helps!
Answer: f⁻¹(x)=2x-6
Step-by-step explanation:
To find the inverse of an equation, you replace y with x and x with y. Then, you solve for y.
y=1/2x+3 [replace y with x and x with y]
x=1/2y+3 [subtract both sides by 3]
x-3=1/2y [multiply both sides by 2]
y=2(x-3) [distribute]
y=2x-6
Now, we know the inverse function is f⁻¹(x)=2x-6.
You multiply 8 times 5 then add 3. So it's 43/8
