Answer:
3 hours
Step-by-step explanation:
50+12h=86
-50 on both sides
12h=36
divide by 12 on both sides
h=3
Answer:
x= 16
/20420505
Step-by-step explanation:
Let's solve your equation step-by-step.
5(215)x=16
Step 1: Simplify both sides of the equation.
20420505x=16
Step 2: Divide both sides by 20420505.
20420505x
/20420505 = 16
/20420505
x= 16
/20420505
16, 5, 25, 6, 36, 7, 49, 8, 64, 9, 81, 10, 100
The pattern is starting at 1 then squaring it. Then, you move to the next number after one, then square it, and so on.
The line y = x + 3 has slope 1, so we look for points on the curve where the tangent line, whose slope is dy/dx, is equal to 1.
y² = x
Take the derivative of both sides with respect to x, assuming y = y(x) :
2y dy/dx = 1
dy/dx = 1/(2y)
Solve for y when dy/dx = 1 :
1 = 1/(2y)
2y = 1
y = 1/2
When y = 1/2, we have x = y² = (1/2)² = 1/4. However, for the given line, when y = 1/2, we have x = y - 3 = 1/2 - 3 = -5/2.
This means the line y = x + 3 is not a tangent to the curve y² = x. In fact, the line never even touches y² = x :
x = y² ⇒ y = y² + 3 ⇒ y² - y + 3 = 0
has no real solution for y.
