Answer:
5 ft/s
Step-by-step explanation:
Let L be the length of the ladder. The relation between the angle and distance X is:
X = L * sin θ the change of X will be:
dX/dt = L * cos θ If we evaluate the expression when θ = π/3, we get the change of X:
dX/dt = 10 * cos(π/3)
dX/dt = 5 ft/s
Our current equation is:
-8r -31 = -3(5r -6)
To solve for this, we need to get r on one side of the equation and then simplify if needed.
On the right side of the equation, we have a pending Distributive Property, which is when you multiply the number/variable outside of the parenthesis by all numbers/variables in the parenthesis.
Let's simplify this Distributive Property to help understand our equation better.
-3(5r -6)
Multiply -3 by each number/variable separately (unless they are already being multiplied, like 2x, 1/2x, etc).
-3(5r) + -3(-6).
-3(5r) = -15r
-3(-6) = 18 (both negatives need to be in parenthesis to keep a product as negative, and if you do not multiply them in that way, you will end up with a positive product).
Your equation now is:
-8r -31 = -15r + 18
Add 15r to both sides to get r on one side.
7r -31 = 18 is now our current equation.
Add 31 to both sides to get 7r by itself.
7r = 49 is now our equation.
r is still being multiplied by 7, so we need to do the opposite of multiplying by 7.
Divide both sides by 7.
r = 7.
I hope this helps!
Answer:
m=2/5, y=3x7, (7,0), y=x-2, (0,-2)
Step-by-step explanation:
Answer:
15/30 0r 1/2
Step-by-step explanation:
You multiply the fractions
total number of cards: 12 + 27 + 91 = 130
total number of cards with a circle: 91
so you have a 91/130 probability which reduces to 7/10 probability