Answer:
37.7 inches squared
Step-by-step explanation:
The formula for finding the circumfrence of a circle from a given radius is c = 2πr. Since r = 6, plug in 6 in the equation.
c = 2π(6)
Now, solve the equation.
c = 6.28318530718(6)
c = 37.6991118431
Rounded to the nearest hundredth, c = 37.7
Add the label to get your final answer: c = 37.7 inches squared.
Answer:
Step-by-step explanation:
It is a vertical stretch by a factor of 3 because a > 1.
Set up a system of equations:
x represents how many tee shirts were bought, and y represents how many long sleeve shirts were bought.
For the first equation, subtract y from both sides to get x by itself:
We'll now use substitution. Since x is equal to a value, we can substitute this value for the other equation:
Distribute the 10 to both terms in parentheses:
Combine like terms:
Subtract 90 from both sides:
Divide both sides by -3 to get y by itself:
6 long sleeve shirts were bought.
Now you have a value for y. Input this value into the first equation:
Subtract both sides by 6 to get x by itself:
3 tee shirts were bought.
The answer is B. 3 tee shirts and 6 long sleeve shirts.
Answer:
x = 20
Step-by-step explanation:
x/10 = 2
Multiply each side by 10
x/10 * 10 = 2*10
x = 20
So firstly, you want to multiply both sides by (x-2)(x+2) since it is the LCM, or lowest common multiplier. Your equation will look like this:
Next, you can cancel out the denominators on 3/x+2 and 4/x-2 on the left side:
Next, foil:
Next, combine like terms:
Next, add x + 14 on both sides:
Next, replace x with -5x + 6x:
Next, factor 5x^2-5x and 6x-6 separately. Make sure that both factors have the same quantity within the parentheses:
With this, we can rewrite it as From here, we solve for x in (5x+6) and (x-1) separately and setting them to zero.
In short, x = -1.2, 1.