Answer:
<span>Without changing the compass opening, construct a circle with point C as the center.
If you do this procedure you realize that you have found 6 points equally distributed over the original circumference. Of course they are at the same distance of the point A, which is the center of the first circle.
So, those 6 points equally distributed over the original circle define the hexagone.
</span>
Answer:
x+3 is not a factor
Step-by-step explanation:
A graphing calculator shows the expression has a zero at x=3 and no other real zeros. If x+3 were a factor, there would be a zero at x = -3.
x+3 is not a factor of the expression.
_____
You can check to see if x+3 is a factor by evaluating the expression for x=-3. If (x+3) is a factor, x=-3 will make the function be zero.
3(-x³ +2x² +2x +3) = 3(((-x +2)x +2)x +3) = 3(((-(-3)+2)(-3) +2)(-3) +3)
= 3((-15+2)(-3) +3) = 3(39 +3) = 126 ≠ 0
The expression evaluates to 126 at x=-3, so x+3 is NOT a factor.
Answer:
![f^{-1}(x)=\sqrt[3]{x-7}](https://tex.z-dn.net/?f=f%5E%7B-1%7D%28x%29%3D%5Csqrt%5B3%5D%7Bx-7%7D)
Step-by-step explanation:
First let me list the steps to find the inverse of a function.
1) Replace f(x) with y
2) Swap the locations of x's and y's
3) Solve for y
4) Replace y with 
Now lets do this with this function
![f(x)=x^3+7\\\\y=x^3+7\\\\x=y^3+7\\\\y^3=x-7\\\\y=\sqrt[3]{x-7}\\\\f^{-1}(x)=\sqrt[3]{x-7}](https://tex.z-dn.net/?f=f%28x%29%3Dx%5E3%2B7%5C%5C%5C%5Cy%3Dx%5E3%2B7%5C%5C%5C%5Cx%3Dy%5E3%2B7%5C%5C%5C%5Cy%5E3%3Dx-7%5C%5C%5C%5Cy%3D%5Csqrt%5B3%5D%7Bx-7%7D%5C%5C%5C%5Cf%5E%7B-1%7D%28x%29%3D%5Csqrt%5B3%5D%7Bx-7%7D)
Hello!You have to multiply 1 1/4 by 30 because each math book is 1 1/4 in. thick, and 30 books is 1 1/4 by 30. First change 30 and 1 1/4 to an improper fraction.
