If it were a complete circle, its circumference would be
(π) x (diameter) = (π) x (2R) = 70 π inches .
Since it's only half of the circle, the length of the curved part is
70 π / 2 = 35 π = <em>109.9 inches</em> .
Answer:
10,000
Step-by-step explanation:
There are 10,000 possible combinations that the digits 0-9 can be arranged into to form a four-digit code.
Since they reduced the markup price, or higher price, by 10%, the new markup price is 20% over the manufacturer price.
Answer:
<h2>x = 9, y = -36 → (9, -36)</h2>
Step-by-step explanation:
![y=-3x-9\qquad(1)\\\\y=\dfrac{1}{3}x-39\qquad(2)\\\\\text{Substitute (1) to (2)}\\\\-3x-9=\dfrac{1}{3}x-39\qquad\text{multiply both sides by 3}\\\\-9x-27=x-117\qquad\text{add 27 to both sides}\\\\-9x=x-90\qquad\text{subtract}\ x\ \text{from both sides}\\\\-10x=-90\qquad\text{divide both sides by (-10)}\\\\x=9](https://tex.z-dn.net/?f=y%3D-3x-9%5Cqquad%281%29%5C%5C%5C%5Cy%3D%5Cdfrac%7B1%7D%7B3%7Dx-39%5Cqquad%282%29%5C%5C%5C%5C%5Ctext%7BSubstitute%20%281%29%20to%20%282%29%7D%5C%5C%5C%5C-3x-9%3D%5Cdfrac%7B1%7D%7B3%7Dx-39%5Cqquad%5Ctext%7Bmultiply%20both%20sides%20by%203%7D%5C%5C%5C%5C-9x-27%3Dx-117%5Cqquad%5Ctext%7Badd%2027%20to%20both%20sides%7D%5C%5C%5C%5C-9x%3Dx-90%5Cqquad%5Ctext%7Bsubtract%7D%5C%20x%5C%20%5Ctext%7Bfrom%20both%20sides%7D%5C%5C%5C%5C-10x%3D-90%5Cqquad%5Ctext%7Bdivide%20both%20sides%20by%20%28-10%29%7D%5C%5C%5C%5Cx%3D9)
![\text{Put the value of x to (1):}\\\\y=-3(9)-9\\\\y=-27-9\\\\y=-36](https://tex.z-dn.net/?f=%5Ctext%7BPut%20the%20value%20of%20x%20to%20%281%29%3A%7D%5C%5C%5C%5Cy%3D-3%289%29-9%5C%5C%5C%5Cy%3D-27-9%5C%5C%5C%5Cy%3D-36)
Answer:
bottom right, it is multiplying rather than adding which makes it an exponential function.