Answer: 147 cm²
Step-by-step explanation:
Since it says to use 3 for pi, and the radius is given to us (7 cm), we will plug in and solve for the area.
A = πr²
A = (3)(7)²
A = 147 cm²
Answer:10 1/9 oz
Step-by-step explanation:
Looks like y = |x| because the slopes of the lines are both 1
You shift it to the right making it |x-2| and you shift it down making y = -2
combine to get <em>y = |x - 2| - 2</em>.
The value of
is ![\frac{27}{35}](https://tex.z-dn.net/?f=%5Cfrac%7B27%7D%7B35%7D)
Explanation:
Given that
and ![g(x)=7x](https://tex.z-dn.net/?f=g%28x%29%3D7x)
<u>The value of </u>
<u>:</u>
The value of
can be determined by substituting x = 5 in the functions f(x) and g(x) and then dividing the terms, we get, the value of ![(\frac{f}{g})(5)](https://tex.z-dn.net/?f=%28%5Cfrac%7Bf%7D%7Bg%7D%29%285%29)
Thus, we have,
![(\frac{f}{g})(5)=\frac{f(5)}{g(5)}](https://tex.z-dn.net/?f=%28%5Cfrac%7Bf%7D%7Bg%7D%29%285%29%3D%5Cfrac%7Bf%285%29%7D%7Bg%285%29%7D)
Substituting the value of x = 5 in the functions f(x) and g(x), we get,
![(\frac{f}{g})(5)=\frac{7+4(5)}{7(5)}](https://tex.z-dn.net/?f=%28%5Cfrac%7Bf%7D%7Bg%7D%29%285%29%3D%5Cfrac%7B7%2B4%285%29%7D%7B7%285%29%7D)
Simplifying the terms, we have,
![(\frac{f}{g})(5)=\frac{7+20}{35}](https://tex.z-dn.net/?f=%28%5Cfrac%7Bf%7D%7Bg%7D%29%285%29%3D%5Cfrac%7B7%2B20%7D%7B35%7D)
Adding the terms in numerator, we have,
![(\frac{f}{g})(5)=\frac{27}{35}](https://tex.z-dn.net/?f=%28%5Cfrac%7Bf%7D%7Bg%7D%29%285%29%3D%5Cfrac%7B27%7D%7B35%7D)
Thus, the value of
is ![\frac{27}{35}](https://tex.z-dn.net/?f=%5Cfrac%7B27%7D%7B35%7D)
D^2 + 17d + 72 = 0
( d + 8 ) ( d + 9 ) = 0
d = - 8 , d = - 9