Answer:
1) 225
2) 2304
Step-by-step explanation:
1)
Use geometric mean of legs
![x = \sqrt{(16+9)^2 * 9^2} = \sqrt{25^2 * 9^2} = 25 * 9 = 225](https://tex.z-dn.net/?f=x%20%3D%20%5Csqrt%7B%2816%2B9%29%5E2%20%2A%209%5E2%7D%20%3D%20%5Csqrt%7B25%5E2%20%2A%209%5E2%7D%20%20%3D%2025%20%2A%209%20%3D%20225)
2)
Use geometric mean of altitude
![x = \sqrt{(100-36)^2 * 36^2} = \sqrt{64^2 * 36^2} = 64 * 36 = 2304](https://tex.z-dn.net/?f=x%20%3D%20%5Csqrt%7B%28100-36%29%5E2%20%2A%2036%5E2%7D%20%3D%20%5Csqrt%7B64%5E2%20%2A%2036%5E2%7D%20%3D%2064%20%2A%2036%20%3D%202304)
(gof)(0) cannot be evaluated
<em><u>Solution:</u></em>
Given that,
![f(x) = \frac{1}{x}\\\\g(x) = x - 4](https://tex.z-dn.net/?f=f%28x%29%20%3D%20%5Cfrac%7B1%7D%7Bx%7D%5C%5C%5C%5Cg%28x%29%20%3D%20x%20-%204)
A composite function is denoted by (g o f) (x) = g (f(x)).
The notation g o f is read as “g of f”
Therefore, let us find whether (gof)(0) can be evaluated or not
To find (gof)(0):
(g o f) (x) = g (f(x))
Now substitute the given value of f(x)
![(g o f) (x) = g(\frac{1}{x})](https://tex.z-dn.net/?f=%28g%20o%20f%29%20%28x%29%20%3D%20g%28%5Cfrac%7B1%7D%7Bx%7D%29)
![\text{ Substitute } x = \frac{1}{x} \text{ in } g(x) = x - 4](https://tex.z-dn.net/?f=%5Ctext%7B%20Substitute%20%7D%20x%20%3D%20%5Cfrac%7B1%7D%7Bx%7D%20%5Ctext%7B%20in%20%7D%20g%28x%29%20%3D%20x%20-%204)
![(g o f) (x) = \frac{1}{x} - 4](https://tex.z-dn.net/?f=%28g%20o%20f%29%20%28x%29%20%3D%20%5Cfrac%7B1%7D%7Bx%7D%20-%204)
Now to find (gof)(0), substitute x = 0
![(g o f) (x) = \frac{1}{0} - 4](https://tex.z-dn.net/?f=%28g%20o%20f%29%20%28x%29%20%3D%20%5Cfrac%7B1%7D%7B0%7D%20-%204)
Since 1 divided by 0 is undefined, because any number divided by 0 is undefined
(gof)(0) cannot be evaluated
7×20 and 7×2000 are similar. The amount of zeros are the dependent factor.
7×20= 140
7×2000= 14000
The base equation is 7×2=14
Any additions of zeroes in this formula will be added at the end result.
Ex.
7×2=14
7×20=140
7×200=1400
70×200=14000
700×200=140000
Answer:
y = 2/3x - 13/3
Step-by-step explanation:
Implying the x and y coordinates, you get this.
Answer:
C.
Step-by-step explanation:
Simply multiply 50 by 3/8