Answer:
Diameter of the circle is
units
Step-by-step explanation:
It is given that the vertices of the square fall on the circle.
So, the diagonal of the square is the diameter of the circle.
Also, the diagonal and the two sides of the square form a right angled triangle.
By Pythogoras theorem,

= 
= 
units
Hence, the diameter of the circle is
units
Answer:
? = 3
Step-by-step explanation:
To find the value of ?, substitute one of the ordered pairs from the table [except (0, 0)] into the given formula and solve for ?.
Given formula:

Substitute x = 1 and y = 3 into the formula:

To isolate ? divide both sides by 1:


Therefore, ? = 3:

Check by inputting another value of x from the table into the found formula and comparing the calculated y-value:


The value of X is 5 and QR is 34
Answer:
![\log_5{\dfrac{x^5}{\sqrt[4]{8-x}}}](https://tex.z-dn.net/?f=%5Clog_5%7B%5Cdfrac%7Bx%5E5%7D%7B%5Csqrt%5B4%5D%7B8-x%7D%7D%7D)
Step-by-step explanation:
Make use of the rules of logarithms:
log(a/b) = log(a) - log(b)
log(a^b) = b·log(a)
__
![5\log_5{x}-\dfrac{1}{4}\log_5{(8-x)}=\log_5{x^5}-\log_5{\sqrt[4]{8-x}}=\log_5{\dfrac{x^5}{\sqrt[4]{8-x}}}](https://tex.z-dn.net/?f=5%5Clog_5%7Bx%7D-%5Cdfrac%7B1%7D%7B4%7D%5Clog_5%7B%288-x%29%7D%3D%5Clog_5%7Bx%5E5%7D-%5Clog_5%7B%5Csqrt%5B4%5D%7B8-x%7D%7D%3D%5Clog_5%7B%5Cdfrac%7Bx%5E5%7D%7B%5Csqrt%5B4%5D%7B8-x%7D%7D%7D)
Answer:
the third option is the answer
Step-by-step explanation:

i) to raise a power to another power, multiply the exponents


ii) any power raised to the power of 1 equals itself
