Answer:
9
Step-by-step explanation:
When the bases are diffenrent and the exponents of a and b are the same, we can multiply a and b first:
a n ⋅ b n = (a ⋅ b) n
Example:
32 ⋅ 42 = (3⋅4)2 = 122 = 12⋅12 = 144
When the bases and the exponents are different we have to calculate each exponent and then multiply:
a n ⋅ b m
Example:
32 ⋅ 43 = 9 ⋅ 64 = 576
The new slope would now be 2 so y=2x-3
Answer:
The value of y is 847 for x=11
Step-by-step explanation:
It is given that y is directly proportional to the square of x
This can be written mathematically as:

Removing the proportionality symbol introduces a proportionality constant in the equation which is denoted by k

Given that "When x is 5, y is 175"

Putting the value of k

Now putting x = 11

Hence,
The value of y is 847 for x=11
Answer: QS and QR are the shortest segment of the triangle ΔPQS, and ΔSQR respectively.
Step-by-step explanation:
Since we have given that
ΔPQS, and ΔSQR,
Consider, ΔPQS,
As we know that " the length opposite to the largest angle is the shortest segment."
So, According to the above statement.

Similarly,
Consider, ΔSQR,
Again applying the above statement, we get that,

Hence, QS and QR are the shortest segment of the triangle ΔPQS, and ΔSQR respectively.