Answer:
see below
Step-by-step explanation:
(ab)^n=a^n * b^n
We need to show that it is true for n=1
assuming that it is true for n = k;
(ab)^n=a^n * b^n
( ab) ^1 = a^1 * b^1
ab = a * b
ab = ab
Then we need to show that it is true for n = ( k+1)
or (ab)^(k+1)=a^( k+1) * b^( k+1)
Starting with
(ab)^k=a^k * b^k given
Multiply each side by ab
ab * (ab)^k= ab *a^k * b^k
( ab) ^ ( k+1) = a^ ( k+1) b^ (k+1)
Therefore, the rule is true for every natural number n
Step-by-step explanation:
use herons formula
√s(s-a)(s-b)(s-c)
where s is the semi perimeter
S=20
and a,b,c are sides of triangle
=√20(20-17)(20-9)(20-14)
=√20.3.11.6
=62.92
nearest whole number is 63
option B is correct
Answer:
2×9=9+9
Step-by-step explanation:
Answer:
20 pints per hour
Step-by-step explanation:
60/6 = 10
10 x 4 = 40
40 pints/hour in the morning
60/3 = 20
20 x 1 =20
20 pints/hour in the afternoon
40 - 20 = 20
20 pint/hour difference
ANSWER
See explanation.
EXPLANATION
The given expression is
The parent function is
We can see that the transformation is of the form:
This is a vertical upward shift of the parent function by k units.
The graph of y=x^2+5 can be obtained from the graph y=x^2 by shifting the graph of y=x^2 up by 5 units.
b) The graph of y= 10x^2 can be obtained from the graph y=x^2 by stretching vertically the graph of y=x^2 by a factor of 10.
