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
Answer:(D) is the answer
Step-by-step explanation:
for every cup grandma uses 3/4 of a cup of strawberry
The solution is x<5
so
C,E,F, and G
2x + -11 = k
Reorder the terms:
-11 + 2x = k
Solving
-11 + 2x = k
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '11' to each side of the equation.
-11 + 11 + 2x = 11 + k
Combine like terms: -11 + 11 = 0
0 + 2x = 11 + k
2x = 11 + k
Divide each side by '2'.
x = 5.5 + 0.5k
Simplifying
Answer:
y=[-4]x+[10]
Step-by-step explanation:
For a line to be perpendicular to another it must have the reverse reciprocal of the opposite line, to find the reverse reciprocal you take your slope, flip the numerator and denominator, and multiply it by -1.
The slope 
turns into 
and is then multiplied by -1 to become 
which can be simplified down to: 
Now that we know the slope we need the line to pass through a point, so we will use point slope form:
Substitute in our slope and point values:
Now solve for y:
Then you will find that line 
runs perpendicular to 
and intersects point (2,2).
