Answer:
we need to prove : for every integer n>1, the number 
is a multiple of 5.
1) check divisibility for n=1, 
(divisible)
2) Assume that 
is divisible by 5, 
3) Induction,
Now, 
Take out the common factor,
(divisible by 5)
add both the sides by f(k)
We have proved that difference between 
and is divisible by 5.
so, our assumption in step 2 is correct.
Since is divisible by 5, then must be divisible by 5 since we are taking the sum of 2 terms that are divisible by 5.
Therefore, for every integer n>1, the number is a multiple of 5.
Answer:
Martina is 53 inches tall.
Step-by-step explanation:
In order to write an expression that relates the siblings heights we need to attribute variables to each brother. First we will call Martina's height as "m", then we can call her little brother's height as "b". The problem states that Martina's height is 3 inches less than twice the height of her brother so we have:
m = 2*b - 3
Then the problem gives us the height of her brother that is 28 inches tall, so b = 28. We can now compute Martina's height:
m = 2*28 - 3 = 56 - 3 = 53 inches.
Answer:
The missing coefficient of the x-term of the product (-x-5)2 is 10.
Step-by-step explanation:
<h3>
Solution:</h3>
Through whole square formula.
(-x-5)2 = (-x)^2 -2(-x)(5)+(5)^2
=x^2+10x+25
Therefore, the missing coefficient of the x-term of the product is 10
They have 5 3/4 ft
4+1=5
1/4+2/4=3/4
but hey, its not the length of your wood that matters, its how you use it XD
Hey There,
The equation would be y = 4x - 45
Point slope formula
(y-y1)=m(x-x1)
Plug in the numbers
(y-3)=4(x-12)
Solve for y.
4 * x = 4x
4 * -12 = -48
Bring 3 to the other side (change the sign)
-48 +3 = 45
Therefore, the equation would be y = 4x - 45
