Answer:
Rule of 9 : an integer is divisible by 9 if and only if the sum of its integers is divisible by 9.
Proof :
Let us consider a number x such that,
Where, 
are the the digits of the number x,
So, we can write,
Let,
Since, a number is in the form of 
, where k is an positive integer, is always divisible by 9,
⇒ 
are divisible by 9.
⇒ x-S is divisible by 9,
⇒ If S is divisible by 9 ⇒ x must divisible by 9,
Or if x is divisible by 9 ⇒ S must divisible by 9.
Hence, proved...
Answer:
$77 x 15/100 = $11.55
Step-by-step explanation:
15 percent of 77 dollars is 11.55
Answer:
In addition, from the response shown, using a graphical calculator brings the following benefits:
1) You can write the system of linear equations as big as you want. This is: systems 3 * 3, 4 * 4, 5 * 5.
2) The response to systems of equations greater than 2 * 2 can be complicated when you graph the solution, therefore, the graphing calculator can be much more efficient in these cases.
3) You can write the linear equations in any way. Resolving by hand you should probably rewrite the system of equations to find the solution.
Step-by-step explanation:
Recall that to calculate the distance between two points (a,b) and (c,d) we use the formula
![\sqrt[]{(c-a)^2+(d-b)^2}](https://tex.z-dn.net/?f=%5Csqrt%5B%5D%7B%28c-a%29%5E2%2B%28d-b%29%5E2%7D)
In our case we have a=-2, b=5, c=4 and d=5. So we get
![\sqrt[]{(4-(-2))^2+(5-5)^2}=\sqrt[]{6^2}=6](https://tex.z-dn.net/?f=%5Csqrt%5B%5D%7B%284-%28-2%29%29%5E2%2B%285-5%29%5E2%7D%3D%5Csqrt%5B%5D%7B6%5E2%7D%3D6)
So the distance between both points is 6
Answer:
3 represent growth it is the ans of this qn
Step-by-step explanation:
bcz 3 is increasing eqn by 3
