Answer:
Step-by-step explanation:
<u>6-digit palindrome is the number n the form of:</u>
<u>This is divisible by 11 by default as the sum of the digits in odd placed is same as sum of the number in even places (remember the divisibility rule by 11):</u>
Now, in order to be divisible by 99, the number must be divisible by 11 and 9.
According to divisibility rule by 9 the sum of all digits must be divisible by 9. <u>You can see In our case we need to have (the minimum):</u>
<u>The smallest number we could get is when x is minimum, y is minimum, so:</u>
<u>The number we get is:</u>
<u>Proof:</u>
1) 8y + 9 2) 2n + 4 3) 3d + 5h
rearrange the equations and combine like terms. combine the terms with the same variables and add / subtract them.
for example number 1:
9y - 11 + 20 - y
is the same thing as
<em>9y - y</em> <u>+ 20 - 11</u>
and now you can easily combine them:
<em>8y</em> + <u>9</u>
i hope this helps!
Answer:
The length of side of largest square is 15 inches
Step-by-step explanation:
The given suares are when joined in the way as shown in picture their sides form a right agnled triangle.
Area of square 1 and perimeter of square 2 will be used to calculate the sides of the triangle.
So,
<u>Area of square 1: 81 square inches</u>
<u>Perimeter of square 2: 48 inches</u>
We can see that a right angled triangle is formed.
Here
Base = 12 inches
Perpendicular = 9 inches
And the side of largest square will be hypotenuse.
Pythagoras theorem can be used to find the length.
Hence,
The length of side of largest square is 15 inches
The rule that has been given means that x coordinate of some point we increase by 8 and y coordinate of some point we increase by 5.
Coordinates of K point on original Figure are:
(-2,-3)
once we implement rule on this we get K':
K' ( -2+8,-3+5)
or
K' ( 6,2)
Answer is third option.
Answer:
5 1/6
Step-by-step explanation:
Rewriting our equation with parts separated
=8+2/4−3−1/3
Solving the whole number parts
8−3=5
Solving the fraction parts
2/4−1/3=?
Find the LCD of 2/4 and 1/3 and rewrite to solve with the equivalent fractions.
LCD = 12
6/12−4/12=2/12
Reducing the fraction part, 2/12,
2/12=1/6
Combining the whole and fraction parts
5+1/6=5 1/6
