Reflection across the line y= x, cause to interchange the x and y coordinate
p(x,y) ⇒ p(y,x)
The system of standard automotive license plates allows for a variety of standard plates is 39917124 ways.
<h3>Define the term permutation?</h3>
- The number of potential arrangements for a given set is assessed mathematical terms, but this procedure is referred to as permutation.
- The arrangement's order is essential when using permutations.
For the stated data;
Standard car license plates in a nation typically have 3 digits, 2 letters, and 2 numbers.
There are total 9 digits (0 - 9).
There are total 26 letter (A - Z)
Repetitions of letters and numbers given allowed.
Thus, numbers and the letters ca be arranged as;
1st place = 9 ways.
2nd place = 9 ways.
3nd place = 9 ways.
4th place = 26 ways.
6th place = 26 ways.
7th place = 9 ways.
8th place = 9 ways.
Total ways = 9×9×9×26×26×9×9
Total ways = 39917124
Thus, the system of standard automotive license plates allows for a variety of standard plates is 39917124 ways.
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Answer:
x+6
Step-by-step explanation:
The given expression is (2+x)+4.
The associative property is :
(a+b)+c= a+(b+c)
Here,
a = 2, b = x and c = 4
So,
(2+x)+4 = 2+(x+4)
= x+6
So, the equivalent expression is x+6.
Solution:
we have been asked to find
Which of the given number words represents the numeral 4,056?
Its about the counting.
On unit place we have 6.
on Tenth place we have 5.
on hundredth place we have 0.
On Thousand place we have 4.
so in our number word representation there will be no "Hundreds".
So it will make
Hence the given number words representing the numeral 4,056 is Four thousands and fifty six
Answer:
x = - 4
Step-by-step explanation:
Given
- x² - 8x - 16 = 0 ( multiply through by - 1 to clear the leading negative )
x² + 8x + 16 = 0 ← this is a perfect square
(x + 4)² = 0 ( take the square root of both sides )
x + 4 = 0 ( subtract 4 from both sides )
x = - 4
