Answer:
(a+b)(a-b)
Step-by-step explanation:
Answer:
Step-by-step explanation:
Given: See Attachment
Required
Determine the length of the legs
To do this, we apply Pythagoras theorem.
In this case:
Open Bracket
Collect Like Terms
Solving using quadratic formula:
So:
or
Since, x can't be negative, then:
One of the leg is:
Given:
The sequence is 5, 15, 25, ... .
To find:
The explicit formula for the nth term of the given sequence.
Solution:
We have,
5, 15, 25, ...
It is an AP because the difference between two consecutive terms are same.
Here,
First term : a = 5
Common difference : d = 15 - 5 = 10
Now, the explicit formula for the nth term of an AP is
Where, a is the first term and d is the common difference.
Therefore, the required explicit formula for the given sequence is .
<span>,702 <span>= 6 thousands and 7 hundreds and 0 tens and 2 ones= 6 × 1000 + 7 × 100 + 0 × 10 + 2 × 1 = 6000 + 700 + 2.</span></span>
Above, we have written the number 6,702 in expanded form, or as a SUM of its different parts according to place value.
The digit 6 in the number 6,702 actually has the value 6,000 and the digit 7 actually signifies the value 700. This is why our number system is also called a place value system, because the <span>value </span>of a digit (like 6 or 7 in our example)depends on its placement within the number. In other words, the digit 6 in 6702 does not mean six but six thousand, because the six is placed in the thousands' place. The place of a digit determines its value.
<span>The comma between thousands and hundreds is added as a separator for easier reading. In some countries an empty space is used instead: 6,702 is written as 6 702.</span>
It's a. 3.
because
3+6x=21
6x=18
x=3.