Answer: Answer:The solution to the given system of equations is (2.8,0.1)
Step-by-step explanation: I got it correct on the Unit Test
When solving these types of problems just ignore the “shorter leg” or “longer leg” and focus on the lengths. Pythagorean’s Theorem is used in this problem. Since a leg and hypotenuse length are given then you you set the problem up as 9^2+b^2=15^2. You then do the squares so that it is shown as this, 81+b^2=225. Next you need to subtract 81 on both sides of the equation to isolate the variable b (or the missing leg length) which leaves you with b^2=144. Next to isolate the variable completely you do the square root of both b^2 and 144 which leaves you with the answer b=12. The leg is 12cm long.
To find the number of terms in the arithmetic sequence, we need to use the formula
where
is the nth number,
is the first number, n is the number of terms and d is the difference of the two consecutive numbers.
7373 = 1313 + (n - 1)(303)
7373 = 1313 + 303n - 303
7373 = 1010 + 303n
7373 - 1010 = 303n
6363 = 303n
6363 ÷ 303 = n
n = 21
Therefore, there are 21 terms in the arithmetic sequence given.
Hello there! The range is 45.
The range is the difference of the greatest value and the least value. To subtract the highest value from the lowest value.
The highest value in this equation: 8
The lowest value in this equation: 53
53 - 8 = 45
So, this means the range is 45.
I hope this helps and have a great rest of your day!