Answer:
![A_{38} = 350](https://tex.z-dn.net/?f=A_%7B38%7D%20%20%3D%20350)
Step-by-step explanation:
The 5th term of the arithmetic sequence is 53. We can write the equation:
![a + 4d = 53...(1)](https://tex.z-dn.net/?f=a%20%2B%204d%20%3D%2053...%281%29)
The 6th term of the arithmetic sequence is 62. We can write the equation:
![a + 5d = 62...(2)](https://tex.z-dn.net/?f=a%20%2B%205d%20%3D%2062...%282%29)
Subtract the first equation from the second one to get:
![5d - 4d = 62 - 53](https://tex.z-dn.net/?f=5d%20-%204d%20%3D%2062%20-%2053)
![d = 9](https://tex.z-dn.net/?f=d%20%3D%209)
The first term is
![a + 4(9) = 53](https://tex.z-dn.net/?f=a%20%2B%204%289%29%20%3D%2053)
![a + 36 = 53](https://tex.z-dn.net/?f=a%20%2B%2036%20%3D%2053)
![a = 53 - 36](https://tex.z-dn.net/?f=a%20%3D%2053%20-%2036)
![a = 17](https://tex.z-dn.net/?f=a%20%3D%2017)
The 38th term of the sequence is given by:
![A_{38} = a + 37d](https://tex.z-dn.net/?f=%20A_%7B38%7D%20%3D%20a%20%2B%2037d)
![A_{38} = 17+ 37(9)](https://tex.z-dn.net/?f=A_%7B38%7D%20%20%3D%2017%2B%2037%289%29)
![A_{38} = 350](https://tex.z-dn.net/?f=A_%7B38%7D%20%20%3D%20350)
Answer:
20x - 8
Step-by-step explanation:
Since we have the length and height of the rectangle we just multiply each by 2. This is because the length is the same on both sides and the height is too. The equation would look like this:
(5x-4 + 5x -4) + (5x +5x) = 10x -8 + 10 x = 20x -8
Answer: ok the answer is 42
Step-by-step explanation: so q = 17 right? and 25 = Y
so i think you add then you get 42...right? i might not get the right answer
but what letter is this i don't know this symbol or lettter: π
Answer:
see below
Step-by-step explanation:
y = 5x-3
Let x = -2 y = 5(-2) -3 = -10 -3= -13
Let x = -1 y = 5(-1) -3 = -5-3 = -8
Let x = 0 y = 5(0) -3 = 0-3 = -3
Let x = 1 y = 5(1) -3 = 5-3 = 2
Let x = 2 y = 5(2) -3 =10-3 = 7
Answer:
D
Step-by-step explanation:
It is because you can see the line pass through the value 0 in x-axis while 6 in y-axis which gives the first coordinate (x,y) = (0,6) and the line also past through the value of 5 in x-axis and 1 in y-axis which gives the second coordinate is (1,5).
So it is true that the line did go through at points (0,6) and (1,5).