Answer:
avn= -8 + (n-1)(-7)
Step-by-step explanation:
arithmetic sequence formula= avn= av1 + (n-1)d
av1= first number in the sequence
d= common difference
n= the number of the term to find
The common difference is -7 so d=-7 and you plug it into the equation. The first number in the sequence is -8 so av1.
There is no specific n to find so it remains n.
I hope this helps! Let me know if this helps.
Answer:
(f + g)(x) = – 3x^2 + 5x - 8
Step-by-step explanation:
(f + g)(x) = f(x) + g(x)
= 5x^2 + 9x – 4 + (– 8x^2 – 3x – 4)
= 5x^2 + 9x – 4 – 8x^2 – 3x – 4
Combine
= – 3x^2 + 5x - 8
<u>Answer:</u>
a = 8.1
<u>Step-by-step explanation:</u>
Use the cosine rule:
![a = \sqrt{b^2 + c^2 -2 bc \space\ cosA }](https://tex.z-dn.net/?f=a%20%3D%20%5Csqrt%7Bb%5E2%20%2B%20c%5E2%20-2%20bc%20%5Cspace%5C%20cosA%20%7D)
Substituting the values:
![a = \sqrt{10^2 + 12^2 -2(10)(12) \space\ cos 42 \textdegree\ }](https://tex.z-dn.net/?f=a%20%3D%20%5Csqrt%7B10%5E2%20%2B%2012%5E2%20-2%2810%29%2812%29%20%5Cspace%5C%20cos%2042%20%5Ctextdegree%5C%20%7D)
⇒ ![a = \sqrt{4 \space\ cos 42\textdegree\ }](https://tex.z-dn.net/?f=a%20%3D%20%5Csqrt%7B4%20%5Cspace%5C%20cos%2042%5Ctextdegree%5C%20%7D)
⇒ ![a = 8.1](https://tex.z-dn.net/?f=a%20%3D%208.1)
Depending on the length of the two sides of the triangle the length could be smaller than 1.
The answer that is not true is :
B. It is always greater than 1
Answer:
L = 15
Step-by-step explanation:
P = 2L + 2W
you know that P = 50, W=10
So you have to replace those values on the equation
50 = 2L + 2*(10) --> Replace P and W
50 = 2L + 20 --> Multiply and now you are going to separate the unknown and the constants.
Remember that if you send a constant to the other side of the equal the sign will change to its opposite
50 - 20 = 2L --> Solve the constants
30 = 2L --> Now for the L, you have to leave it alone, so the 2 that is multiplying you have to send it to the other side of the equal but with the opposite operation, the opposite operation of multiplying is dividing, so you have:
30/2 = L
L= 15