HELP DUE SOON EMERGENCY
1 answer:
Answer:
The sum of the series is 44.
Step-by-step explanation:
Sigma notation. I just had a test on this, so this is pretty good timing.
Below the sigma, we see that k = 1. This means that 1 is the number you would substitute for k into the expression on the right to get the first term. In this case, the first term is -2. (2(1)² - 4)
Now, we can also find out the number of terms in the series by subtracting 1 (taken from k = 1) from the number on top of the sigma, 4, and then adding 1 to it.
4 - 1 + 1 = 4. This means there are 4 terms in the series.
See the remaining work in the attached file. You should get that the sum of the series is 44.
Hope this helps!
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Consider an angle M with measure m≠90°, in a right triangle.
Let
OPP denote the length of the side opposite to M,
ADJ denote the length of the side adjacent to M, and
HYP denote the hypotenuse.
then:
Sin(M) = OPP/HYP
Cos(M)= ADJ/HYPP
Tan(M)=OPP/ADJ
Back to our problem,
using the Pythagorean we can find the length of AB:
Answer: 1, 3, 4
Let
OPP denote the length of the side opposite to M,
ADJ denote the length of the side adjacent to M, and
HYP denote the hypotenuse.
then:
Sin(M) = OPP/HYP
Cos(M)= ADJ/HYPP
Tan(M)=OPP/ADJ
Back to our problem,
using the Pythagorean we can find the length of AB:
Answer: 1, 3, 4
Answer:
Step-by-step explanation:
Since we are finding a parallel line, the slopes will be the same, so the second equation will also have a slope of -5.
Then, to find the y-intercept, we can use the point given and plug in.
So the equation comes out to be
We can check by plugging in the given point again.