Answer:
D. 1.2
Step-by-step explanation:
The sum of an arithmetic sequence is the product of the average term value and the number of terms.
The average term is often computed by averaging the first and last terms of the sequence. It can also be computed by averaging the middle two terms of the sequence (when there are an even number of terms, as here).
We are given a_13 is 1.9. We know that a_12 is 3.7 less, so is -1.8. Then the average of these two middle terms is ...
... (-1.8 + 1.9)/2 = 0.05
The product of this value and the number of terms (24) is ...
... 24·0.05 = 1.2 . . . . . the sum of 24 terms of the sequence
Answer: THIRD OPTION.
Step-by-step explanation:
For this exercise you need to use the formula for calculate the distance between two points. This is:
![d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}](https://tex.z-dn.net/?f=d%3D%5Csqrt%7B%28x_2-x_1%29%5E2%2B%28y_2-y_1%29%5E2%7D)
Given the following points:
and ![(-3,-5)](https://tex.z-dn.net/?f=%28-3%2C-5%29)
You can identify that:
![x_2=-3\\x_1=5\\\\y_2=-5\\y_1=1](https://tex.z-dn.net/?f=x_2%3D-3%5C%5Cx_1%3D5%5C%5C%5C%5Cy_2%3D-5%5C%5Cy_1%3D1)
Knowing these values, the next step is to substitute them into the equation for calculate the distance between two points and then evaluate.
Therefore, the distance between
and
is:
![d=\sqrt{(-3-5)^2+(-5-1)^2}\\\\d=10](https://tex.z-dn.net/?f=d%3D%5Csqrt%7B%28-3-5%29%5E2%2B%28-5-1%29%5E2%7D%5C%5C%5C%5Cd%3D10)
X is a 90 degree angle so x equals half of 90 which is 45
X= 45
Since x is 45 the other angle on the other side is 45
Every triangle equals 180 so you take 45+45 to get 90 and subtract that from 180 and get 90
Y= 90
hope this helped ask questions
Answer:
Step-by-step explanation:
(-7, 8) (-8, 8)
(y2 - y1) / (x2 - x1)
(8 - 8) / (-8 + 7)
0 / -1
the slope is 0
you could also see this because the y value doesn't change
if the y value doesn't change the slope is 0, if the x value doesn't change the slope is undefined