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:
slope=1.4
Basically m=y2-y1/x2-x1 (plug values)
m=14-7/10-5
m=7/5
m=1.4
Step-by-step explanation:
Answer:
9x² - 12x + 4
Division Property
Step-by-step explanation:
(3x-2)² = (3x-2)(3x-2)
using the foil method we get:
9x² - 6x - 6x + 4
combine 'like' terms to get:
9x² - 12x + 4
2x = 10 To get 'x' by itself, since it's being multiplied by 2 we must do the inverse operation which is division
If we divide one side of an equation by 2 we must do the same to the other side, giving us:
x = 10/2 which is x = 5
Answer:
43.531
Step-by-step explanation:
This problem needs the law of cosines since the three sides of the triangle are involved as well as one angle. The law of cosines is:
c^2 = a^2 + b^2 - 2ab*cos(C)
Where the lowercase letters are side values and capital letters are angle values. Just in case I will mention side a is the one with a length of 14, side b is 20 and c = 12.
Since it is asking for angle A instead of angle C we can rewrite the law of cosines to fit that, basically just rearranging the letters.
a^2 = c^2 + b^2 - 2cb*cos(A)
Now we just plug in and solve.
14^2 = 12^2 + 20^2 - 2*12*20*cos(A)
Rearrange to get A by itself
Now we take the inverse cosine, or arccos of both sides to get our answer.
Let me know if there is something in my explanation you don't understand.
I believe it would be C, because it's not D, 180 because 180 would be a reflection and B makes no scense it wouldn't be A, because it's not a 180 degree turn.