Answer:
-
Step-by-step explanation:
arcsin(−1/2) = -arcsin(1/2)
In the table of common values,
-arcsin of 1/2 = π/6 = -π/6
Note: Memorize the results of the common values.
Answer:
a) The arithmetic sequence with common difference 2 that has 8 as the first term.
b) The arithmetic sequence of common difference -5 and first term 15.
Step-by-step explanation:
Let's use for example the arithmetic sequence with common difference 2 that has 8 as the first term. Then the first two terms of this sequence are:
8, and (8+2) = 10 Therefore the second term is 10.
Another arithmetic sequence of common difference -5 and first term 15. The firs two terms of this sequence are:
15, and (15 - 5) = 10. Therefore again a 10 as second term.
Answer:
(y-(-2))/(x-(-1)= (-2-4)/(-1-3)
(y+2)/(x+1)= (-6)/(-4)
(y+2)/(x+1)= (3/2)
Cross multiplying
2y+4= 3x+3
3x-2y-1=0
Answer:

Step-by-step explanation:
Given the information:
- A'B'C' reflection over x = −1
- dilation by a scale factor of 4 from the origin
<=> the two triangles are similar to each other, triangles are similar if they have the same shape, but can be different sizes, so A″B″C″ is 4 time bigger than ABC
=> the relationship between ΔABC and ΔA″B″C″
= 
We choose C.
Hope it will find you well.