Answer: 90 degrees clockwise
This is equivalent to 270 degrees counterclockwise
The rule for either rotation is
The x and y coordinates swap places, and the new second coordinate flips from positive to negative (or vice versa).
The diagram below shows an example of this for the point (-4,-2) rotating to (-2, 4). The center of the rotation is the origin (0,0).
Answer:
see below
Step-by-step explanation:
The first equation is in slope-intercept form, so you can see that the boundary line has a slope of -2 and goes through the point (x, y) = (0, -4). Since the comparison is "<", the line is dashed and shading is below it.
The second equation is that of a vertical boundary line at x=-3. It is solid, because the comparison includes the "equal" case. Shading is to the right of it, where x values are greater than -3.
Answer:
= 4
Step-by-step explanation:
There is a common ratio r between consecutive terms , that is
r = - 20 ÷ 4 = 100 ÷ - 20 = - 5
This indicates the sequence is geometric with nth term ( explicit formula )
= a₁
where a₁ is the first term and r the common ratio
Here a₁ = 4 and r = - 5 , then
= 4
