The correct answer is G. y=15x+80 because y represents the total, 15x represents the number of months times 15 because it increases by 15 members every month. And then you started with 80, so there's plus 80 at the end.
The two points (0,0) and (4,5) are on the line. The points are marked in blue in the attached image below.
Use the slope formula to get
m = (y2-y1)/(x2-x1)
m = (5-0)/(4-0)
m = 5/4 <----- this is the answer in fraction form
m = 1.25 <----- this is the answer in decimal form
The idea of the slope formula is we're subtracting the y values together, then subtracting the x values together in the same order, finally we divide the two results and reduce if possible to get the fraction form. Use long division or a calculator to find the decimal form of the fraction. In this case, the rise is 5 and the run is 4. Meaning we go up 5 units and over to the left 4 units to go from (0,0) to (4,5).
Write <em>z</em> in polar form:
<em>z</em> = 1 + √3 <em>i</em> = 2 exp(<em>i</em> <em>π</em>/3)
Taking the square root gives two possible complex numbers,
√<em>z</em> = √2 exp(<em>i</em> (<em>π</em>/3 + 2<em>kπ</em>)/2)
with <em>k</em> = 0 and <em>k</em> = 1, so that
√<em>z</em> = √2 exp(<em>i</em> <em>π</em>/6) = √(3/2) + √(1/2) <em>i</em>
and
√<em>z</em> = √2 exp(<em>i</em> 7<em>π</em>/6) = -√(3/2) - √(1/2) <em>i</em>
1/14 because you have to have common denominators so you multiply 1/2 by 7/7 and multiply 3/7 by 2/2 so you end up getting 7/14 - 6/14 = 1/14
Answer:
106°
Step-by-step explanation:
These angles are alternate interior, therefore they are equal to each other.
