Answer:
A
Step-by-step explanation:
plug the points into the slope formula
slope = (y2 - y1)/(x2 - x1) Then you get the slope of -0.5
(5 - -1))/(-6-6)
6/-12
-0.5
Plug a point in to the equation of y = -0.5x + b
-1 = -0.5(6) +b
2 = b
Let x = quantity of bicycles
($160x) - ($80x) = $2800. To solve for x, we have to combine the terms on the left side.
$80x = $2800. Divide each side by $80.
x = 35.
35 bicycles must he sold each month to break even.
Answer B I’m not sure if it’s right
Step-by-step explanation:
Let the equation of the line be y = mx + c
since the line is parallel to y = -1/2x + 1, the two lines have the same gradient.
therefore, m = -1/2
sub (-4, -1):
-1 = -1/2(-4) + c
c = -3
therefore equation of the line is y = -1/2x - 3
This question demands knowledge on coordinate geometry's slope intercept form and finding unknowns. If you would like to venture further, you can check out my Instagram page (learntionary). Thanks!
Answer:
d. 
Step-by-step explanation:
![\displaystyle [3 + i]^2 = [3 + i][3 + i] = 9 + 6i + i^2 → 9 + 6i - 1 → 6i + 8](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5B3%20%2B%20i%5D%5E2%20%3D%20%5B3%20%2B%20i%5D%5B3%20%2B%20i%5D%20%3D%209%20%2B%206i%20%2B%20i%5E2%20%E2%86%92%209%20%2B%206i%20-%201%20%E2%86%92%206i%20%2B%208)
Therefore, the d-value is 6.
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![\displaystyle \sqrt{-1} = i \\ -1 = i^2 \\ -i = i^3 \\ 1 = i^4\:[every\:multiple\:of\:4]](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Csqrt%7B-1%7D%20%3D%20i%20%5C%5C%20-1%20%3D%20i%5E2%20%5C%5C%20-i%20%3D%20i%5E3%20%5C%5C%201%20%3D%20i%5E4%5C%3A%5Bevery%5C%3Amultiple%5C%3Aof%5C%3A4%5D)
I am joyous to assist you anytime.