Answer:
y = 1/2x -2
Step-by-step explanation:
The 2-point form of the equation for a line is useful for answering questions like this.
y = (y2 -y1)/(x2 -x1)(x -x1) +y1 . . equation of a line through (x1, y1) and (x2, y2)
Filling in the given points, the equation becomes ...
y = (-4 -(-5))/(-4 -(-6))/(x -(-6)) -5
y = 1/2(x +6) -5
y = 1/2x -2
B. Y = <span>|x| - 2
when moving left or right...meaning moving horizontally.......the number is added inside the parenthesis.
This one is moving up or down ....meaning moving horizontally........so the number is added outside the parenthesis. If it moves up then add(+)..........if it moves down then subtract(-). The formula used for horizontal shifts is, y=lXl + k
.Here k will become negative or remain positive based on the given data.
Now,
It's a horizontal shift, so we can eliminate C and D.
It moves down so we will subtract and therefore we can eliminate A
so the answer is B.
lets check our answer by using the formula
Y = lxl + k
moves 2 units down so our k = (-2)
Y = lxl + (-2) [substitute k]
Y = lxl - 2
</span>
Answer:
(-3, 3√3)
Step-by-step explanation:
Evaluate each of the coordinates. Keep or drop the "i" as your convention requires.
6(cos(120°), i·sin(120°)) = (6·cos(120°), i·6·sin(120°)) = (6(-0.5), i·6·√3/2)
= (-3, 3√3 i)
You may want the (x, y) coordinates written as (-3, 3√3).
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In the complex plane, this is -3+i·3√3.
Answer:
Independent Events
Step-by-step explanation:
Given
Required
Dependent or independent event
The probability of selecting a green jelly remains unchanged before and after selecting the first orange jelly.
<u>Before selecting the orange jelly:</u>


<u>After selecting the orange jelly:</u>


Because the probabilities remain unchanged, the selection of a green jelly is independent of the selection of the first orange jelly.