Recall that r^2 = x^2 + y^2, so that r = sqrt(x^2+y^2).
y
r = 3 sin g becomes sqrt(x^2+y^2) = 3*-----------------------
sqrt(x^2+y^2)
Squaring both sides,
9y^2
x^2+y^2 = -----------------
x^2 + y^2
If this is correct (and I'm not convinced that it is), then (x^2+y^2)^2 = 9y^2
shows the relationship between x and y. Can anyone improve on this result?
Answer:
Step-by-step explanation:
(a) 3 of the 6 numbers on the die are even, so the probability that one of them will show is 3/6 = 1/2.
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(b) 2 of the 6 numbers on the die are less than 3, so the probability that one of them will show is 2/6 = 1/3.
Answer: 50%
Step-by-step explanation:
In 2010 the percentage of fatal accidents was 16%.
This is 34% less than it was in 2000 because the text says that the 2010 percentage was 16% after being reduced by 34% from 2010.
The percentage of fatal accidents in 2000 is therefore:
= 2010 fatal percentage + Percentage reduced from 2000
= 16% + 34%
= 50%
The answer is (-21, 13) for The second endpoint.
Let's start by calling the known endpoint L and the unknown K. We'll call the midpoint M. In order to find this, we must first note that to find a midpoint we need to take the average of the endpoints. To do this we add them together and then divide by 2. So, using that, we can write a formula and solve for each part of the k coordinates. We'll start with just x values.
(Kx + Lx)/2 = Mx
(Kx + 1)/2 = -10
Kx + 1 = -20
Kx = -21
And now we do the same thing for y values
(Ky + Ly)/2 = My
(Ky + 7)/2 = 10
Ky + 7 = 20
Ky = 13
This gives us the final point of (-21, 13)
