Maurice wants to create a set of elliptical flower beds. To do this, he first plots the location of the two fruit trees on his graph.
Maurice has to use the equation a^2-b^2=c^2. We know that c=3, and because we need 1 more number to solve for b, I made a=6. 6^2-b^2=3^2. 36-b^2=9. b^2=27. b=5.196
<span>Next, to create the equation, we substitute what we know into the equation x^2/a^2 + y^2/b^2=1 and get x^2/36 + y^2/27=1. Johanna wants to create some hyperbolic flower beds.
We already know that c=3 so this time I decided a=1. 3^2=1^2+b^2. 9=1+b^2. 8=b^2. b=2.828
Next, to create the equation, we substitute what we know to the equation x^2/a^2 - y^2/b^2 = 1. x^2/1^2 - y^2/2.828^2 = 1. </span>
Answer:
(4, -2)
Step-by-step explanation:
Xb = 1 + (1-(-2)) = 1+3 = 4
Yb = 0 + (0-2) = 0-2 = -2
point B (4, -2)
To determine the probability, the formula is by number of successful outcomes divided by number of possible outcomes. The number of possible outcomes in this problem is 4.
So to compute the probability distribution:
The number of times that 0 G appeared is 0.25 which is represented by BB which is 1/4.
The number of times that 1 G appeared is .5 which is represented by BG and GB which is 2/4.
The number of times that 2 G appeared is .25 which is represented by GG which is 1/4.
The probability distribution will look like this:
X Px(x)
0 .25
1 .5
2 .25
Answer: 3/4
Step-by-step explanation:
Tangent is opp/adj
Therefore tan (x) = 18/24, which reduces to 3/4
