Answer:
the y value equals 5
Step-by-step explanation:
(x,y)so
plug in 8 for x
5(8)=40
40 -2y=30
subtract 40 from both sides
-2y=-10
divide by -2
y=5
Answer:
Helene is right
Step-by-step explanation:
Mathematically, the expected values is defined as the sum of all the possible outcomes that an event can have times the probality of the respective outcome:
x = ∑ p *i,
where x is the expected value, i represents every outcome that can occur, and p is the probability of said outcome.
Now, for the case of a dice, the expected value would be:
x = 1 *
+ 2 *
+ 3 *
+ 4 *
+ 5*
+ 6 *
,
as every outcome has the same chance of happenning. Solving we get that:
x=
*(1 +2 +3 +4+5+6) =
* 21 = 3.5
Helene is right.
Answer:

Step-by-step explanation:
step 1
Find the diameter of the circle
the formula to calculate the distance between two points is equal to

substitute the values




The radius is half the diameter
so

step 2
Find the center of the circle
the center of the circle is the midpoint between the endpoints of the diameter
so
The center is


step 3
Find the equation of the circle
The equation of the circle is

substitute the values


5x2y-5x2+3yx2-3y2+x2-y2+8xy2-3y2
First Collect like terms:
5x x 2y, +3x x 2,and +8xy x 2
16x x 2y -4x x 2 - 4y x 2—> Multiply the numbers:
Multiply the numbers 16 x 2
16 x 2 = 32
Now multiply the numbers 4 x 2
4 x 2 = 8
Now Multiply the numbers 4 x 2 again
4 x 2 = 8
= 32xy - 8x- 8y
Factor 8 from the expression
Final Answer:
8(4xy-x-y)
I’m not really sure about my answer but i hope it helps!
Sorry if its wrong..
Stay Safe guys!
Answer:
It was first done by William Jones in 1706