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Vesna [10]
4 years ago
7

Using the following equation, find the center and radius of the circle. You must show all work and calculations to receive credi

t.
x ²+ 4x + y ²− 6y = −4
Mathematics
1 answer:
In-s [12.5K]4 years ago
4 0
Get into form
(x-h)²+(y-k)²=r²
center is (h,k) and radius is r

complete the square for each
(x²+4x)+(y²-6y)=-4
take 1/2 of each linear coefienet and square it
4/2=2, 2²=4
-6/2=-3, (-3)²=9
add that to both sides
(x²+4x)+4+(y²-6y)+9=-4+4+9
(x²+4x+4)+(y²-6y+9)=9
complete the squares
(x+2)²+(y-3)²=3²
(x-(-2))²+(y-3)²=3²

the center is (-2,3) and radius is 3
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In a box there are 6 orange balls, 4 green balls and "x" blue balls. If the probability of drawing a blue ball is 1/3, what is t
Scorpion4ik [409]

Step-by-step explanation:

I assume it is meant to draw 2 blue balls in a row out of the full pool of balls (no other draws happen before or during this process).

tricky, your teacher.

I think the temptation is to simply say 1/3×1/3 = 1/9.

but is it ?

the probabilty to draw one blue ball out of the complete system (no ball missing) is

x / (6+4+x) = 1/3

x = (6+4+x)/3

3x = 6 + 4 + x = 10 + x

2x = 10

x = 5

so, we have a system of 6 orange, 4 green and 5 blue balls (15 all together) .

the probability at our first pull to draw a blue ball is the indicated 5/15 = 1/3.

but now, for the second ball, we have only 6 orange, 4 green and 4 blue balls in the pool (14 altogether).

and so the probability to draw a blue ball out of this is

4/14 = 2/7.

therefore, the probability to draw 2 blue balls is now the combination

1/3 × 2/7 = 2/21

aha ! so, it is a little bit less than the originally suspected probability of 1/9.

5 0
3 years ago
Item 8 Question 1 A roller coaster ride holds a total of 48 passengers. The ratio of males to females on the ride is 5 : 7. Let
anastassius [24]
Here are the equations
x+y=48
x/y=5/8


but here's how I would solve it

5+7=12
48=12units
divide by 12 both sides
4=1unit

males=5 unit
4=1unit
times 5
20=5unit=males

females=7unit
4=1unit
times 7
28=7unit=females
7 0
3 years ago
Read 2 more answers
The temperature on Monday was -3 degrees Fahrenheit. By Wednesday the temperature was 16 degrees Fahrenheit. What is the differe
Alexeev081 [22]
The temperature went from -3 to 16. The difference between the two numbers (16- -3) = 19 degrees Fahrenheit.

I hope this helps!
4 0
3 years ago
You need to drive to a game that is 250 miles away.
Juli2301 [7.4K]
(250 mi)/(4.5 h) = 55.6 mi/h

B: 56 miles per hour . . . . . . . is closest to the minimum average speed needed
7 0
3 years ago
I need help - where would I move the 1, 10? ill give brainliest!
Ipatiy [6.2K]

Answer:

It's correct!!

Step-by-step explanation:

In the photo 1,10 is placed correctly so is 9,6!!

6 0
3 years ago
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