Answers:
Equation is
Center is (-1, -2)
Radius = 5
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Work Shown:
center = (h,k) = (-1,-2)
radius = 5
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Explanation:
I grouped up the x and y terms separately. Then I added 1 to both sides to complete the square for the x terms. I cut the 2 from 2x in half, then squared it to get 1. In the next step, I cut the 4 from 4y in half to get 2, which squares to 4. So that's why I added 4 to both sides to complete the square for the y terms.
Each piece is factored using the perfect squares factoring rule which is a^2+2ab+b^2 = (a+b)^2
The last equation is in the form (x-h)^2 + (y-k)^2 = r^2
We can think of x+1 as x - (-1) to show that h = -1
Similarly, y+2 = y-(-2) = y-k to show that k = -2
The center is (h,k) = (-1,-2)
The radius is r = 5 because r^2 = 5^2 = 25 is on the right hand side in the last equation above.
Answer:
120
Step-by-step explanation:
We let N be such that
9N = number pear juice bottles,
1N = number of pineapple juice bottles,
2N = number of grapefruit juice bottles.
Then, 20 = 2N, so that N = 10, and
The total number of juice bottles =
9N+1N+2N =
9(10)+1(10)+2(10)=
90+10+20=120
40n (Put up the full time employees hours)
+ 20 (Add the part time employees hours)
> = 260 (> = means greater than or equal to so we use this sign)
Full inequality is 40n + 20 > = 260
They are congruent.
So, 4x - 26 = 3x + 4
x=30
Answer:
or 80.25%
Step-by-step explanation:
Number of blue Marbles = 4
Number of Red Marbles = 5
Total Number of marbles =4+5=9
In the experiment, two marbles are chosen one after the other with replacement.
The possible outcomes are: BB, BR, RB and RR
The probability of getting at least 1 red
=P(BR or RB or RR)
=P(BR)+P(RB)+P(RR)
Expressed as a percentage, we have:
The probability of getting at least 1 red is 80.25%.