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seropon [69]
1 year ago
8

A circle with the equation (x + 6)2 + (y + 3)2 = 16 is reflected over the line x = 2.

Mathematics
1 answer:
fomenos1 year ago
6 0

Answer: (x-10)^{2}+(y+3)^{2}=16

Step-by-step explanation:

We know the center of the original circle is (-6, -3). After reflecting this over the line x=2, the new center is now (10, -3).

Thus, the equation of the circle is (x-10)^{2}+(y+3)^{2}=16.

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Pls help fast !! Thanks
Pavlova-9 [17]

Answer:

A. 8fg + 3h

Step-by-step explanation:

4f × 2g + 3h \\  \\  = 4 \times 2 \times f \times g + 3h \\  \\  = 8fg + 3h

8 0
3 years ago
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You have a six-sided die that you roll once. Let Ri denote the event that the roll is i. Let G j denote the event that the roll
Misha Larkins [42]

Answer:

a. P (R3 | G1)=\frac{1}{5}

b. P (R6| G3)= \frac{1}{3}

c. P(G3|E)=\frac{2}{3}

d. P (E|G3)=\frac{2}{3}

Step-by-step explanation:

The sample space associated with the random experiment of throwing a dice is is the equiprobable space {R1, R2, R3, R4, R5, R6}. Then,

a. The conditional probability that 3 is rolled given that the roll is greater than 1? P (R3 | G1) = \frac{P (R3\bigcap G1)}{P(G1)} = \frac{1/6}{5/6} = \frac{1}{5}

b. What is the conditional probability that 6 is rolled given that the roll is greater than 3? P (R6| G3) = \frac{P (R6\bigcap G3)}{P(G3)} = \frac{1/6}{3/6} = \frac{1}{3}

c. What is P [GIE], the conditional probability that the roll is greater than 3 given that the roll is even? P(G3|E) = \frac{P (G3\bigcap E)}{P(E)} = \frac{2/6}{3/6} = \frac{2}{3}

d. Given that the roll is greater than 3, what is the conditional probability that the roll is even? P (E|G3) = \frac{P (E\bigcap G3)}{P(G3)} = \frac{2/6}{3/6} = \frac{2}{3}

6 0
3 years ago
Kylie and Ethan have each saved some money. I’m their savings, each coin is worth leas then 50 cents and each bill is less then
timofeeve [1]

Answer:

Kylie could have a $5 bill and seven quarters while Ethan could have two $1 bills and forty pennies.

Step-by-step explanation:

Since Kylie has seven quarters, that is seven multiplied by the value of the quarter, a quarter is 25 cents. So 7 x 25 = 125 OR $1 and 25 cents. Leaving Kylie with a total of $7 and 25 cents with the addition of the $5 bill.

Ethan has two $1 bills and forty pennies, forty multiplied by the value of the penny, a penny is 1 cent. So 40 x 1 = 40 OR 40 cents. Leaving Ethan with $2 and 40 cents with the addition of the two $1 bills from earlier.

Ethan has more bills and coins than Kylie and yet still has less money than Kylie.

7 0
3 years ago
Lindsay is very excited to be getting a great deal on an iPad. It was originally $500 but she will only be paying $325. what per
Veseljchak [2.6K]
To find what she saved you need to subtract
500-325= 175
then take 175 divided by the original price (500) to get a percentage so
175÷500=0.35
0.35= 35%
so your answer is she saved 35%
6 0
3 years ago
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earnstyle [38]
So I'm guessing that the x2 is your way of saying 2 is the exponent right? In that case the equation would be 8x^2 + 12x
Well you would have to pull out the gcf which in this case will be 4x after pulling out the gcf you should get 4x(2x + 3)
8 0
3 years ago
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