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igomit [66]
2 years ago
12

Identify the center of the circle whose equation is (x - 2)2 + (y + 8)2 = 16.

Mathematics
2 answers:
qwelly [4]2 years ago
7 0
I believe the answer to your question would be x = -y + 2
astra-53 [7]2 years ago
3 0
2x - 4 + 2y + 16 = 16
16 - 4 = 12
2x + 2y + 12 = 16
16 - 12 = 4
4/2 = 2x + y
2/2 = 1x + y
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PLS ANS THIS QUESTION PLS (WITH STEPS) IT WILL BE A GREAT HELP
VARVARA [1.3K]

Answer:

6x² – 10y² + 2xy + 10

Step-by-step explanation:

We'll begin calculating the sum of

x² + 3y² – 6xy and 2x² – y² + 8xy + 8

This can be obtained as follow:

... x² + 3y² – 6xy

+ 2x² – y² + 8xy + 8

¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯

3x² – 2y² + 2xy + 8

¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯

Next, we shall determine the sum of:

–3x² + 4y² + 3 and 4y² – 5

This can be obtained as follow:

–3x² + 4y² + 3

+ 4y² – 5

¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯

–3x² + 8y² – 2

¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯

Finally, we shall subtract the sum of:

–3x² + 4y² + 3 and 4y² – 5

from the sum of:

x² + 3y² – 6xy and 2x² – y² + 8xy + 8

This can be obtained as follow:

.. 3x² – 2y² + 2xy + 8

– (–3x² + 8y² – 2)

¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯

6x² – 10y² + 2xy + 10

¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯

5 0
2 years ago
Sam is renting one of two cars to go on a 300-mile trip. The first car can travel 75 miles on 5 gallons of gas. The second car c
Doss [256]

Solution:

The first car can travel 75 miles on 5 gallons of gas.

So  per mile gas consumed by car=\frac{5}{75}=\frac{1}{15} gallon

The second car can travel 240 miles on 20 gallons of gas.

So  per mile gas consumed by car=\frac{20}{240}=\frac{1}{12} gallon

It mean Sam should rent the First car.

Sam is renting one of two cars to go on a 300-mile trip.

So total number of gallons of gas required=\frac{1}{15}*300=20

Total cost of 20 gallons of gas =\frac{49.42}{14}*20= 70.6 dollar

3 0
2 years ago
Shelly biked 21 miles in 4 hours (part A) what is Shelly's average speed in miles per hour (part B) at the same rate how many ho
Alex73 [517]

A) Divide total miles by total time:

21 miles /  4 hours = 5.25 miles per hour.

B) Divide miles by miles per hour:

42 miles / 5.25 miles per hour = 8 hours.

3 0
2 years ago
3x + 40 = 11x -24<br><br> What does x equal?
pogonyaev
First, you would have to do 11x + 3x Since you're combining like terms.

Now your problem is 14x + 40 = -24

Now you would do 40 - -24 which is now 40+24 and equal to 64.

Now you divide 14 by 64 and you get 4.5
4 0
3 years ago
Read 2 more answers
PLEASE HELP GIVING 25 POINTS!! -3x + 12 &lt; 18
Volgvan

Answer:

x > -2

Step-by-step explanation:

-3x + 12 < 18

Subtract the 12 from both sides and you'll get:

-3x < 6

Divide by -3

x > -2

You flip the sign when you mulitply by a negative number

Hopefully this helps, sorry if it doesn't

8 0
3 years ago
Read 2 more answers
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