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guapka [62]
2 years ago
13

The equation of a circle is (x – 3)2 +(+8)2 = 36. Relative to the standard equation of a circle (zº+y? = r?), how has

Mathematics
1 answer:
Zolol [24]2 years ago
7 0

Answer:

A. The circle has been shifted 3 units to the right and 8 units down, r=6

Step-by-step explanation:

Recall that the equation of a circle is (x-h)^2+(y-k)^2=r^2 where (h,k) is the center of the circle and r is the radius.

Given that the equation is (x-3)^2+(y+8)^2=36, this tells us that the center of the circle is at (h,k)\rightarrow(3,-8) and the radius is r=6. Since the value of h represents the amount of horizontal shift from the origin and k represents the amount of vertical shift from the origin, then the circle was shifted 3 units to the right and 8 units down.

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Y=x-4 y=4x+2<br> whats the solution of system equations
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Answer:

X=-2

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Step-by-step explanation:

Since both equations are already expressed in the simplest form of y, then we equate them to be equal hence

x-4=4x+2

Bringing like terms together

-4-2=4x-x

Solving both sides

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Making x the subject then

X=-6/3=-2

Subsrituting the value of x into any of the initial equations

Y=x-4 then y=-2-4=-6

Therefore, the solution is

X=-2

Y=-6

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Step-by-step explanation:

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1) Complete the following items dealing with sets.
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Quation that show an estimate of 7,203+299
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The two numbers are very near 7200 and 300. The sum of those is a good estimate of your sum:

... 7200 + 300 = 7500

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If you're taught methods of addition that include "make a ten" or "make a hundred", you know you can "borrow" a 1 from 7203 (making it 7202) and loan that 1 to 299 to make it 300. Now, you know your sum is exactly 7202+300 = 7502, with no estimation necessary.

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3 years ago
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