Answer:
The equation of the circle is given by:
(x-a)^2+(y-b)^2=r^2
where:
(a,b) is the center of the circle
given that the center of our circle is (2,3) with the radius of 5, the equation will be:
(x+2)^2+(y+3)^2=5^2
expanding the above we get:
x^2+4x+4+y^2+6y+9=25
this can be simplified to be:
x^2+4x+y^2+6y=25-13
x^2+y^2+4x+6y=12
Answer:
Step-by-step explanation:
<u>Step 1: Distribute</u>
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<u>Step 2: Add 10x to both sides</u>
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<u>Step 3: Subtract 6 from both sides</u>
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<u>Step 4: Divide both sides by 7</u>
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Answer:
Answer:
42m/s
Step-by-step explanation:
acceleration = speed/time
7.0 = s/6.0
42.0m/s = speed
Answer:
y = -20
Step-by-step explanation:
Given that y varies directly with x it means changing x will also cause change in y
Mathematically it can be written as:
y∝x
Removing the proportionality symbol
y = kx
Given y=25 when x=5 Putting the values
Now
We have to find the value of y when x = -4
Putting x=-4
Hence,,
y = -20
The last one is rational because it is a terminating decimal.