A circle’s standard form of an equation is:
(x-h)^2 + (y-k)^2 = radius^2
Plug in h and k immediately because that is something you automatically know. H and k are derived from the center of the circle. The center of the circle is (h,k). Don’t get tripped up though, your center of a circle has negative coordinates. When you have two negatives, they become positive.
So now you have:
(x+4)^2 + (y-2)^2 = radius^2
So figure out what the radius is. Use the distance formula to find out. You have a change of 5 from -4 to 1 in x. You have a change of 2 from 2 to 4 in y. Distance formula has the distance as the square root of x distance squared and y distance squared. That would mean that the distance/radius is equal to the square root of (25 + 4). 5 squared is 25 while 2 squared is 4.
The radius of the circle is equal to the square root of (29). However, looking back at the circle equation the radius should be squared for the equation. Square root of 29 squared gets you 29.
Plug that in and you get:
(x+4)^2 + (y-2)^2 = 29
The answer is D.
The first step is to use the distributive property and turn 5(x-4) into 5x - 20.
You then move the twenty into the right equation by adding 20 to both sides. The final step is to move the 3x into the left equation by subtraction and then dividing both sides by 2 to isolate x. Hope this helped !!
Answer:
The angular speed of the wheel in radians per second is 0.66.
Step-by-step explanation:
Recall the following statement:
A linear speed (v) is given by,
...... (1)
Here, 
represents the angular speed of the wheel and <em>r</em> represents the radius of the wheel.
From the given information:
Linear speed (v) = 33 cm/s
Radius of the wheel (r) = 50 cm
Now to find the angular speed in radian per second.
Divide both sides by 50.
Hence, the angular speed of the wheel in radians per second is 0.66.
Answer:
i cannot say that i am perfect or good in math but if there is any problem then i will try to solve.
Step-by-step explanation:
