Answer:
4/7, 1/4,1/2, 2/3
Step-by-step explanation:
Remember that the general formula for a circle is <span>
(x – h)</span>² + (y – k)² = r²<span>, where (h,k) is the coordinate of the center.
We already know that (h,k) = (5,-4), since we know the center's coordinates. We need to find r, the radius, using the distance between the center and the point (-3,2).
To do this, we can either use the distance formula, or plug in the points in our circle equation and solve for r.
Let's do the second one, plugging in and solving for r.
We can use the point (-3,2) for (x,y):
</span>(x – h)² + (y – k)² = r²
(-3 - 5)² + (2 - -4)² = r²
(-8)² +(6)² = r²
64 + 36 = r²
100 = r²
r = 10
We know that r=10, and that r² = 100
Using h, k, and r, we can now solve for the equation of the circle in standard form.
The equation of the circle is:
(x – 5)² + (y + 4)² = 100
Answer: -6
Step-by-step explanation: Go to -3 on the x-axis of the graph. Find the point where the graph crosses at -3, which gets you the answer of -6.
Answer:
According to steps 2 and 4. The second-order polynomial must be added by 
and 
to create a perfect square trinomial.
Step-by-step explanation:
Let consider a second-order polynomial of the form 
, 
. The procedure is presented below:
1) (Given)
2) 
(Compatibility with addition/Existence of additive inverse/Modulative property)
3) 
(Compatibility with multiplication)
4) 
(Compatibility with addition/Existence of additive inverse/Modulative property)
5) 
(Perfect square trinomial)
According to steps 2 and 4. The second-order polynomial must be added by and to create a perfect square trinomial.
Answer: 8z 8(z)
Explanation: well 8 times z is simply 8(z)I don’t really think there is another way
