Answer:
(h,k) = (32,-4)
r = 32
Step-by-step explanation:
The general equation for a circle is given by:
(1)
where (h,k) is the center of the circle and r is the radius.
You have the following equation:
(2)
You first need to complete squares in order to obtain an equation of the form (1). Thus, you have that the second term must be in a perfect square trinomial:
2b = 64
b = 32
Then, you have to sum 32^2 and also subtract the same number in the expression (2):
you compare the last result with expression (1) and obtain that the raiuds of the circle is r = 32
Furthermore, the center of the circle is (h,k) = (32,-4)
Answer:
8
Step-by-step explanation:
34= 4x + 2
-2 -2
32 =4x
/4 /4
x=8
I bought 8 erasers.
Step-by-step explanation:
Since the equation is in vertex form: a(x - h)² + k, we immediately know that the vertex is at (2, 5).
x | y
0 | 13
1 | 7
2 | 5
3 | 7
4 | 13
Answer : The Susana swam the fastest.
Step-by-step explanation :
Speed : It is defined as the distance traveled per unit time.
Formula used :
First we have to determine speed of the following persons.
<u>For Tawni :</u>
Distance = 50 m
Time = 40.8 s
The speed of Tawni is, 1.225 m/s
<u>For Pepita :</u>
Distance = 100 m
Time = 60.2 s
The speed of Pepita is, 1.661 m/s
<u>For Susana :</u>
Distance = 200 m
Time = 112.4 s
The speed of Susana is, 1.779 m/s
From this we conclude that, in this problem meter affects the response and the speed of Susana is more than the Pepita and Tawani.
Thus, Susana swam the fastest.
