To solve this problem you must apply the proccedure showb below:
1. You have the following equation:
<span> 2x^2+9y^2=18
2. Dividing the equation by 18, you have:
(x^2/9)+(y^2/2)=1
3. The center is:
[</span>(x-0)^2/9]3^2[(y-0)^2/√2]=1
<span>
(h,k)=(0,0)
The center is (0,0)
4. The vertices are:
a^2=9
a=3
Vertices: (-3,0) and (3,0)
5. The foci is:
c^2=a^2-b^2
c=</span>√7
<span>
The foci is: (-</span>√7,0) and (√7,0)
Amount in the bank account = 1000(1 + 0.05)^5 = $1,276.28
Answer:
6720 quarts could be made in 48 hours.
The rate per day is 3360
Step-by-step explanation:
280/2 = 140 per hour.
In 24 hours ( a whole day) 24 x 140 = 3,360
In 48 hours (2 days) 3,360 x 2 = 6720 or 48 x 140= 6720
Answer:
a. (-3, 2).
b. √65
c. (x + 3)^2 + (y - 2)^2 = 65
Step-by-step explanation:
a. The center is the midpoint of the diameter PQ.
= (-10+4)/2, (-2+6)/2
= (-3, 2).
b. The radius is the distance from the center to a point on the circle.
Take the point (4, 6):
The radius = √((-3-4)^2 + (2-6)^2)
= √65.
c. The equation of the circle is:
Using the standard form
(x - h)^2 + (y - k)^2 = r^2 where (h, k) is the center and r = the radius:
it is (x - (-3)^2 + (y - 2) = 65
= (x + 3)^2 + (y - 2)^2 = 65.
