Answer:
The center is at (0,0)
The vertices are at ( (
±2 sqrt(2),0)
foci are (
±sqrt(5),0)
Step-by-step explanation:
3x^2 + 8y^2 = 24
Divide each side by 24
3x^2 /24 + 8y^2/24 = 24/24
x^2/8 + y^2 /3 = 1
The general equation of an ellipse is
(x-h)^2/ a^2 + (y-k)^2 / b^2 = 1
a>b (h,k) is the center
the coordinates of the vertices are (
±a,0)
the coordinates of the foci are (
±c,0), where ^c2=a^2−b^
2
The center is at (0,0)
a = sqrt(8) = 2sqrt(2)
The vertices are at ( (
±2 sqrt(2),0)
c = 8 - 3 =5
foci are (
±sqrt(5),0)
Answer:
1 inch
Step-by-step explanation:
If we call the thickness of the frame x, then the dimensions of the glass are:
w = 8 − 2x
h = 10 − 2x
The area of the glass is width times height:
48 = (8 − 2x) (10 − 2x)
Distribute and simplify:
48 = 80 − 16x − 20x + 4x²
0 = 4x² − 36x + 32
0 = x² − 9x + 8
Factor and solve:
0 = (x − 1) (x − 8)
x = 1 or x = 8
x can't be more than 4 (half the width of the frame), so x = 1 inch.
Answer:
89.62
Step-by-step explanation:
Look at the 3rd place of decimals - this is 6 so we add one to the second place.
Answer:
98.1
Step-by-step explanation:
one tenth equates to 0.1
Therefore the answer is 98+0.1=98.1