Answer:
- (x-4.5)^2 +(y +5)^2 = 30.25
- x = (1/8)y^2 +(1/2)y +(1/2)
- y^2/36 -x^2/64 = 1
- x^2/16 +y^2/25 = 1
Step-by-step explanation:
1. Complete the square for both x and y by adding a constant equal to the square of half the linear term coefficient. Subtract 15, and rearrange to standard form.
(x^2 -9x +4.5^2) +(y^2 +10y +5^2) = 4.5^2 +5^2 -15
(x -4.5)^2 +(y +5)^2 = 30.25 . . . . . write in standard form
Important features: center = (4.5, -5); radius = 5.5.
__
2. To put this in the form x=f(y), we need to add 8x, then divide by 8.
x = (1/8)y^2 +(1/2)y +(1/2)
Important features: vertex = (0, -2); focus = (2, -2); horizontal compression factor = 1/8.
__
3. We want y^2/a^2 -x^2/b^2 = 1 with a=36 and b=(36/(3/4)^2) = 64:
y^2/36 -x^2/64 = 1
__
4. In the form below, "a" is the semi-axis in the x-direction. Here, that is 8/2 = 4. "b" is the semi-axis in the y-direction, which is 5 in this case. We want x^2/a^2 +y^2/b^2 = 1 with a=4 and b=5.
x^2/16 +b^2/25 = 1
_____
The first attachment shows the circle and parabola; the second shows the hyperbola and ellipse.
Answer:
-40+44i
Step-by-step explanation:
4(-10+11i) = -40+44i
hope its clear
Answer:
Step-by-step explanation:
That means that the given expressions are equal.
100 - 2.5x = 100 + 2.5(5 - x)
100 - 2.5x = 100 + 12.5 - 2.5x
There is no solution to this.
Solution :
It is given that Little Snail is going to visit one of his friend at the pond which is 3 miles away.
When the snail crawls 1/2 of a mile per day, it will take him, 
= 6 days to get to the next pond.
When the snail crawls 1/3 of a mile per day, it will take him, 
= 9 days to get to the next pond.
When the snail crawls 1/4 of a mile per day, it will take him, 
= 12 days to get to the next pond.
When the snail crawls 3/4 of a mile per day, it will take him, 
= 4 days to get to the next pond.
When the snail crawls 2/3 of a mile per day, it will take him, 
= 4.5 days to get to the next pond.