(a) 4
(b) y = sqrt(9 - (9/16)x^2)
The best guess to the formula using knowledge of the general formula for an ellipse is:
x^2/16 + y^2/9 = 1
(a). An ellipse is reflectively symmetrical across both the major and minor axis. So if you can get the area of the ellipse in a quadrant, then multiplying that area by 4 would give the total area of the ellipse. So the factor of 4 is correct.
(b). The general equation for an ellipse is not suitable for a general function since it returns 2 y values for every x value. But if we restrict ourselves to just the positive value of a square root, that problem is easy to solve. So let's do so:
x^2/16 + y^2/9 = 1
x^2/16 + y^2/9 - 1 = 0
x^2/16 - 1 = - y^2/9
-(9/16)x^2 + 9 = y^2
9 - (9/16)x^2 = y^2
sqrt(9 - (9/16)x^2) = y
y = sqrt(9 - (9/16)x^2)
Answer:
The scale factors that make figure smaller are the option D. -0.5 and the option E. 0.25
Step-by-step explanation:
we know that
If the absolute value of the scale factor is greater than 1, then the image will be larger than the pre-image.
If the absolute value of the scale factor is less than 1, then the image will be smaller than the pre-image.
If the absolute value of the scale factor is equal to 1, then the image will be the same size than the pre-image.
Additionally, a negative scale factor causes the dilation to rotate 180 degrees
therefore
In this problem
The scale factors that make figure smaller are the option D. -0.5 and the option E 0.25
Answer:
7:45
Step-by-step explanation:
Since they both turn red at differnt times, you have to find a multiple to find the time they will be both on
Main St: 7, 14, 21, 28, 35, 42, 49, 56, 63, 70, 77, 84, 91, 98, 105
Elm St. 15, 30, 45, 60, 75, 90, 105
They will both turn on 105 minutes or 1 hour and 45 minutes from 6
6 + 1 hr 45 min = 7:45
Answer:
perpendicular lines
Step-by-step explanation:
because they intersect, they do not go even next to each other forever.
For 9. the third table and for 10. the second table
