Answer:
The comet might intersect the orbiting planet at (0, -4),
.
Step-by-step explanation:
Given that, a planet follows an elliptical path described by
.........(1)
A comet follows the parabolic path
.........(2)
To find the intersecting point, we need to solve the above equations.
Putting in the equation (1)
When y = -4 , then 
When 
, then 
The comet might intersect the orbiting planet at (0, -4),.
Hello,
If the teacher has 1/2 of an eraser, and she divides it into 2 pieces to give 1 to each of her students, she gives (1/2) / 2 = (1/2) * (1/2) = 1/4 of the eraser to each student.
Each student takes home 1/4 of the eraser.
Hope this helps!
Let h = number of hours she worked on Monday
Given that she makes <span>$9 per hour, it is 9 x h or 9h.
If her tips is a fixed </span><span>$15 amount, then we simply add 15.
9h + 15
This expression above is the amount she made last Monday.
Since she made no less than </span>$110, meaning she made more than <span>$110 last monday.
The final inequality is: 9h + 15 > 110.
</span>
Answer:
B. 180° about the origin
Step-by-step explanation:
You are given a figure and its image, and asked to determine the angle of rotation. All of the answer choices indicate the center of rotation is the origin.
__
You have two clues that the rotation is 180° about the origin:
- The original figure is in the 2nd quadrant, and the image is in the 4th quadrant, directly opposite the origin.
- Line ST is directed to the northeast; line S'T' is directed to the southwest, in exactly the opposite direction.
__
To find the angle of rotation, you can look at the angle formed by a point, the center of rotation, and the image of the original point. Here, the angle UOU' is a straight angle, so the angle of rotation about O is 180°--the measure of that angle. (It can be convenient to use points close to the center of rotation, but any corresponding points on preimage and image will do.)
