Answer: The point (5, 6) would divide the line segment so it is in the ratio of 3:5.
If the ratio of the line segment needs to be 3:5, that means the point will be at the 3/8 distance mark of the line segment. Because there are 8 total parts if the ratio is 3:5 (3 + 5 = 8).
The slope from (2, 9) to (10, 1) is -8/8. So our point would only move 3/8 of that distance. If we multiply -8 and 8 by 3/8, we have -3 and 3.
That means our point must fall 3 and move to the 3 spaces from our starting point of (2, 9). That will put us at (5, 6).
You have to use the Law of Cosines here, since there's no other way to solve this. it's not a right triangle, so you can't use the Pythagorean Theorem. The Law of Cosines will help us find the missing side length then we will have to use the Law of Sines to find another angle. Then after that we will use the Triangle Angle-Sum theorem to finish it off. Ready? The Law of Cosines to find side b is

and fill in the info we know, which is everything but the b.

. Doing all that math gives us that side b = 40.9 or 41. Now the Law of Sines to find missing angle A or C. Let's find A.

. That gives us that angle A is 29. Now use the fact that all triangles add up to 180 to get that angle C is 42. And you're done!
Answer:
My answer would be y=2x+1
Step-by-step explanation:
Answer:
Step-by-step explanation:
Let's FOIL this out and get it into standard quadratic format:
. The lack of a linear term in the middle means therewas no upwards velocity, consistent with the object being dropped straight down as opposed to thrown up in the air tand then falling in a parabolic path. The -4.9t² represents the acceleration due to gravity, and the 490 represents the height from which the object was dropped. The constant in a quadratic that is modeling parabolic motion always represents the height from which the object was dropped (or launched). That's how you know.