Answer:
The coordinates of other point are: (5,1)
Step-by-step explanation:
Given coordinates are:
M(x,y) = (2,4)
R(x_1,x_2) = (-1,7)
We have to find the coordinates of other point (x2,y2)
The formula for mid-point is given by:
Putting the values we get
Putting respective elements equal
Hence,
The coordinates of other point are: (5,1)
Answer: All possible solutions would be
(1,41), (8,33), (15,25), (22,17), (29,9), (36,1)
Step-by-step explanation:
Let the number of vehicle of type A be 'x'.
Let the number of vehicle of type B be 'y'.
Since we have given that
Number of axles of type A = 2
Number of axles of type B = 9
After 2 hours, number of counts = 101
so, our equation becomes,
So, all possible solutions would be
(1,41), (8,33), (15,25), (22,17), (29,9), (36,1)
Answer:
°
Step-by-step explanation:
The law of sines is a property of all triangles that relates the sides and angles of a triangle. This property states the following:
Where side (A) is the side opposite angle (<a), side (B) is the side opposite angle (<b), and side (C) is the property opposite angle (<c).
Substitute each of the sides and respective angles into the formula, and solve for the unknown angle (<x). Please note that a triangle with two congruent sides (referred to as an isosceles triangle) has a property called the base angles theorem. This states that the angles opposite the congruent sides in an isosceles triangle are congruent. Therefore, there can be two (<x)'s in this triangle.
One can shorten the equation so it only holds the parts that will play a role in solving this equation,
Now take the cross product in this equation to simplify it further,
Inverse operations, solve this equation for (x),