I am not 100% positive.
10 teams play every other ( = 5) once
10 x 5 = 50 games total
The answers are option C) segment and option D) ray
<u>Step-by-step explanation</u>:
Line :
- A line has arrow mark in the two ends. So, the diagram is not a line.
Point :
- A point represents particular spot as a small dot. So, the diagram is not a point.
Segment :
- It is a piece of line that has two end points. This part of line is called line segment and it is shown in the picture. option C is correct.
Ray :
- A ray is a line with one endpoint and the other end extends with an arrow mark. So, the option D is also correct.
<u>Solution:</u> 48cm/s^2
<u>Working:</u>
A = s^2
Derivate s^2 (as it is area formula) which gives
dA/dt = 2s dL/dt
dL/dt = 6cm/s
Hence,
2(6) = 12
Side: 4cm
Hence,
dA/dt = (4)(12) = 48cm/s^2
<em>Feel free to mark this as brainliest :D</em>
Answer:
x° = 67°
Step-by-step explanation:
1. The first three diagrams are showing you that opposite exterior angles are congruent. Based on that, when you are faced with opposite exterior angles in the fourth diagram, you are able to conclude they are congruent. That means x° = 67°.
2. You can determine the other angles in the figure based on linear angles being supplementary, and same-side interior angles being supplementary. After you work through all the angles, you find that x = 67.
The question is:
Check whether the function:
y = [cos(2x)]/x
is a solution of
xy' + y = -2sin(2x)
with the initial condition y(π/4) = 0
Answer:
To check if the function y = [cos(2x)]/x is a solution of the differential equation xy' + y = -2sin(2x), we need to substitute the value of y and the value of the derivative of y on the left hand side of the differential equation and see if we obtain the right hand side of the equation.
Let us do that.
y = [cos(2x)]/x
y' = (-1/x²) [cos(2x)] - (2/x) [sin(2x)]
Now,
xy' + y = x{(-1/x²) [cos(2x)] - (2/x) [sin(2x)]} + ([cos(2x)]/x
= (-1/x)cos(2x) - 2sin(2x) + (1/x)cos(2x)
= -2sin(2x)
Which is the right hand side of the differential equation.
Hence, y is a solution to the differential equation.
