Answer:
D) y = 1/3-x
Step-by-step explanation:
The average rate of changes for each of the functions between 0 and 1 is 8, 3, 1, and 2. The average rate of change of y = 3x is 2. Therefore the same average rate of change is 2, which is the function y = 1/3-x
Start with an equation summing all the angles in this triangle:
180 = <M + <N + <P
we are given <M and <N but not <P. But, since MN=NP, the angle <P is the same as the angle <M (isosceles, make a drawing to see). So
180 = 2<M + <N
180 = 2(3x+1) + x-11
180 = 7x - 9
x = 27
<P = 3*27+1 = 82 degrees
Answer:
804 feet
Step-by-step explanation:
Given: Dimension of a basketball court is 84 feet by 50 feet.
Considering the shape of basketball court is in rectangle shape.
∴ Finding the perimeter of rectangle to know total number of feet in one round.
Perimeter of rectangle= 
where, l= length
w= width
∴ Perimeter of rectangular court= 
⇒ Perimeter of rectangular court= 
Opening parenthesis
⇒ Perimeter of rectangular court= 
Hence, Brett run 268 feet in one round of warm up.
As given, Brett ran around the court 3 times.
∴ Total number of feet= 
Hence, Brett jog for 804 feet.
Answer:
Infinitely many
Step-by-step explanation:
12x + 1 = 3(4x + 1) - 2
12x + 1 = 12x + 3 - 2
12x + 1 = 12x + 1
Both sides are equal for all x, so infinite solutions
Answer:
All points on line CD are equidistant from A and B
Step-by-step explanation:
Given that point A is the center of circle A and point B is the center of circle B, and the circumference of circle A passes through the center of circle B which is point B and vice versa.
Therefore we have;
The radius of circle A = The radius of circle B
Which gives;
The distance of the point C to the center A is equal to the distance of the point C to the center B
Similarly, the distance of the point D to the center A is equal to the distance of the point D to the center B
So also the distances of all points on the line from the center A is equal to the distances of all points on the line from the center B.
