10. 8x+4y=4. y=mx+b
-8x. -8x
4y=-8x+4
÷4. ÷4. ÷4
y = -2x +1
slope = -2. y-int= 1
11. slope is changing y over changing x
m = (y2 -y1)/(x2-x1) (0,-1) x1 = 0, y1=-1
(-4-(-1))/(-2-0) (-2,-4) x2 = -2, y2 = -4
(-4 + 1) / (-2)
-3/-2 = 3/2 answer is 3/2
12. b because negative cause it flip in x axis and it become flatter because of the fraction.
13. 2y =8-8x
÷2. ÷2 ÷2
y = 4 - 4x
Answer A
14. B
Answer:
<em>5</em><em> players participated in the tournament.</em>
Step-by-step explanation:
In a small chess tournament, 20 matches were played.
Let us assume that n number of players participated in the tournament
As in each game 2 players play, so the number of ways they can play is,
As they played 2 games with every other participant in the tournament.
So the total number of games is,
But it is given to be 20, so
As , so we get n=5.
Therefore, 5 players participated in the tournament.
Graph A shows a consistent relationship between time and distance. We know this fact because as seen in graph A the line is straight and progresses without any changes. The slope and line is consistent, meaning that the relationship between time and distance is also consistent. Some differences between graph a and b is that graph b does no carry on in a straight line, it goes up and down and isn’t consistent. One difference is that graph a has a direct positive relationship, meaning that as the x variable increases, so does the y variable. This isn’t true for graph b though.
Xavier spent $84 on supplies (so this is an expense we will make only once), and then he will spend one more dollar for each canvas. So, his total expense for paintings will be
Similarly, he will get 8 dollars for each painting, so he will earn
dollars if he will sell paintings.
In order to break even, earnings and costs must be equal:
Subtract p from both sides:
Divide both sides by 7:
So, he has to sell at least 12 paintings to break even.
The area is 20 cm²
Explanation:
0.05 m as centimeters is 5 cm so the formula to find the area of a triangle is base times height divided by two so we take the base eight times the Height five and divided by by two to get 20 cm²