Given:
A race car game takes 6 points from a player each time the player hits a cone.
To find:
The integer which represents the change in total points if the player hits 10 cones.
Solution:
According to the given information,
1 hit = -6 points
Here, negative sign represents the reduction in points after hitting a cone.
If the player hits 10 cones.
(1 × 10) hit = (-6 × 10) points
10 hit = -60 points
So, the change in total points if the player hits 10 cones is -60.
Therefore, the required integer is -60.
Answer:
(3-4)+2*6=11
Step-by-step explanation:
3-4=-1,
2*6=12
-1+12=11
Answer:
y=-5/3x+13.
Step-by-step explanation:
As a line that is perpendicular to anoher line has a slope that is the negative reciprocal of the line's original slope, we know that the slope of our new line is -5/3. As it passes point (12, -7), we can use the point slope formula which is y-y1=m(x-x1). So plug in, y+7=-5/3(x-12) and that gives us y+7=-5/3x+20 which gives our final answer of y=-5/3x+13.
Answer: (2,2), (4,2)
First, I subtracted 2y from both sides of the second equation. Then, I substituted -2y+6 in for x in the first equation (-2y+6)²+4y²=20. Then, I expanded 4y²-24y+16+4y²=20. Next, I combined like terms, and moved everything to one side 8y²-24y+16=0. Then, I factored out an 8, and then finished factoring 8(y-2)(y-1). This gives me my y-values, y=1,2. Next, I inserted each y-value into the second equation and got x=-2(1)+6 ---> x=4 (The first solution is (4,1). ) and x=-2(2)+6----->x=2 (The second solution is (2,2).
