For 12. Neil's mistake was that he didn't combine like terms of both the constant and numbers with both the variable of k. 9 and -8 are both constants so you combine it and get an answer of 1 since 9+ -8 is 1. 12k and k both have the variable of k so you combine it and get 13k.
The simplified version should be: 13k+1=12k-1
For 13. The third expression would be equivalent to the expression above listed as 12r+6s. The third expression is 4(3r+s)+2s and if you do PEMDAS you will get the same answer. Parentheses, 4 times 3r is 12r and 4 times s is 4s and after that you get 12r+4s+2s. As said before, if they have like terms you combine it so you get 12r+6s and it will equal the same as the one shown above.
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Answer:
see below for the graph
Step-by-step explanation:
The intercept form of a linear equation is ...
x/(x-intercept) + y(y-intercept) = 1
You can put the given equation into this form by dividing by -2. Then you have ...
-x/(-2) +y/(-2) = 1
x/2 + y/(-2) = 1 . . . . . the x-intercept is 2; the y-intercept is -2
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The graph shows the line through these points.
To have a different rectangle with the same perimeter you just have different measurements. If you need an example let me know!
Answer:
It extends the time of the collision
Step-by-step explanation:
The correct option is : It extends the time of the collision.
The padding helmets have cushions inside it that moves inwards when a ball hits the helmets.
When the collision occurs, the time will increase and less force will be exerted on helmet that is why the impact of the collision will be less.
Answer:
![8\frac23\ cm^2](https://tex.z-dn.net/?f=8%5Cfrac23%5C%20cm%5E2)
Step-by-step explanation:
sector of the circle if the angle at the center is 150° means
of full circle of given radius
area of a circle of given radius R is: πR²
so area of given sector: