Answer: 1795.
Step-by-step explanation:
The statement states that it was invented "177 years before".
It also states the year the video game was invented which is 1972.
1972-177=1795.
For a better understanding of the solution provided here please find the diagram attached.
Please note that in coordinate geometry, the coordinates of the midpoint of a line segment is always the average of the coordinates of the endpoints of that line segment.
Thus, if, for example, the end coordinates of a line segment are 
and 
then the coordinates of the midpoint of this line segment will be the average of the coordinates of the two endpoints and thus, it will be:
Thus for our question the endpoints are 
and 
and hence the midpoint will be:
Thus, Option C is the correct option.
Answer: New line = 4AB
Step-by-step explanation:
- If a figure is dilated with a scale factor of k , then the measure of new side length = k x (Original side)
if AB a line through center of parallelogram RSTU is drawn , then, after dealation with scale factor k= 4 , the length of new line through center = 4 x AB or 4AB.
The relationship will the new line have with line AB :
New line = 4AB
Answer:
5. f(x) = 10,000 (1.5)^x
Step-by-step explanation:
We would have to multiply the original amount by 1.50^x because the initial amount would be 1, and 50% increase would be .5 so 1.5 and you raise it to the number of years to show the total increase.
Let's test it.
Initial:
10,000
After 1 year
10,000 + (.5*10000)
10,000 + 5000 = 15,000
After 2 years
15,000 + (.5*15000)
15,000 + 7500 = 22,500
Let's try our equation.
f(x) = 10,000 (1.5)^x
x = 2
10,000(1.5)^2
10,000(2.25) = 22,500
The same!
Hi! I'm happy to help!
To solve for this, we need to understand what a ratio is. A ratio is a comparison between two things. (in numbers) In this case, between pools and hours:
pools:hours
A fraction is also a ratio, in this case we have 2/5, which also compares pools to hours, so we can turn this into a more proper ratio form:
2 pools: 5 hours
2:5
<u>So, our ratio of pools to hours is 2:5.</u>
I hope this was helpful, keep learning! :D
