<u>Using y = mx + b</u>
8y = 4x - 16 ⇒ y = - 2
-x = -2y - 4 ⇒ 2y - x = - 4 ⇒ 2y = x - 4 ⇒ y = - 2
Since the equations have the same slope () and y-intercepts (-2), then they are the same line. Thus, they intersect at every point so have infinite solutions.
Answer: A
The correct answer for 2 is the third choice and 3 is the second one
I'm assuming you don't know the definition of similarity, which is fine, but I want to clarify just in case you don't:
Similarity is when two figures are the same in angles ONLY, and their sizes are proportional. Given this, PQR has a side 20" and TUV's respective side is 6". Now, there's a ratio:
20:6
Now, would you agree that it would then be logical that the perimeter would follow the same ratio? Where
60:P(TUV)?
Hope this helps some!
Use the cumulative frequencies to figure out what the individual frequencies would be. Check out the attached image for the table of x values with their corresponding frequency (f) values. Note how the partial sums add up to the cumulative frequency values.
Once you know the frequency f values, multiply each x and f pair together in each row. The column labeled "x*f" represents each product. Afterward, add up everything in the x*f column to get the final answer 6.8
Answer:
For Q15
1- 48.75 as angles on a straight line
2-111.5 as angles on a straight line
3- 62.75 as angles of a triangle add up to 180
4- 117.25 as angles on a straight line