Answer:
An equation parallel to 4x + 5y = 19 would be y = -4/5x +12.
An equation perpendicular to 4x + 5y = 19 would be y = 5/4x + 10.
Step-by-step explanation:
The equation given represents a linear equation in Standard Form (Ax + By = C). Lines that are parallel to each other go the same direction and don't touch, so their slopes must be the same. However, lines that are perpendicular go in opposite directions and intersect, so their slopes must be the direct opposite of each other. In order to find the slope, you must first convert from the Standard Form given to Slope Intercept Form (y = mx +b). When you solve the given equation for 'y', you get: y = -4/5x + 19, where the slope = -4/5. To make a parallel equation, simply keep the same slope and choose a different y-intercept ('b'). To make a perpendicular equation, take the direct opposide of your slope 5/4 (positive) and choose a different y-intercept.
Answer:
1.U={1,2,3,4,5}
A={2}
B={2,3}
C={4,5}
2.U={1,2,3,4}
A={1,2}
B={2,3}
C={4}
Step-by-step explanation:
We are given that 
and 
are different sets
1.We have to construct a universe set U and non empty sets A,B and C so that above set in fact the same
Suppose U={1,2,3,4,5}
A={2}
B={2,3}
C={4,5}
{2,3,4,5}
={2}
{2,3,4,5}={2}
={2}
={2}
Hence, 
2.We have to construct a universe set U and non empty sets A,B and C so that above sets are in fact different
Suppose U={1,2,3,4}
A={1,2}
B={2,3}
C={4}
={2,3,4}
={1,2}
={1,2}
={1,2} {2,3,4}={2}
Hence, 
Answer: 
hour
Step-by-step explanation:
Given: The total time Collin spent on 6 songs =
Now, the fraction of an hour does he spend practicing each song is given by :-
The fraction of an hour does he spend practicing each song=
Answer:
I got 2
Step-by-step explanation:
Answer:
8/25
Step-by-step explanation:
8/25 • 2/1 = 16/25. To work this backward, you need to know that any whole number can be converted into a fraction by putting the number over one. 2 = 2/1. divide 16 by 2 and you get 8, and that 8 goes over 25. Then, set up your equation. 2/1 • 8/25 = 16/25.
