Step-by-step explanation:
A line can be translated over to form a line. Since the line has the same slope, the only thing different is y intercept. Since a Translation is a rigid transformation, they perseve distance. So this will be true for all lines.
Key Concept: The distance between two parallel lines and is the difference in y intercepts.
10. The y intercept is 7 and -2
So the distance is
or
Rember Distance is a scalar, so it is positve.
So we take absolute value of both answer
So the answer for 10 is 9.
11. The distance is 3 because |4-1|=3 or |1-4|=3 so the distance is 3.
12. The distance is 2
13.The distance is 8.
Answer:
Look at the image.
Step-by-step explanation:
If 12 is 24%, then half of the percent is the actual number.
36% = 18
24% = 12
18% = 9
22% = 11
18 + 12 + 9 + 11 = 50
18 students would like to learn Spanish.
Answer:
Isolate the variable by dividing each side by factors that don't contain the variable.
Exact Form:
x=64/5
Decimal Form:
x=12.8
Mixed Number Form:
x=12 4/5
Answer: 6 apples
Step-by-step explanation: 4 + 2 = 6
Answer:
only students who have recess at 12 p.m. or later may go out
Step-by-step explanation:
Let the time after midnight be represented by t, and the temperature be y. Since the temperature increases by 1.2 degrees Fahrenheit each hour, the time taken to reach 32 degrees Fahrenheit can be gotten from:
y = 1.2t + 18
put y = 32
32 = 1.2t + 18
1.2t = 14
t = 14/1.2 = 11.67 hours
Since the recess starts at half hour or hour, hence the recess would start at t = 12 hours, i.e. at 12 p.m.
Hence only students who have recess at 12 p.m. or later may go out
