Answer:

Step-by-step explanation:
To find the distance between a point (m, n ) and the line
Ax + By + C = 0
d = 
Here (m, n) = (6, 2) and rearranging the line
6x - y + 3 = 0 ← in general form
with A = 6, B = - 1 and C = 3 , then
d = 
= 
=
Rationalise the denominator by multiplying numerator/ denominator by 
=
×
=
← cancel 37 on numerator/ denominator
= 
Answer:
12 is to the right of -15 on a number line.
Step-by-step explanation:
Hope this helps! - CJ
Answer:
Step-by-step explanation:
hello,
so we know y in terms of t and x in terms of t and we need to find y in terms of x

and then

hope this helps
Answer:

Step-by-step explanation:

You need to complete the square on the right side.







Answer:
If we are to make x small rugs, each of which takes 2 hours to dye, then the total time taken to dye the small rugs is 2x. Similarly for the y large rugs which each take 3 hours to dye, the total time for dyeing the large rugs is 3y. Therefore the total for all sizes of rugs is 2x + 3y. Finally, we have a maximum of 60 available hours for the dyeing, so the total time cannot exceed 60, and the final inequality is
2x + 3y < 60
Step-by-step explanation: