First, you want to identify the slopes and y-int.
Equation 1 = y = -2x + 2
Slope = -2
y-int. = 2 or (0,2)
Equationt 2 = y = 2x + 3
Slope = 2
Y-int. = 3 or (0,3)
To graph, first plot the y-intercepts. Then do the slopes.
Slope = -2
Down 2 over 1 (to the right)
Slope = 2
Up 2 over 1 (to the right)
Then just connect the dots in a line!
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:
Answer:
1. Combine the constant terms by adding 7 and –2.
4. Combine the like variable terms by adding the coefficients
5. 5 k and negative 3 k are like variable terms
6.The constants 7 and –2 are like terms.
7. The equivalent expression is 5 + 2 k + n.
SR =sin (angle) = opposite leg/ hypotenuse
sin(52) = SR/ 7.6
SR = 7.6 x sin(52)
SR = 5.988 ( round answer as needed.)
QR = cos(angle) = adjacent leg / hypotenuse
Cos(52) = QR/ 7.6
QR = 7.6 x cos(52)
QR = 4.679. ( round answer as needed).
Angle S = 180 - 90 -52 = 38 degrees
