Step-by-step explanation:
y = x² + x + 5
y = x + 1
x² + x + 5 = x + 1
x² + 4 = 0
x² = -4
x = ±√-4 undefined
No solutions
Option → B
To find x:
ON is parallel to LM
8x - 8 = 7x + 4
-7x -7x
1x - 8 = 4
+8 +8
1x = 12
--- ---
1 1
x = 12
8(12) - 8 = 7(12) + 4
96 - 8 = 84 + 4
88 = 88
------------------------------------
To find y:
NM is parallel to OL
x - 5 = 3y - 6
12 - 5 = 3y - 6
7 = 3y - 6
+6 +6
13 = 3y
--- ---
3 3
13/3 = y
Check:
12 - 5 = 3(13/3) - 6
7 = 13 - 6
7 = 7
Answer:
3:20
Step-by-step explanation:
The 360 degrees clockwise rotation of the minute hand corresponds to 60 minutes.
The 90 degrees clockwise rotation is one-fourth of the 360 degrees, and hence will corresponds to 15 minutes.
The time is now 3:05.
After 15 minutes the time will be 3:20
Therefore the teacher dismisses the class at 3:20