13 m ...?.........;;;;;;;;;
divide both sides by a negative one to get ride of the -y then on your graph it be a horizontal line at the point (0,-34)
<h3>Given</h3>
A(-3, 1), B(4, 5)
<h3>Find</h3>
coordinates of P on AB such that AP/PB = 5/2
<h3>Solution</h3>
AP/PB = 5/2 . . . . . desired result
2AP = 5PB . . . . . . multiply by 2PB
2(P-A) = 5(B-P) . . . meaning of the above
2P -2A = 5B -5P . . eliminate parentheses
7P = 2A +5B . . . . . collect P terms
P = (2A +5B)/7 . . . .divide by the coefficient of P
P = (2(-3, 1) +5(4, 5))/7 . . . . substitute the given points
P = (-6+20, 2+25)/7 . . . . . . simplify
P = (2, 3 6/7)
Answer:
- 12 large rooms
- 8 small rooms
Step-by-step explanation:
If all were small rooms, 40 guests could be accommodated. Each large room accommodates 1 more guest, so there must be 52 -40 = 12 large rooms. The remaining 20 -12 = 8 rooms are small rooms.
Jayden reserved 12 large and 8 small rooms.
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If you can't think without an equation, let x represent the number of large rooms. Then the number of guests accommodated is ...
3x + 2(20-x) = 52
x + 40 = 52
x = 52 -40 = 12 . . . . . . .number of large rooms
(20-x) = 20-12 = 8 . . . . number of small rooms
