The equation is 5c+25b=260 when c+b=12. rearrange that into 12-b=c. substitute and you get 5(12-b)+25b=260. b=10. 12-10=2, so 10 buses and 2 cars were used as transportation for the field trip.
The coordinates of the focus of the parabola are (4 , 0)
Step-by-step explanation:
The standard form of the equation of the parabola is
(x - h)² = 4p(y - k), where
- The vertex of the parabola is (h , k)
- The focus is (h , k + p)
- The directrix is at y = k - p
∵ The equation of the parabola is 12(y + 3) = (x - 4)²
- The form of the equation is (x - h)² = 4p(y - k), compare
between them to find h, k and p
∴ h = 4
∵ - k = 3
- Multiply both sides by -1
∴ k = -3
∵ 4p = 12
- Divide both sides by 4
∴ p = 3
∵ The coordinates of the focus are (h , k + p)
∵ h = 4 , k = -3 , p = 3
∴ k + p = -3 + 3
∴ k + p = 0
∴ The focus is (4 , 0)
The coordinates of the focus of the parabola are (4 , 0)
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Answer:
106 million tons
Step-by-step explanation:
Plastic takes up 24%, metal 8%, and 'other trash' 21%. Add those up and you get that those three take up a total of 53%. Now multiply 200 by 53% and you have 106 million tons.
Answer:
a
Step-by-step explanation:
Answer:
Im not sure about it.
Step-by-step explanation:
First make the y on a side alone without anything by multiplying both sides by 2 then dividing by three, then substitute the x by the x value of x represented in the ordered pairs, and if the the result was the same value for y as represented in the ordered pair, then the ordered pair is correct.
