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FrozenT [24]
3 years ago
9

Triangle△ABC is rotated -120 about point P to create △ABC

Mathematics
1 answer:
yawa3891 [41]3 years ago
4 0
Where’s point P at though
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The owner of an orange grove estimates that if 24 trees are planted per acre, then each mature tree will yield 600 oranges per y
tia_tia [17]

Answer:

16428 oranges

Explanation:

Total yield = number of trees × number of oranges in each tree

Initial yield = 600×24= 14400 oranges

To find the equation needed, let x = additional trees and y= total yield

Number of trees = 24 +x

Number of oranges in each tree = 600-12x

Equation of total yield y= (24+x)(600-12x)

y= 14400-288x+600x-12x²

y= -12x²+312x+14400

Using a graphing calculator, from the graph drawn for this quadratic equation, we notice that it is a parabola. Therefore to find the maximum value, we should find the maximum point which is at the vertex of the parabola, we use the formula x= -b/2a

A quadratic equation is such: ax²+bx+c

Therefore x =-312/2×-12

x= -312/-24

x= 13

So we can conclude that in order to maximise oranges from the trees, the person needs to plant an additional 13 trees. Substituting from the above:

24+x=24+13= 37 trees in total

y= -12x²+312x+14400= -12×13²+312×13+14400= -2028+4056+14400

=16428 oranges in total yield

8 0
3 years ago
List the steps used to solve the equation below.
pychu [463]

Answer:

- 1

Step-by-step explanation:

2x + 3 = x - 4

2x - x = - 4 + 3

x = - 1

The solution to the above equation is - 1.

4 0
3 years ago
2/5 of 2/3
Vilka [71]

Answer:

4/15 is your answer my friend

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
Help me!! don’t give me the sample response though!
REY [17]

Answer:

They are both correct because, they both used the properties of equality.

Step-by-step explanation:

7 0
2 years ago
Match each figure with the number of edges it has.
Rashid [163]

Answer:

Rectangular prism- 12 edges

Rectangular pyramid- 8 edges

Triangular pyramid- 6 edges

Triangular prism- 9 edges

I hope this helps!

6 0
3 years ago
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