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alexgriva [62]
2 years ago
15

The function y=x²-4x+8 approximates the height, y, of a bird, and its horizontal distance, x, as it flies from one

Mathematics
1 answer:
trapecia [35]2 years ago
7 0

When the bird is 2 feet away from the first fence post, it reaches its minimum height of 4 feet  , Minimum at (2,4)

Therefore Option C and D is the correct answer.

<h3>What is a Quadratic Function?</h3>

The equation for a quadratic function is given by

y = a(x-h)² +k²

where (h,k) is the extreme value(vertex).

Here the equation given is

y = x²-4x +8

y = x²-4x+4+4

y = (x-2)² +4

Here the value of a = 1 , h = 2 and k = 4

The extreme value is at (2,4)

Therefore When the bird is 2 feet away from the first fence post, it reaches its minimum height of 4 feet  , Minimum at (2,4)

Therefore Option C and D is the correct answer.

To know more about Quadratic Function

brainly.com/question/5975436

#SPJ1

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Write an equation of the line below.
statuscvo [17]

Answer:

y = -4x - 4

Step-by-step explanation:

Rise/Run

-8/2 = -4

Y-intercept:

-4

8 0
3 years ago
Rewrite 1 / 6 barrels over 2 over 5 hours as a unit rate
Akimi4 [234]

Answer:

5/12 barrel/hour

Step-by-step explanation:

 Type this as a fraction:

  (1/6) barrel

--------------------

  (2/5) hours

Division by 2/5 is equivalent to multiplication by 5/2:

1                5

--- barrel * -------------- = 5/12 barrel/hour

6                2  hours

Alternatively, this problem could be done using decimal fractions:

0.1667 barrel

-------------------- = 0.416666 barrel/hour  =  5/12 barrel/hour

0.4 hours

5 0
3 years ago
What property is (C+2+0=c+2
VashaNatasha [74]

Answer:

commutative property is C+2+0=C+2

(As a+b=b+a is the law of commutative property of addition )

7 0
3 years ago
How do i solve for x??
kirza4 [7]

Answer:

xcghjkm cfghn

Step-by-step explanation:

4 0
3 years ago
Question 20
Andrej [43]

The distance between the bottom of the lighthouse and the boat is 77.6m.

<h3>What is the distance between the bottom of the lighthouse and the boat?</h3>

The lighthouse and the boat would form a right triangle. The height would be the height of the lighthouse. The  distance between the top of the lighthouse and boat would be the hypotenuse. The  distance between the bottom of the lighthouse and the boat would be the base.

In order to determine the required distance, Pythagoras theorem would be used.

The Pythagoras theorem: a² + b² = c²

  • where:
    a = length
  • b = base
  • c = hypotenuse

125²  = 98²  + b²

b² = 125²  - 98²

b = √(25²  - 98² )

b = 77.6m

To learn more about Pythagoras theorem, please check: brainly.com/question/14580675

#SPJ1

3 0
2 years ago
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