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kogti [31]
2 years ago
14

The function y = x^2 - 4x + 5 approximates the height, y, of a bird, and its

Mathematics
1 answer:
Soloha48 [4]2 years ago
5 0

Answer:

Option C and option D

Step-by-step explanation:

we have that

y=x^{2}-4x+5

This is the equation of a vertical parabola open upward

The vertex is a minimum

Convert the equation into vertex form

Complete the square

y-5=x^{2}-4x

y-5+4=x^{2}-4x+4

y-1=x^{2}-4x+4

y-1=(x-2)^{2}

y=(x-2)^{2}+1 ----> equation of the parabola in vertex form

The vertex is the point (2,1)

therefore

when the bird is 2 feet away from the first fence post, it reaches its minimum height of 1 foot

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In ΔMNO, the measure of ∠O=90°, the measure of ∠M=46°, and NO = 96 feet. Find the length of OM to the nearest tenth of a foot.
GalinKa [24]

Answer:

92.7 ft

Step-by-step explanation:

6 0
3 years ago
A 6m ladder leans against a wall. The bottom of the ladder is 1.3m from the wall at time =0sec and slides away from the wall at
icang [17]

Answer:

- 0.100

Step-by-step explanation:

Length of the ladder,  H = 6 m

Distance at the bottom from the wall, B = 1.3 m

Let the distance of top of the ladder from the bottom at the wall is P

Thus,

from  Pythagoras theorem,

B² + P² = H²    .

or

B² + P² = 6²          ..............(1)      [Since length of the ladder remains constant]

at B = 1.3 m

1.3² + P² = 6²

or

P² = 36 - 1.69

or

P² = 34.31

or

P = 5.857

Now,

differentiating (1)

2B(\frac{dB}{dt})+2P(\frac{dP}{dt})=0

at t = 2 seconds

change in B = 0.3 × 2= 0.6 ft

Thus,

at 2 seconds

B = 1.3 + 0.6 = 1.9 m

therefore,

1.9² + P² = 6²

or

P = 5.69 m

on substituting the given values,

2(1.9)(0.3) + 2(5.69) × (\frac{dP}{dt}) = 0

or

1.14 + 11.38 × (\frac{dP}{dt}) = 0

or

11.38 × (\frac{dP}{dt}) = - 1.14

or

(\frac{dP}{dt}) = - 0.100

here, negative sign means that the velocity is in downward direction as upward is positive

5 0
3 years ago
Factor 48m - 80n.<br> 16mn(3m - 5n)<br> 16(5n - 3m)<br> 16(3m - 5n)
aliya0001 [1]
The correct answer for this would be the last option. The factors of 48m - 80n are 16(3m - 5n). If you try to solve this, the result would be 48m - 80n. 16 x 3m would be 48m and 16 times 5n would be 80n. Hope this is the answer that you are looking for. 
4 0
3 years ago
Solve the addition equation by finding a common multiple. One third plus four sixths plus six eighteenths equals blank
kirza4 [7]
Answer: c


Explanation: it’s c I’m pretty sure
6 0
2 years ago
Read 2 more answers
Use the graph to estimate the value of y when x = 2.5
Vera_Pavlovna [14]

Answer:

f

Step-by-step explanation:

3 0
3 years ago
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