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Svet_ta [14]
2 years ago
17

How many more unit tiles must be added to the function f(x)=x2−6x+1 in order to complete the square?

Mathematics
2 answers:
Valentin [98]2 years ago
10 0
<h2>8 unit tiles should be added</h2>

Step-by-step explanation:

       Function given is f(x)=x^{2}-6x+1. We wish to add more unit tiles to the function so that it becomes a complete square.

       Since the given function is of order 2, the side of the square will be order 1. Let us assume a general order 1 expression ax+b to be the side of the square.

       As the function forms the square after adding some p unit tiles, f(x)+p=(\text{Side of square})^{2}

x^{2}-6x+1+p=(ax+b)^{2}=a^{2}x^{2} +2abx+b^{2}

From comparision, a^{2}=1; 2ab=-6; b^{2}=1+p\\a=1; b=-3\\(-3)^{2}=p+1\\p=8

∴ 8 more unit tiles are required to complete the square.

Oxana [17]2 years ago
7 0

Answer:

8 just took the test on edg

Step-by-step explanation:

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3 0
3 years ago
F(x)=x^2 linear or exponential
marusya05 [52]

Answer:

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Step-by-step explanation:

3 0
3 years ago
The function y = x 2 – 4x + 8 approximates the height, y, of a bird, and its horizontal distance, x, as it flies from one fence
Alla [95]

Answer:

Exterme Value: (2,4).

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Step-by-step explanation:

The given function is y=x^2-4x+8.

We add and subtract the square of half the coefficient of x.

y=x^2-4x+(-2)^2-(-2)^2+8.

The first three terms form a perfect quadratic trinomial.

y=(x-2)^2+4.

This function is now written in the form y=a(x-h)^2+k, where (h,k) is the extreme value(vertex).

The extreme value or the vertex is (2,4).

Interpretation:

The bird reaches its minimum height which is 4ft affter covering a horizontal distance of 2 ft.

3 0
3 years ago
You need to paint a decorative garden ornament that is in the shape of pyramid with a square base
KATRIN_1 [288]

Step-by-step explanation:

Total Surface area of a pyramid is given as

= Lateral surface area + area of base.

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given the base is square with side 9 in , and slant height of 12 inches.

therefore, LSA = 1/2(9*4)×12 = 216 in^2

Now, TSA = LSA + Base area = 216+9^2 = 297 in^2

a) It is given that the pyramid is smaller therefore, it will require lesser paint than the original pyramid ( The TSA of the smaller pyramid cannot be calculated as its dimentions are not given).

b) It can not be solved as dimensions are missing in the question.

However, the logic has been explained in the soluion one easily put values to find the solution.

7 0
3 years ago
Giving brainliest !!!! For correct answer please
Anestetic [448]
I think it’s B or A But I’m not sure
4 0
3 years ago
Read 2 more answers
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