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KiRa [710]
3 years ago
12

Find the are of a triangle ABC.

Mathematics
1 answer:
Firdavs [7]3 years ago
3 0

Answer: 144

Step-by-step explanation:

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Test the set of polynomials for linear independence. If it is linearly dependent, express one of the polynomials as a linear com
aliina [53]

Answer:

The set of polynomial  is Linearly Independent.

Step-by-step explanation:

Given - {f(x) =7 + x, g(x) = 7 +x^2, h(x)=7 - x + x^2} in P^2

To find - Test the set of polynomials for linear independence.

Definition used -

A set of n vectors of length n is linearly independent if the matrix with these vectors as columns has a non-zero determinant.

The set is dependent if the determinant is zero.

Solution -

Given that,

f(x) =7 + x,

g(x) = 7 +x^2,

h(x)=7 - x + x^2

Now,

We can also write them as

f(x) = 7 + 1.x + 0.x²

g(x) = 7 + 0.x + 1.x²

h(x) = 7 - 1.x + 1.x²

Now,

The coefficient matrix becomes

A = \left[\begin{array}{ccc}7&1&0\\7&0&1\\7&-1&1\end{array}\right]

Now,

Det(A) = 7(0 + 1) - 1(7 - 7) + 0

           = 7(1) - 1(0)

           = 7 - 0 = 7

⇒Det(A) = 7 ≠ 0

As the determinant is non- zero ,

So, The set of polynomial  is Linearly Independent.

5 0
2 years ago
On a given day 32 out of 220 people were selected for
Lena [83]

Answer:74

Step-by-step explanation: first you need to find the ratio so divide 220 by 32 to get 6.875 then didvide 510 by that same number and you will get 74. 18181818 but 74 because you can’t have a fraction of a person

7 0
3 years ago
......................​
ExtremeBDS [4]

Answer:

the question is about the table you have to make a table it is very easy

6 0
2 years ago
If it takes a hoses to fill a tank in b minutes, how many hoses will it take to fill it in c
forsale [732]
In the terms it’s none of them because this is way to confusing
8 0
2 years ago
Tony needs to create a platform shaped like the diagram with the labeled dimensions.
konstantin123 [22]
<h2>135 cubic feet of concrete are required to create the platform.</h2>

Step-by-step explanation:

The dimension of lower step is 6 ft× 3 ft× 1.5 ft

and the dimension of upper step is 6 ft ×(9-3)ft × (1.5+1.5)ft = 6 ft × 6 ft ×3 ft

Therefore concrete are required to make lower step = (6×3×1.5) cubic feet

                                                                                       = 27 cubic feet

and concrete are required to make upper step = (6×6×3) cubic feet

                                                                               =108 cubic feet

<h3>∴(108+27) cubic feet = 135 cubic feet of concrete are required.</h3>

8 0
3 years ago
Read 2 more answers
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