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Marrrta [24]
3 years ago
6

Drina wrote the system of linear equations below.

Mathematics
2 answers:
goblinko [34]3 years ago
8 0

Answer:

B Square Matrix

Step-by-step explanation:

E2020

zalisa [80]3 years ago
7 0

Answer:

Option c, A square matrix

Step-by-step explanation:

Given system of linear equations are

3x-2y=-2\hfill(1)

7x+3y=26\hfill(2)

-x-11y=46\hfill(3)

Now to find the type of matrix can be formed by using this system

of equations

From the given system of linear equations we can form a matrix

Let A be a matrix

A matrix can be written by

A=co-efficient of x of 1st linear equation    co-efficient of y of 1st linear equation   constant of 1st terms linear equation

co-efficient of x of 2st linear equation   co-efficient of y of 2st linear equation  constant of 2st terms linear equation

co-efficient of x of 3st linear equation   co-efficient of y of 3st linear equation    constant of 3st terms linear equation           3\times 3

which is a 3\times 3 matrix.

Therefore A can be written as

A= \left[\begin{array}{lll}3&-2&-2\\7&3&26\\-1&-11&46\end{array}\right] 3\times 3

Matrix "A" is a 3\times3 matrix so that it has 3 rows and 3 columns

A square matrix has equal rows and equal columns

Since matrix "A" has equal rows and columns Therefore it must be a square matrix

Therefore the given system of linear equation forms a square matrix

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John who is 5 ft tall is standing 20 feet away from a tree, and you measure the angle of elevation to be 38∘. How tall is the tr
fenix001 [56]

Answer:

The tree is 20.6 ft tall.

Step-by-step explanation:

Please check the attached graph.

From the diagram, it is clear that John is 5 ft tall is standing 20 feet away from a tree, making an angle of elevation to be 38⁰.

The diagram makes a right-angled triangle.

  • Given the angle = Ф = 38⁰
  • Adjacent = a = 5 ft
  • Opposite = b = 20 ft
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Pythagorean Theorem:

For a right-angled triangle, with sides 'a' and 'b', the hypotenuse 'c' is defined as:

\:c=\sqrt{a^2+b^2}

substituting a=5, b=20

c=\sqrt{5^2+20^2}

c=5\sqrt{17}

c=20.6 ft

Thus, the tree is 20.6 ft tall.

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3 years ago
Find the solution to the system of equations below
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Answer:

(4,7)

Step-by-step explanation:

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3 years ago
HELP 100 POINTS The population of a city is modeled with the function P=250,000e^0.013t​, where t is the number of years since 2
erma4kov [3.2K]
Pretty difficult problem, but that’s why I’m here.
First we need to identify what we’re looking for, which is t. So now plug 450k into equation and solve for t.
450000 = 250000e^0.013t
Now to solve this, we need to remember this rule: if you take natural log of e you can remove x from exponent. And natural log of e is 1.
Basically ln(e^x) = xln(e) = 1*x
So knowing this first we need to isolate e
450000/250000 = e^0.013t
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Now take natural log of both
Ln(1.8) = ln(e^0.013t)
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Answer:

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Step-by-step explanation:

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