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Taya2010 [7]
3 years ago
6

Ming drew a triangle. The sum of the angles of the triangle is 180º.

Mathematics
1 answer:
Veronika [31]3 years ago
6 0

Answer: The second matrix

If we want to write a proper matrix to represent the given system of equations, we have to arrange it in order:

a+b+c=180

2a-b+0c=0

4a+0b-c=-5

After this, we can write the matrix with the coefficients of each equation:

\left[\begin{array}{ccc|c}1&1&1&180\\2&-1&0&0\\4&0&-1&-5\end{array}\right]

Being this, the matrix that represents the measure of each angle in Ming's triangle

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George is twice as old as Edward, and Edward's age exceeds Robert's age by 4 years. If the sum of the three ages is at least 56
marshall27 [118]

Answer:Robert's minimum age is 11 years.

Step-by-step explanation:

Let x represent George's age.

Let y represent Edward's age.

Let z represent Robert's age.

George is twice as old as Edward. It means that

x = 2y

Edward's age exceeds Robert's age by 4 years. It means that

z = y - 4

If the sum of the three ages is at least 56 years, it means that

x + y + z ≥ 56 - - - - - - - - - - 1

Substituting x = 2y and z = y - 4 into equation 1, it becomes

2y + y + y - 4 ≥ 56

4y - 4 ≥ 56

4y ≥ 56 + 4

y ≥ 60/4

y ≥ 15

z = y - 4 = 15 - 4

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8 0
3 years ago
How do you find the arctan 4/3 ? (Without a calculator)
Soloha48 [4]
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You will get that the answer is 4/5

hope this helps



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3 years ago
Using the 3 functions below, make the desired transformation(s) to the correct function and describe the transformation(s). Writ
Eduardwww [97]

Answer:

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Step-by-step explanation:

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Then, the transformation of g(x) to k(x) consists in a vertical translation. The new equation is k(x) = -12\cdot x-6.

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Answer:

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Step-by-step explanation:

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