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3 years ago

Are Proportional and non-proportional equations are all linear.

1 answer:

8 0

Proportional and linear functions are very similar. The only difference is the addition of the “b” constant to the linear function. A proportional relationship is just a linear relationship where B = 0, or where the line passes through the origin (0, 0).

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Find the measure of angle A

Gre4nikov [31]

Answer:

21 degrees

Step-by-step explanation:

Triangles have a total angle of 180 degrees.

This makes our equation:

3x+3+4x+135=180

Subtract 135 from both sides and combine like terms

7x + 3 = 45

Subtract 3 from both sides

7x = 42

Divide both sides by 7

x = 6

Plugging the number in:

3x + 3 =

3(6) + 3 =

7 0

3 years ago

The school is located where Wilson Street and Green Street intersect. Which ordered

blondinia [14]

(5,3) is the answer for the current question

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2 years ago

Estimate the quotient when 29,376 is divided by 29

Mnenie [13.5K]

The Quotient would be 1012 so I would just put 1000 if your supposed to estimate.

5 0

3 years ago

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Find the characteristic polynomial of A. Use x for the variable in your polynomial.You do not need to factor your polynomial. A

Vesna [10]

Answer: The required characteristic polynomial of the given matrix A is $x^3+6x+11x+6=0.$

Step-by-step explanation: We are given to find the characteristic polynomial of the following 3 × 3 matrix A with unknown variable x :

$A=\left[\begin{array}{ccc}0&0&1\\4&-3&4\\-2&0&-3\end{array}\right].$

We know that

for any square matrix M, the characteristic polynomial is given by

$|M-xI|=0,$ where I is an identity matrix of same order as M.

Therefore, the characteristic polynomial of matrix A is

$|A-xI|=0\\\\\\\Rightarrow \left|\left[\begin{array}{ccc}0&0&1\\4&-3&4\\-2&0&-3\end{array}\right]-x\left[\begin{array}{ccc}1&0&0\\0&1&0\\0&0&1\end{array}\right]\right|=0\\\\\\\Rightarrow \left|\left[\begin{array}{ccc}-x&0&1\\4&-3-x&4\\-2&0&-3-x\end{array}\right] \right|=0\\\\\\\Rightarrow -x(3+x)^2+1(0-6-2x)=0\\\\\Rightarrow (x+3)(-3x-x^2-2)=0\\\\\Rightarrow (x+3)(x^2+3x+2)=0\\\\\Rightarrow x^3+6x+11x+6=0.$

Thus, the required characteristic polynomial of the given matrix A is $x^3+6x+11x+6=0.$

6 0

3 years ago

Write the coordinate of G'after G(1, 2) was reflected over the line y=x.

Vikentia [17]

Answer:

(-1,2)

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers