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3 years ago

Explaining your answer can either include a counterexample, a diagram or a written explanation to support your answer.

Mathematics

1 answer:

anzhelika [568]3 years ago

6 0

Answer:

sorry I didn't understanding this

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Find the slope-intercept form of the equation of the line with the given characteristics.

jenyasd209 [6]

Y=7x-5 thats the answer

5 0

3 years ago

Read 2 more answers

Can someone explain this?

natulia [17]

Answer:

58 degrees

Step-by-step explanation:

(x+45)+(x+66)=95

2x+45+66=95

2x+111=95

2x=95-111

2x=-16

x=-16/2

x=-8

x+66=-8+66=58

8 0

3 years ago

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Let A be a 3×3 matrix and suppose we know that −2a1+3a2−5a3=0 where a1,a2 and a3 are the columns of A. Write a non-trivial solut

belka [17]

Answer:

One of the obvious non-trivial solutions is $(x_1, x_2, x_3)=(-2, 3, -5)$ .

Step-by-step explanation:

Suppose the matrix A is as follows:

$A=\left[\begin{array}{ccc}a_{11}&a_{12}&a_{13}\\a_{21}&a_{22}&3_{23}\\a_{31}&a_{32}&a_{33}\end{array}\right]$

The observed system $Ax=0$ after multiplying looks like this

$Ax=0 \iff \left[\begin{array}{ccc}a_{11}&a_{12}&a_{13}\\a_{21}&a_{22}&a_{23}\\a_{31}&a_{32}&a_{33}\end{array}\right] \cdot \left[\begin{array}{ccc}x_1\\x_2\\x_3\end{array}\right] =0 \iff \\ \\a_{11}x_1+a_{12}x_2+a_{13}x_3=0\\a_{21}x_1+a_{22}x_2+a_{23}x_3=0\\a_{31}x_1+a_{32}x_2+a_{33}x_3=0\\\\$

Since we now that $-2A_1+3A_2-5A_3=0$ , where $A_i\ ,\ i=1, 2, 3$ are the columns of the matrix A, we actually know this:

$-2\cdot \left[\begin{array}{ccc}a_{11}\\a_{21}\\a_{31}\end{array}\right] +3\cdot \left[\begin{array}{ccc}a_{12}\\a_{22}\\a_{32}\end{array}\right] -5\cdot \left[\begin{array}{ccc}a_{13}\\a_{23}\\a_{33}\end{array}\right] =\left[\begin{array}{ccc}0\\0\\0\end{array}\right]$

Once we multiply and sum up these 3 by 1 matrices, we get that these equations hold:

$-2a_{11}+3a_{12}-5a_{13}=0\\-2a_{21}+3a_{22}-5a_{23}=0\\-2a_{31}+3a_{32}-5a_{33}=0$

This actually means that the solution to the previously observed system of equations (or equivalently, our system $Ax=0$ ) has a non-trivial solution $(x_1, x_2, x_3)=(-2, 3, -5)$ .

8 0

3 years ago

I have a bad memory,i learned this but I forgot it (I swear I'm not lying)

mihalych1998 [28]

Answer:

Step-by-step explanation:

3 0

3 years ago

A unit of measure used in surveying is the link; 1 link is about 8 inches. about how many links are there in 9 feet.

lord [1]

Known:

1 link = 8 inches
1 inch = 0.083 feet
108 inches = 9 feet

To find how many links:

108/8= 13.5 links

3 0

3 years ago