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3 years ago

Find the slope of the line that contains the points (2,2) and (-7,-4).

Mathematics

2 answers:

disa [49]3 years ago

7 0

$a = - 4 - 2 \div - 7 - 2$

$a = \frac{ - 6}{ - 9}$

Soloha48 [4]3 years ago

3 0

Answer: -6/9, or -2/3

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Find all solutions of the given system of equations (If the system is infinite many solution, express your answer in terms of x)

lisov135 [29]

Answer:

(a) The system of the equations $\left \{ {2x-3y\:=3} \atop {4x-6y\:=3}} \right.$ has no solution.

(b) The system of the equations $\left \{ {4x-6y\:=10} \atop {16x-24y\:=40}} \right.$ has many solutions $y=\frac{2x}{3}-\frac{5}{3}$

Step-by-step explanation:

(a) To find the solutions of the following system of equations $\left \{ {2x-3y\:=3} \atop {4x-6y\:=3}} \right.$ you must:

Multiply $2x-3y=3$ by 2:

$\begin{bmatrix}4x-6y=6\\ 4x-6y=3\end{bmatrix}$

Subtract the equations

$4x-6y=3\\-\\4x-6y=6\\------\\0=-3$

0 = -3 is false, therefore the system of the equations has no solution.

(b) To find the solutions of the system $\left \{ {4x-6y\:=10} \atop {16x-24y\:=40}} \right.$ you must:

Isolate x for $4x-6y=10$

$x=\frac{5+3y}{2}$

Substitute $x=\frac{5+3y}{2}$ into the second equation

$16\cdot \frac{5+3y}{2}-24y=40\\8\left(3y+5\right)-24y=40\\24y+40-24y=40\\40=40$

The system has many solutions.

Isolate y for $4x-6y=10$

$y=\frac{2x}{3}-\frac{5}{3}$

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2 years ago

A letter of application is intended to

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I found the options online. I will state them and provide the answer.

OPTIONS
<span>A. find out what the prospective employer has to offer.
B. outline your value to a prospective employer.
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D. remind the prospective employer of your recent interview.
</span>
ANSWER.
A letter of application is intended to outline your value to a prospective employer (option B) It is also known as a cover letter. It might be considered a job application which you send together with your CV to provide additional info about you.

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