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3 years ago

Find an equation of the line passing through the pair of points. Write the equation in the form Ax+By=C

Mathematics

1 answer:

dexar [7]3 years ago

8 0

-5x+y=-7 is the answer for this problem

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student tickets for a football game cost $2 each. adult tickets cost $4 each. ticket sales at last week's game totaled $2800. wr

ELEN [110]

Answer:

Let s = students

Let a = adults

2s + 4a = 2800

Step-by-step explanation:

6 0

2 years ago

Use the augmented matrix method to solve the following system of equations. Your answers may be given as decimals or fractions.

Alexandra [31]

Answer:

$x\ =\ \dfrac{21}{5}$

$y\ =\ \dfrac{3}{5}$

z = 2

Step-by-step explanation:

Given equations are

x - 2y - z = 2

x + 3y - 2z = 4

-x + 2y + 3z = 2

from the given equations the augmented matrix can be written as

$\left[\begin{array}{ccc}1&-2&-1:2\\1&3&-2:4\\-1&2&3:2\end{array}\right]$

$R_2=>R_2-R_1\ and\ R_3=>R_3+R_1$

$=\ \left[\begin{array}{ccc}1&-2&-1:2\\0&5&-1:2\\0&0&2:4\end{array}\right]$

$R_2=>\dfrac{R_2}{5}$

$=\ \left[\begin{array}{ccc}1&-2&-1:2\\0&1&\dfrac{-1}{5}:\dfrac{2}{5}\\0&0&2:4\end{array}\right]$

$R_1=>R_1+2.R_2$

$=\ \left[\begin{array}{ccc}1&0&-1-\dfrac{2}{5}:2+\dfrac{4}{5}\\\\0&1&\dfrac{-1}{5}:\dfrac{2}{5}\\\\0&0&2:4\end{array}\right]$

$=\ \left[\begin{array}{ccc}1&0&\dfrac{-7}{5}:\dfrac{14}{5}\\\\0&1&\dfrac{-1}{5}:\dfrac{2}{5}\\\\0&0&2:4\end{array}\right]$

$R_3=>\dfrac{R_3}{2}$

$=\ \left[\begin{array}{ccc}1&0&\dfrac{-7}{5}:\dfrac{14}{5}\\\\0&1&\dfrac{-1}{5}:\dfrac{2}{5}\\\\0&0&1:2\end{array}\right]$

$R_1=>R_1+\dfrac{7}{5}R_3\ and\ R_2+\dfrac{1}{5}R_3$

$=\ \left[\begin{array}{ccc}1&0&0:\dfrac{14}{5}+\dfrac{7}{5}\\\\0&1&0:\dfrac{2}{5}+\dfrac{1}{5}\\\\0&0&1:2\end{array}\right]$

So, from the above augmented matrix, we can write

$x\ =\ \dfrac{21}{5}$

$y\ =\ \dfrac{3}{5}$

z = 2

7 0

3 years ago

What is 216 in exponential form? A) 26 B) 35 C) 44 D) 63

marta [7]

216 = 6 x 6 x 6 = 6^3

Answer

D) 6^3

5 0

2 years ago

A square has a side lenght of 6.2 centimeters. what is the perimiter of the square

garri49 [273]

24.8 square centimeters

6 0

2 years ago

Read 2 more answers

kirill115 [55]

B. (1, –3)

x – y = 4
8x + 2y = 2

1 - (-3) = 4
8(1) + 2(-3) =
8 - 6 = 2
True

hope this helps

7 0

2 years ago

Read 2 more answers