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3 years ago

2x+3y=9

Mathematics

2 answers:

Maslowich3 years ago

4 0

This was my answer for someone else question exactly like this :)

Radda [10]3 years ago

4 0

Answer: x=3, y=1

- multiply the second equation by -2; it becomes -2x-10y= -16
- add 2x+3y=9 and -2x-10y= -16
- we get -7y=-7
- solve for y by dividing both sides by -7
- we get y=1
- now that we have found y, we pick either original equation to plug it into to get the value of x
- if we use 2x+3y=9, we plug 1 in for y to get 2x+3(1)=9
- 3x1=3, so the equation is now 2x+3=9
- to eliminate the 3, we add -3 to both sides.
- after that, we are left with 2x=6
- by dividing both sides by 2, we are left with x=3

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Based on the data, is there a clear association between having been on an airplane and having visited another country?

Roman55 [17]

Answer:

If you have exited the country, you most likely took a plane. Therefore yes there is an association between having been on a airplane and visiting another country.

(Also do u go to CCA? Bc I had the same q on my math quiz in Mrs.Pfeiffer's class)

4 0

3 years ago

What is the average rate of change for 5/6 and 15/14

andreev551 [17]

Answer:

Average rate of change is <u>0.80.</u>

Step-by-step explanation:

Given:

The two points given are (5, 6) and (15, 14).

Average rate of change is the ratio of the overall change in 'y' and overall change in 'x'. If the overall change in 'y' is positive with 'x', then average rate of change is also positive and vice-versa.

The average rate of change for two points $(x_1,y_1)\ and\ (x_2,y_2)$ is given as:

$R=\frac{y_2-y_1}{x_2-x_1}$

Plug in $x_1=5,x_2=15,y_1=6,y_2=14$ and solve for 'R'. This gives,

$R= \frac{14-6}{15-5}\\\\R=\frac{8}{10}\\\\R=0.80$

Therefore, the average rate of change for the points (5, 6) and (15, 14) is 0.80.

5 0

3 years ago

Please answer one question asap <br>A(-4,3) B(2,-1) D(-4,-1) C(2,-5)

Leni [432]

Answer:

Step-by-step explanation:

Vertices of the given quadrilateral are A(-4, 3), B(2, -1), C(2, -5) and D(-4, -1)

Since, slope of a line passing through two points $(x_1,y_1)$ and $(x_2,y_2)$ is given by,

Slope = $\frac{y_2-y_1}{x_2-x_1}$

Slope of AB = $\frac{3+1}{-4-2}$

= $-\frac{2}{3}$

Slope of AD = $\frac{3+1}{-4+4}$

= Not defined (Parallel to y-axis)

Slope of DC = $\frac{-5+1}{2+4}$

= $-\frac{2}{3}$

Slope of BC = $\frac{-1+5}{2-2}$

= Not defined (Parallel to y-axis)

Slope of AB = slope of DC = $-\frac{2}{3}$

Slope of BC = slope of AD = Not defined (parallel to y-axis)

As per property of a parallelogram,

"Opposite sides of a parallelogram are parallel and equal in measure"

Therefore, ABCD is a parallelogram.

8 0

3 years ago

The traditional way of writing a number.

Allushta [10]

Step-by-step explanation:

In legal prose it is traditional to write every number twice, first in words, followed by the same number written in digits enclosed in brackets: That sentence contained twenty-five (25) words. Easy as one (1), two (2), three (3).

3 0

3 years ago

Bruno needs to solve the equation x2 + 6x – 8 = 0 by completing the square. Which pair of steps is the most efficient way to beg

sp2606 [1]

First think of the form a^2 + 2c + c^2

c in the question is clearly 3.

So we need first to add 8 for both sides to get rid of -8 and then add 9 to complete the square.

So it will be (x^2+3)^2 = 17

So the choice number 3 is the answer.

Hope this helps!

8 0

3 years ago

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