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sergij07 [2.7K]
3 years ago
5

3x - 3y = -32x - y = -5​

Mathematics
1 answer:
Korolek [52]3 years ago
4 0

For this case we must solve the following system of equations:

3x-3y = -3\\2x-y = -5

To solve we follow the steps below:

We multiply the second equation by -3:

-6x + 3y = 15

Thus, we have the equivalent system:

3x-3y = -3\\-6x + 3y = 15

We add the equations:

3x-6x-3y + 3y = -3 + 15\\-3x = -3 + 15\\-3x = 12\\x = \frac {12} {- 3}\\x = -4

We look for the value of the variable "y":

2 (-4) -y = -5\\-8-y = -5\\-y = -5 + 8\\-y = 3\\y = -3

Thus, the solution of the system is given by:

(x, y): (- 4, -3)

Answer:

(x, y): (- 4, -3)

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We can rotate the star symbol 90 degrees to have it line up with its original image. The before and after images would be identical after doing such a rotation. So this figure has rotational symmetry.

The other figures would change if we rotated them some angle x such that 0 < x < 360, so they do not have rotational symmetry.

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(06.01)What type of association does the graph show between x and y?
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Select all that apply. What are some uses for the distance formula? Finding the perimeter of polygons. Finding the area of recta
Gnesinka [82]

Answer:

Everything except the finding the midpoint

Step-by-step explanation:

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When you are given two points on a graph (or worded problem), and it says that for every x number of km it uses y amount of gas and the question asks to find how much gas is needed in between these two points, you can do this. Find the distance between the two points and then use algebra to work out the amount of gas required

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What is the area of a square that has a side length of 1/5 of an inch?
gladu [14]
<span>0.04 inches squared - because it's 0.2 inches squared.
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This can also be written as 1/25 inches squared</span></span></span></span></span>
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Complete the table shown to the right for the population growth model for a certain country.
marta [7]

The size of the population increases when the growth rate is positive and

decreases for a negative growth rate.

The completed table is presented as follows;

\begin{array}{|c|c|c|}2003 \ Population (millions)&Projected \ 2029 \ Population \ (millions)&Growth \ rate \  K \\40.5&20.9&-2.255\%\end{array}\right]

Reasons:

The table is presented as follows;

\begin{array}{|c|c|c|}2003 \ Population (millions)&Projected \ 2029 \ Population \ (millions)&Growth \ rate \  K \\40.5&20.9&\end{array}\right]

The population in growth rate is given by the following formula;

P = a·(1 + r)ˣ

Where;

a = The initial population in 2003 = 40.5 million

P = The population in 2029 = 20.9 million

x = The number of years = 2029 - 2003 = 26

Therefore;

20.9 = 40.5 × (1 + r)²⁹

\left (1 + r\right)^{29} = \dfrac{20.9}{40.5}

r = \left(\dfrac{20.9}{40.5} \right)^{\dfrac{1}{29} } - 1 \approx  -0.02255

The population growth rate is r ≈ -0.02255 = -2.255 %

The completed table is therefore;

\begin{array}{|c|c|c|}2003 \ Population (millions)&Projected \ 2029 \ Population \ (millions)&Growth \ rate \  K \\40.5&20.9&-2.255\%\end{array}\right]

Learn more here:

brainly.com/question/25354980

6 0
3 years ago
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