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1) write a system on equations with the solution (2, -3). Work the problem out using the substitution method

solmaris [256]

The system of the equations that have the solution of (2, -3) are given below.

3x + 2y = 0 and 3y = 2x - 13

<h3>What is the linear system?</h3>

A Linear system is a system in which the degree of the variable in the equation is one. It may contain one, two, or more than two variables.

Write a system of equations with the solution (2, -3).

From a single point, an infinite number of lines pass through this point.

Let one line is passing through the origin. Then the equation of the line will be

$\rm y = \dfrac{-3}{2} (x)\\\\y = -1.5x$

And the other line is perpendicular to the line which is passing through the origin and a point (2, -3).

$\rm y = \dfrac{2}{3} x + c$

Then this line also passes through a point (2, -3). Then the value of c will be

$\rm -3 = \dfrac{2}{3} \times 2 + c\\\\c \ \ = -13$

Then the equation of the line will be

3y = 2x -13

More about the linear system link is given below.

brainly.com/question/20379472

#SPJ4

8 0

1 year ago

Which algebraic equation models the English sentence, a number subtracted from 8 is equal to 4?

kykrilka [37]

let's x represent a number

8-x = 4

3 0

2 years ago

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4d. Health Survey. In a survey of 1020 adults in the United States, 44% said that they wash their hands after riding public tran

AleksandrR [38]

Answer:

Discrete. See explanation below

Step-by-step explanation:

We need to remember some previous concepts:

We have two types of numerical data: Discrete and Continuous

When we say Discrete data we are refering to data that is countable or can be expressed with integers in a domain.

In the other case when we talk about continuous data we are refering to data that is continuous in a specified domain, it can contain decimals or rational numbers in the Real numbers for example.

For this special case we know that they select a sample size of n=1020 and the sample proportion of people in the United States who wash their hands after riding public transportation was 0.44 or 44% in percentage.

$\hat p = \frac{X}{1020}=0.44$

$X=0.44*1020=448.8 \approx 449$

But the number of subjects on this survey needs to be Discrete, since the possible values are 0,1,2,3,4,.....,n and never we have decimals or continuous data in order to express this.

3 0

2 years ago

Select the correct answer.

FromTheMoon [43]

The approximate area in square feet of the sides panel is 146.4 feet.

where

b = base

h = height

Therefore, let's find the height and the base using trigonometric ratios.

sin 30 = opposite / hypotenuse

sin 30° = h / 26

cross multiply

h = 26 × 1 / 2

h = 13 ft.

Let's find the base using Pythagoras theorem.

b² = 26² - 13²

b² = 676 - 169

b = √507

b = 22.5166604984

b = 22.52 ft

Area = 1 / 2 × 22.52 × 13

Area = 292.76 / 2

Area = 146.38 ≈ 146.4 ft

learn more on right angle triangle here: brainly.com/question/20999524?referrer=searchResults

8 0

2 years ago

A submarine is650 feet below sea level. If it defends 400 feet, which integer represents its new position

Musya8 [376]

Answer:

-1050

Step-by-step explanation:

-650+(-400)=-1050

We use negatives to show it is below sea level

7 0

2 years ago

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