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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

2 years ago

-3√45+3√20<br>SHOW HOW YOU GOT YOUR ANSWER

Juli2301 [7.4K]

-3√45 + 3√20 = -3√(9 · 5) + 3√(4 · 5) =

= -3√(3² · 5) + 3√(2² · 5) =

= -3 · 3√5 + 3 · 2√5 =

= -9√5 + 6√5 = -3√5 ← the end

4 0

3 years ago

If 'a' is a number lying between 0 and 1. then which of the following is in increasing order? a) a², a, √a b) a √a ,a² c) a²,√a,

viktelen [127]

Step-by-step explanation:

None of these,

a(under root),a, a(square)

this is the correct answer

5 0

3 years ago

Read 2 more answers

What is equivalent to 5(x + 12)<br><br> A x +12<br> B 2x - 60<br> C 5x + 60<br> D 2x - 60

Alex73 [517]

<u>Answer:</u>

$\boxed{\boxed{\pink{\sf Option \ C \ is \ correct .}}}$

<u>Step-by-step explanation:</u>

Given to us is , 5 ( x + 12 ) and we need to find which is its equivalent in the given options .

So,

$\bf = 5 ( x + 12 ) \\\\=\bf 5x + 5\times 12 \\\\=\boxed{\red{\bf 5x + 60 }}$

<h3><u>Hence</u><u> </u><u>opt</u><u>ion</u><u> </u><u>C </u><u>is</u><u> correct</u><u>.</u></h3>

4 0

2 years ago

Select the correct answer from each drop-down menu. the four vertices of an inscribed quadrilateral divide a circle in the ratio

AleksandrR [38]

The four angles of a quadrilateral are 30°, 60°, 150°, and 120° if the four vertices of an inscribed quadrilateral divide a circle in the ratio 1:2:5:4.

<h3>What is quadrilateral?</h3>

It is defined as the four-sided polygon in geometry having four edges and four corners.

We have the four vertices of an inscribed quadrilateral divide a circle in the ratio:

1:2:5:4

Let the sides of the quadrilateral be x, 2x, 5x, 4x.

We know the sum of all angles of quadrilateral = 360°

x+2x+5x+4x=360

12x = 360

First angle, x = 30°

Seconds angle, 2x = 2×30 ⇒ 60°

Third angle, 5x = 5×30 ⇒ 150°

Fourth angle, 4x = 4×30 ⇒ 120°

Thus, the four angles of a quadrilateral are 30°, 60°, 150°, and 120°

Learn more about the quadrilateral here:

brainly.com/question/6321910

3 0

2 years ago