All categories

3 years ago

The solution to the following system of linear equations lies in which quadrant? −2x + 3y = 8 4x + y = −2

1 answer:

4 0

First, let's find the solution.

-2x + 3y = 8
Add 2x to both sides.
3y = 2x + 8
Divide both sides by 3.
y = 2/3x + 8/3

4x + 2/3x + 8/3 = -2
14/3x + 8/3 = -2
Subtract 8/3 from both sides.
14/3x = -14/3
Multiply both sides by 3/14.
x = -1

y = 2/3(-1) + 8/3
y = -2/3 + 8/3
y = 6/3, or 2.

The solution is (-1, 2) which lies in Quadrant II, because its outline is (-, +).

You might be interested in

Determine the volume of the picture below. Please help

Vlada [557]

The answer to this question is D

4 0

2 years ago

Read 2 more answers

Which statements about the relationship between the two angles below are true? Check all that apply ZC=LT

Ne4ueva [31]

Answer:

The last one, angle D equals to angle T

Step-by-step explanation:

Using the theorem of the triangle we know that the total number measure of the angles is 180 degrees. Therefore, solving the second triangle will give us that the angle T is equal to 60.

This is equal to angle D.

Hope this helps.

6 0

3 years ago

Translate and solve: The difference of n and 1/6 is 1/2.

enyata [817]

<h2>Translating Words into Problems</h2>

We can translate a word equation into a mathematical equation by translating key words into operations.

<em>difference</em> = subtract
<em>is</em> = equals

<h2>Addinng Fractions</h2>

Whenever we need to add one fraction to another, we must find a common denominator, change both the fractions for their denominators to be the same, and then add the numerators. Finally, we reduce the fraction.

<h2>Solving the Question</h2>

We're given:

The difference of n and $\dfrac{1}{6}$ is $\dfrac{1}{2}$ .

Translate the given information into an equation:

⇒ $n-\dfrac{1}{6}=\dfrac{1}{2}$

Solve for <em>n</em>:

⇒ $n-\dfrac{1}{6}=\dfrac{1}{2}\\\\n=\dfrac{1}{2}+\dfrac{1}{6}\\\\n=\dfrac{3}{6}+\dfrac{1}{6}\\\\n=\dfrac{4}{6}\\\\n=\dfrac{2}{3}$

<h2>Answer</h2>

$n=\dfrac{2}{3}$

4 0

2 years ago

If a-1/a = 8 find the value of (a+1/a) square

Strike441 [17]

Answer:

(1) a+1/a=8a+2/8a+1

(2) a²-1/a²=(a+1)(a-1))a²

(8a+2)(8a)/(8a+1)²

8 0

2 years ago

Is the following an example of simple random, cluster, systematic or convenience sampling?

yanalaym [24]

The following is an example of a cluster sampling.

Cluster sampling<span> is a </span>sampling<span> technique used when "natural" but relatively heterogeneous groupings are evident in a statistical population. It is often used in marketing research. In this technique, the total population is divided into these groups (or </span>clusters) and a simple randomsample<span> of the groups is selected.</span>

7 0

3 years ago