All categories

3 years ago

Consider the sequence of steps to solve the equation:

Mathematics

1 answer:

pav-90 [236]3 years ago

4 0

Answer:

Division Property of Equality

Step-by-step explanation:

→In Step 4, it is shown that the equation is:

3x = 30

→However, to solve for x, you must get it by itself. This means you need to get rid of the 3 that's being multiplied. So since the 3 is being multiplied to x, you must do the opposite of multiplication, which is division.

→As you can see, the total of 30 is decreased in Step 5, since it has been divided by 3, giving you a total of 10.

This shows that the property of equality that yields Step 5 is the <u>Division Property of Equality.</u>

You might be interested in

Find the area of the shape shown below. NEED HELP ASAPPPPPPPPP

Fittoniya [83]

Answer: A = 7 unit^2

Explanation:

First let’s cut the shape into 1 square and 1 trapezoid.

After that we can calculate the 2 polygons individually

Find area of square:

A = 2 x 2 = 4

Find area of trapezoid:

A = (2 + 1)2/2 = 3

Find area of the whole shape

7 0

3 years ago

Match each graph with the correct equation written in<br> standard form. Explain your reasoning.

My name is Ann [436]

The graphs and their equations are:

Line 1: 6x - 2y = -10
Line 2: 9x - 9y = -45
Line 3: 3x - 12y = -60

<h3>How to determine the equations of the graphs</h3>

The three lines are linear equations, because they are all straight lines.

Also, the lines have the same y-intercept (this is so, because they cross the y-axis at the same point), but they have the same slope

Next, we rewrite the equations in slope-intercept form.

So, we have:

$3x - 12y = -60$

Divide through by -12

$-0.25x +y = 5$

Make y the subject

$y = 0.25x + 5$

$6x - 2y = -10$

Divide through by 2

$3x - y = -5$

Make y the subject

$y = 3x + 5$

$9x - 9y = -45$

Divide through by -9

$-x + y = 5$

Make y the subject

$y = x + 5$

Line 1 has the highest slope, while line 3 has the least slope.

So, we have the following equations:

Line 1: 6x - 2y = -10
Line 2: 9x - 9y = -45
Line 3: 3x - 12y = -60

Read more about linear equations at:

brainly.com/question/14323743

5 0

2 years ago

Which order pair lies on the line 2x-y= -5

Lady bird [3.3K]

Answer:

Let's solve for x.

2x−y=−5

Step 1: Add y to both sides.

2x−y+y=−5+y

2x=y−5

Step 2: Divide both sides by 2.

2x/2=y-5/2

Answer:

x=1/2y+-5/2

4 0

3 years ago

How many complex roots does the equation below have? X^6+x^3+1=0

gladu [14]

If you find the discriminant it will tell you the number and types of roots. The discriminant is the value b^2 -4ac.
a = 1
b = 1
c = 1
1^2 - 4*1*1
1-4 = -3
Since this is a negative number there will be 2 complex roots.

7 0

3 years ago

Read 2 more answers

Evaluate 82 - 2^3 x5

Anettt [7]

I think the answer is 42.

6 0

2 years ago

Read 2 more answers