ADSdancer
Answered

Westonci.ca is the best place to get answers to your questions, provided by a community of experienced and knowledgeable experts. Explore a wealth of knowledge from professionals across various disciplines on our comprehensive Q&A platform. Get quick and reliable solutions to your questions from a community of experienced experts on our platform.

PLEASE HELP FAST! 35 PTS!!

Justify each step by identifying the property used.

[tex]t+5(t+1)=t+(5t+5)[/tex]
[tex]=(t+5t)+5[/tex]
[tex]=(1t+5t)+5[/tex]
[tex]=(1+5)t+5[/tex]
[tex]=(6t+5)[/tex]

Sagot :

MrRoyal

The algebraic properties used in the steps are the distribution property, the associative property, the identity property, and the distribution property

How to justify each step by identifying the property used?

The first step in the equation is given as:

t + 5(t + 1) = t + (5t + 5)

The distribution property states that

a(b + c) = ab + ac

So, the property used in t + 5(t + 1) = t + (5t + 5) is the distribution property

Next, we have:

t + 5(t + 1) = (t + 5t) + 5

The associative property states that

a + (b + c) = (a + b) + c

So, the property used in t + 5(t + 1) = (t + 5t) + 5 is the associative property

Next, we have:

t + 5(t + 1) = (1t + 5t) + 5

The identity property states that

a * 1  = a

So, the property used in t + 5(t + 1) = (1t + 5t) + 5 is the identity property

Next, we have:

t + 5(t + 1) = (1 + 5)t + 5

The distribution property states that

a(b + c) = ab + ac

So, the property used in t + 5(t + 1) = (1 + 5)t + 5 is the distribution property

Lastly, we have the solution

(6t + 5)

Read more about algebraic properties at:

https://brainly.com/question/855307

#SPJ1

Thanks for stopping by. We are committed to providing the best answers for all your questions. See you again soon. Your visit means a lot to us. Don't hesitate to return for more reliable answers to any questions you may have. We're glad you chose Westonci.ca. Revisit us for updated answers from our knowledgeable team.