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cestrela7 [59]
3 years ago
6

Select all expressions that are equivalent to 6x + 1 - (3x - 1)

Mathematics
1 answer:
REY [17]3 years ago
8 0

Answer:

=3x+2

Step-by-step explanation:

Let's simplify step-by-step.

6x+1−(3x−1)

Distribute the Negative Sign:

=6x+1+−1(3x−1)

=6x+1+−1(3x)+(−1)(−1)

=6x+1+−3x+1

Combine Like Terms:

=6x+1+−3x+1

=(6x+−3x)+(1+1)

=3x+2

Let's simplify step-by-step.

6x+1−(3x−1)

Distribute the Negative Sign:

=6x+1+−1(3x−1)

=6x+1+−1(3x)+(−1)(−1)

=6x+1+−3x+1

Combine Like Terms:

=6x+1+−3x+1

=(6x+−3x)+(1+1)

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4 Consider the triangle below.
Maurinko [17]
<h2>=>> <u>Solution (part A</u>) :</h2>

Given :

▪︎Triangle AMG is an isosceles triangle.

▪︎Measure of segment AM = (x+1.4) inches

▪︎Measure of segment MG = (2x+0.1) inches

▪︎Measure of segment AG = (3x-0.4) inches

▪︎segment AG is the base of triangle AMG.

Since AG is the base of the isosceles triangle AMG, segment AM and segment MG will be equal.

Which means :

= \tt x + 1.4 = 2x + 0.1

= \tt x + 1.4 - 0.1 = 2x

=  \tt \: x + 1.3 = 2x

= \tt 1.3 = 2x - x

\color{plum} \hookrightarrow  \tt x = 1.3

Thus, the value of x = 1.3

Therefore :

▪︎The value of x = 1.3

<h2>=>> <u>Solution (Part B)</u> :</h2>

We know that :

▪︎The value of x = 1.3

Which means :

The length of the leg AM :

= \tt x + 1.4

= \tt 1.3 + 1.4

\color{plum} \tt leg \: AM= 2.7 \: inches

Thus, the length of the leg AM = 2.7 inches

The length of leg MG :

= \tt 2x + 0.1

=  \tt2 \times 1.3 + 0.1

= \tt 2.6 + 0.1

\color{plum} \tt\: leg \:MG = 2.7 \: inches

Thus, the length of the leg MG = 2.7 inches

Since the measure of the two legs are equal (2.7=2.7), we can conclude that we have found out the correct length of each leg.

Therefore :

▪︎Measure of leg AM = 2.7 inches

▪︎Measure of leg MG = 2.7 inches

<h2>=>> <u>Solution </u><u>(</u><u>part C</u><u>)</u> :</h2>

We know that :

Value of x = 1.3

Then, measure of the base AG :

=  \tt 3x - 0.4

= \tt 3 \times 1.3 - 0.4

= \tt 3.9 - 0.4

\color{plum}\tt \: Base  \: AG = 3.5 \:  inches

Thus, the measure of the base = 3.5 inches

Therefore :

▪︎ the length of base AG = 3.5 inches.

6 0
3 years ago
The expression 21 - (2x + 3)2 + 4 (1 - 1) + z3 can be simplified into the form
mr Goodwill [35]

Answer:

A=z

B=-2

C=0

D=30

Step-by-step explanation:

First lets simply the equation

21 - (2x +3)2 + 4(1-1) + z^3

21 - (2x^2 + 9) + 4(0) + z ^3

21 - 2x^2 + 9 + z^3

- 2x^2 + z ^3 + 30

This means that:

A=z

B=-2

C=0

D=30

5 0
3 years ago
Tony's taking cookies to a bake sale. He already made 70 cookies on Monday, and wants to make more on Tuesday. His plan allows h
kotegsom [21]
70+14 x 7 =168 :-]  :-]  :-]

6 0
3 years ago
What’s the correct answer
laila [671]
C. 502

All you need to do is multiply the number if sales by the percentage in decimal form. Using DPR I know that 11% is equal to 0.11, so 4,560(0.11) is 501.60. That can be rounded to 502 sales that were shirts.

4 0
3 years ago
25 POINTS!!!!! add. express your answer as a fraction. Do not include spaces in your answer 5 1/4+ 15.5
ss7ja [257]

Answer:

The answer is 83/4

Step-by-step explanation:

5 1/4+15.5

21/4+15.5

Taking LCM

21/4+15.5*4/1*4

21/4+62/4

83/4

5 0
3 years ago
Read 2 more answers
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