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mash [69]
3 years ago
9

What are m and b in the linear equation 12 + 6x + 15 + 10x = y?

Mathematics
1 answer:
Flura [38]3 years ago
8 0

Answer:

<em>m</em> = 16

<em>b </em>= 27

General Formulas and Concepts:

<u>Algebra I</u>

Combining Like Terms

Slope-Intercept Form: y = mx + b

  • m - slope
  • b - y-intercept

Step-by-step explanation:

<u>Step 1: Define</u>

12 + 6x + 15 + 10x = y

<u>Step 2: Simplify</u>

  1. Combine like terms (Z):                    27 + 6x + 10x = y
  2. Combine like terms (x):                     27 + 16x = y
  3. Rewrite:                                             y = 16x + 27

<u>Step 3: Identify</u>

<em>Break apart functions.</em>

Slope <em>m</em> = 16

y-intercept <em>b</em> = 27

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AB = 3 + x
ICE Princess25 [194]

The given quadrilateral ABCD is a parallelogram since the opposite sides are of same length AB and DC is 4 and AD and BC is 2.

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

ABCD is a quadrilateral with their opposite sides are congruent (equal).

The both pairs of opposite sides are given as AB = 3 + x , DC = 4x , AD = y + 1 , BC = 2y.

  • AB and DC are opposite sides and have same measure of length.
  • AD and BC are opposite sides and have same measure of length.

<u>To find the length of AB and DC :</u>

AB = DC

3 + x = 4x

Keep x terms on one side and constant on other side.

3 = 4x - x

3 = 3x

x = 1

Substiute x=1 in AB and DC,

AB = 3+1 = 4

DC = 4(1) = 4

<u>To find the length of AD and BC :</u>

AD = BC

y + 1 = 2y

Keep y terms on one side and constant on other side.

2y-y = 1

y = 1

Substiute y=1 in AD and BC,

AD = 1+1 = 2

BC = 2(1) = 2

Therefore, the opposite sides are of same length AB and DC is 4 and AD and BC is 2. The given quadrilateral ABCD is a parallelogram.

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Answer:

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