1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
gizmo_the_mogwai [7]
3 years ago
10

A triangle has side lengths of (6a-3b)(6a−3b) centimeters, (5a+5c)(5a+5c) centimeters, and (8c-b)(8c−b) centimeters. Which expre

ssion represents the perimeter, in centimeters, of the triangle?
Mathematics
1 answer:
lilavasa [31]3 years ago
7 0

Answer:

P = a(61a - 36b + 50c) + 10b² + 89c² - 16bc

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right<u> </u>

<u>Algebra I</u>

  • Terms/Coefficients
  • Expand by FOIL (First Outside Inside Last)
  • Factoring

<u>Geometry</u>

Perimeter Formula [Triangle]: P = L₁ + L₂ + L₃

  • L₁ is one side
  • L₂ is another side
  • L₃ is the 3rd side

Step-by-step explanation:

<u>Step 1: Define</u>

L₁ = (6a - 3b)(6a - 3b)

L₂ = (5a + 5c)(5a + 5c)

L₃ = (8c - b)(8c - b)

<u>Step 2: Find Perimeter</u>

  1. Substitute in variables [Perimeter - Triangle]:                                              P = (6a - 3b)² + (5a + 5c)² + (8c - b)²
  2. Expand [FOIL]:                                                                                                P = (36a² - 36ab + 9b²) + (25a² + 50ac + 25c²) + (b² - 16bc + 64c²)
  3. Combine like terms (a²):                                                                                 P = 61a² - 36ab + 9b² + 50ac + 25c² + b² - 16bc + 64c²
  4. Combine like terms (b²):                                                                                P = 61a² + 10b² - 36ab + 50ac + 25c² - 16bc + 64c²
  5. Combine like terms (c²):                                                                                P = 61a² + 10b² + 89c² - 36ab + 50ac - 16bc
  6. Rearrange variables:                                                                                      P = 61a² - 36ab + 50ac + 10b² + 89c² - 16bc
  7. Factor:                                                                                                             P = a(61a - 36b + 50c) + 10b² + 89c² - 16bc
You might be interested in
Find the correct sum of the polynomials (6x3 − 8x − 5) + (3x3 + 6x + 2).
Advocard [28]

Answer:

9x^3-2x-3

Step-by-step explanation:

The question is

(6x^3-8x-5)+(3x^3+6x+2)\\

collect like terms

(6x^3-8x-5)+(3x^3+6x+2)\\\\\\6x^3+3x^3-8x+6x-5+2\\\\\\9x^3-2x-3

3 0
3 years ago
Identify the factors of x2 + 25y2. ...?
Sveta_85 [38]
Is the equation like this? x^2 + 25y^2?
If the equation is like that, the answer would be (x-5y)^2 or (x-5y)(x-5y).
how did I get this? Just divide the factors or the get the square root of 25y^2 and it would be 5y. Then just try if it is positive or negative. In this case, it is negative because there is no factor w/ no exponential form. I hopemy answer helped you.
4 0
3 years ago
Rectangle EFGH is the image of rectangle ABCD after a sequence of transformations. Which statement describes the transformation
nasty-shy [4]

Answer:

C. Rectangle ABCD was dilated with center (0, 0) and a scale factor of 1/2 followed by a translation right 3.5 units and down 8 units.

Step-by-step explanation:

See figure for intermediate steps.

8 0
3 years ago
Read 2 more answers
What is the equation for this graph pls help me and pls make sure it’s right:))
SVETLANKA909090 [29]

Answer:

y = 5x + 4

Step-by-step explanation:

First I found the slope by using the the definition that slope is rise/run so I saw that the y value went up from 4 to 9 which is 5 units and then the x value went up one in that same time. This means that the slope is 5/1. Then I found the y intercept by seeing where x = 0. On the graph you can see the line touches the y - axis at a value of 4 which means that the y - intercept is 4. Plugging these values into the y = mx + b equation you get y = 5x + 4.

8 0
3 years ago
Read 2 more answers
What is the equation of the line in point slope form given a slope of -3 and a point of (-2,-5)?​
Lelu [443]

Answer:

y = -3x - 11

Step-by-step explanation:

Use the given slope and point in the point-slope equation. Solving this will give us the y-intercept equation.

Point-slope formula: y - y = m(x - x)

Plug in the slope and point

y - (-5) = -3(x - (-2))

Subtracting negatives will make them positive. Multiply out the -3 to what is in the parentheses.

y + 5 = -3x - 6

Subtract the 5 from both sides

y = -3x - 11

The equation of the line is y = -3x - 11

7 0
3 years ago
Other questions:
  • Add the linear expressions. 2x + 1 and x + 2
    11·2 answers
  • What is 5,853.128 rounded to the nearest hundredth?
    9·2 answers
  • Find the value of x!!
    14·2 answers
  • The area of a trapezoid is 18 square meters. One base is 3 meters long and the other is 6 meters long. Find the height of the tr
    12·1 answer
  • Use the digits 5, 3, and 2 only once in each number.
    9·1 answer
  • A Luxury of Furniture at a store sells couches for $4,000,Reclining Chairs for $2,040 and loveseats for $2,800. This Luxury line
    14·1 answer
  • How many arrangements of 3 digits can be formed from the digits 0 through 9?
    7·2 answers
  • Name an angle of <br><br> A) 40°
    13·2 answers
  • Who ever gets it I will give Brainly and 20 points
    10·1 answer
  • Which equation could generate the curve in the graph below?
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!