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
Write each mixed number as a decimal.<br> 1.) 4 1/5 <br> 2.) 12 14/15<br> 3.) 5 5/32
bezimeni [28]
I showed you how to do it in the picture.

<span>Answers:
1.) 4 1/5 = 4.22.) 12 14/15 = 12.93 (3 is repeating so draw a line on top of just the 3)<span>3.) 5 5/32 = 5.156 (the 56 is repeating so draw a line on top of just the 56)

Hope this helps you the </span><span>way you want! </span><span>-Jabba</span></span>

6 0
3 years ago
Read 2 more answers
.<br> Simplify the expression.<br><br> (7 – c)(–1)
Ganezh [65]
For this, you use the Law of Distribution and multiply -1 by all terms in the parentheses. 7 • -1 = -7; -c • -1 = c. Then you combine them, but since c is a variable, -7 + c is the most simplified it can get. I hope this helped!
7 0
3 years ago
Chang knows one side of a triangle is 13 cm. Which set of two sides is possible for the lengths of the other two sides
cupoosta [38]

Answer:

8 cm and 9 cm

Step-by-step explanation:

In order to find out, you add both 8 and 9 together. If the sum is above/higher than the number 13, they can all be made into a triangle. 8+9 is 17 and 17 is higher than 13.

hope this helps!

3 0
2 years ago
Read 2 more answers
Jason watched a caterpillar move 16 feet in 8 minutes. Jason says that the caterpillar's unit rate is 0.5 foot per minute. Is Ja
MrRa [10]

Answer:

Jason is incorrect.

The caterpillar's rate is 2 ft/min

Step-by-step explanation:

The rate of motion is defined as the quotient between the distance covered (in our case 16 feet) divided by the time it took to cover that distance (in our case 8 minutes)

Then, the rate is:

rate=\frac{distance}{time} = \frac{16\,\,ft}{8\,\,min} = 2\,\frac{ft}{min}

3 0
3 years ago
A lighthouse operator sights a sailboat at an angle of depression of 12°. If the sailboat is 80 m away, how tall is the lighthou
Brilliant_brown [7]

Answer:

‎ ‏‏‎‎ ‏‏‎‎ ‏‏‎‎ ‏‏‎‎ ‏‏‎‎ ‏‏‎‎ ‏‏‎‎ ‏‏‎‎ ‏‏‎‎ ‏‏‎‎ ‏‏‎ ‎ ‏‏‎‎ ‏‏‎‎ ‏‏‎‎ ‏‏‎‎ ‏‏‎‎ ‏‏‎‎ ‏‏‎‎ ‏‏‎‎ ‏‏‎‎ ‏‏‎‎ ‏‏‎ ‎ ‏‏‎‎ ‏‏‎‎ ‏‏‎‎ ‏‏‎‎ ‏‏‎‎ ‏‏‎‎ ‏‏‎‎ ‏‏‎‎ ‏‏‎‎ ‏‏‎‎ ‏‏‎ ‎ ‏‏‎‎ ‏‏‎‎ ‏‏‎‎ ‏‏‎‎ ‏‏‎‎ ‏‏‎‎ ‏‏‎‎ ‏‏‎‎ ‏‏‎‎ ‏‏‎‎ ‏‏‎ ‎ ‏‏‎‎ ‏‏‎‎ ‏‏‎‎ ‏‏‎‎ ‏‏‎‎ ‏‏‎‎ ‏‏‎‎ ‏‏‎‎ ‏‏‎‎ ‏‏‎‎ ‏‏‎ ‎ ‏‏‎‎ ‏‏‎‎ ‏‏‎‎ ‏‏‎‎ ‏‏‎‎ ‏‏‎‎ ‏‏‎‎ ‏‏‎‎ ‏‏‎‎ ‏‏‎‎ ‏‏‎ ‎ ‏‏‎‎ ‏‏‎‎ ‏‏‎‎ ‏‏‎‎ ‏‏‎‎ ‏‏‎‎ ‏‏‎‎ ‏‏‎‎ ‏‏‎‎ ‏‏‎‎ ‏‏‎ ‎ ‏‏‎‎ ‏‏‎‎ ‏‏‎‎ ‏‏‎‎ ‏‏‎‎ ‏‏‎‎ ‏‏‎‎ ‏‏‎‎ ‏‏‎‎ ‏‏‎‎ ‏‏‎ ‎ ‏‏‎‎ ‏‏‎‎ ‏‏‎‎ ‏‏‎‎ ‏‏‎‎ ‏‏‎‎ ‏‏‎‎ ‏‏‎‎ ‏‏‎‎ ‏‏‎‎ ‏‏‎ ‎ ‏‏‎‎ ‏‏‎‎ ‏‏‎‎ ‏‏‎‎ ‏‏‎‎ ‏‏‎‎ ‏‏‎‎ ‏‏‎‎ ‏‏‎‎ ‏‏‎‎ ‏‏‎ ‎ ‏‏‎‎ ‏‏‎‎ ‏‏‎‎ ‏‏‎‎ ‏‏‎‎ ‏‏‎‎ ‏‏‎‎ ‏‏‎‎ ‏‏‎‎ ‏‏‎‎ ‏‏‎ ‎ ‏‏‎‎ ‏‏‎‎ ‏‏‎‎ ‏‏‎‎ ‏‏‎‎ ‏‏‎‎ ‏‏‎‎ ‏‏‎‎ ‏‏‎‎ ‏‏‎‎ ‏‏‎ ‎ ‏‏‎‎ ‏‏‎‎ ‏‏‎‎ ‏‏‎‎ ‏‏‎‎ ‏‏‎‎ ‏‏‎‎ ‏‏‎‎ ‏‏‎‎ ‏‏‎‎ ‏‏‎ ‎ ‏‏‎‎ ‏‏‎‎ ‏‏‎‎ ‏‏‎‎ ‏‏‎‎ ‏‏‎‎ ‏‏‎‎ ‏‏‎‎ ‏‏‎‎ ‏‏‎‎ ‏‏‎ ‎ ‏‏‎‎ ‏‏‎‎ ‏‏‎‎ ‏‏‎‎ ‏‏‎‎ ‏‏‎‎ ‏‏‎‎ ‏‏‎‎ ‏‏‎‎ ‏‏‎‎ ‏‏‎ ‎ ‏‏‎‎ ‏‏‎‎ ‏‏‎‎ ‏‏‎‎ ‏‏‎‎ ‏‏‎‎ ‏‏‎‎ ‏‏‎‎ ‏‏‎‎ ‏‏‎‎ ‏‏‎ ‎ ‏‏‎‎ ‏‏‎‎ ‏‏‎‎ ‏‏‎‎ ‏‏‎‎ ‏‏‎‎ ‏‏‎‎ ‏‏‎‎ ‏‏‎‎ ‏‏‎‎ ‏‏‎ ‎ ‏‏‎‎ ‏‏‎‎ ‏‏‎‎ ‏‏‎‎ ‏‏‎‎ ‏‏‎‎ ‏‏‎‎ ‏‏‎‎ ‏‏‎‎ ‏‏‎‎ ‏‏‎ ‎ ‏‏‎‎ ‏‏‎‎ ‏‏‎‎ ‏‏‎‎ ‏‏‎‎ ‏‏‎‎ ‏‏‎‎ ‏‏‎‎ ‏‏‎‎ ‏‏‎‎ ‏‏‎ ‎ ‏‏‎‎ ‏‏‎‎ ‏‏‎‎ ‏‏‎‎ ‏‏‎‎ ‏‏‎‎ ‏‏‎‎ ‏‏‎‎ ‏‏‎‎ ‏‏‎‎ ‏‏‎

5 0
3 years ago
Other questions:
  • What is the original price if there is a 10% discount and the sale price is $76.50
    14·1 answer
  • Find the volume of a cube where the length of each side is 6 centimeters. Volume =_____ cm3
    7·1 answer
  • Solve the triangle. A = 54°, b = 11, c = 8
    12·1 answer
  • Which is a solution to the equation y=5x-6
    15·2 answers
  • Which of the following is a radical equation?
    13·2 answers
  • What is the simplified form of -9m^-2n^5 times 2m^-3n^-6
    8·1 answer
  • The number of cases of a new disease can be modeled by the quadratic regression equation y = –2x2 + 36x + 6, where x represents
    13·1 answer
  • NEED HELP PLZ!<br> Find 4B.
    5·1 answer
  • Math problem pls help
    7·1 answer
  • According to the fundamental theorem of algebra, which polynomial function has exactly 6 roots? f (x) = 5 x superscript 4 baseli
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!