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
Crank
2 years ago
5

Simplify and find the perimeter of the triangle

Mathematics
2 answers:
lbvjy [14]2 years ago
7 0

Answer:

2x - 19

Step-by-step explanation:

Perimeter = sum of sides

First let's simplify each side

We can simplify each side by using distributive property. Distributive property is where you multiply the number on the outside of the parenthesis by the numbers on the inside of the parenthesis.

2(x + 5)

Distribute by multiplying x and 5 by 2

2 * x = 2x and 2 * 5 = 10

2x + 10

1/2(4x + 8)

Distribute by multiplying 4x and 8 by 1/2

1/2 * 4x = 2x and 1/2 * 8 = 4

2x + 4

-3(2x + 11)

Distribute by multiplying 2x and 11 by -3

-3 * 2x = -6x

-3 * -33

-6x - 33

Finally add all the simplified expressions ( remember that they represent the side lengths of the triangle )

2x + 10 + 2x + 4 - 6x - 33

Combine like terms

2x + 2x - 6x = -2x

10 + 4 - 33 = -19

Perimeter: -2x - 19

Novay_Z [31]2 years ago
3 0

Answer:

Perimeter = - 2x - 19

Step-by-step explanation:

Perimeter \: of \: a \: triangle \\ = Sum \: of \: the \: length \: of \: all \: sides \\ = [2(x+5)]+[-3(2x+11)]+[ \frac{1}{2} (4x+8)] \\  = [(2 \times x)+(2 \times 5)]+[(-3 \times 2x)+( - 3 \times 11)]+[ (\frac{1}{2} \times 4x)  + ( \frac{1}{2}  \times 8)] \\  = (2x + 10) + ( - 6x - 33) + (2x + 4) \\  = 2x + 10  - 6x - 33 + 2x + 4 \\  = 2x - 6x + 2x + 10 - 33 + 4 \\  =  - 2x - 19

So, the perimeter is - 2x - 19.

You might be interested in
Badal has 120 cm 3 of water. He wants to pour it into a rectangular vase that is 4 cm high, 4 cm wide, and 5 cm long. Can he pou
Anestetic [448]

Answer:

volume= 4×4×5

80

Therefore he can't pour all the water into the vase because the amount of water is 120cm³ whilst the vase is 80. An amount of water as that can't fill the vase

6 0
3 years ago
The volumes of two cylindrical cans of the same shape vary directly as the cubes of their radii. If a can with a six-inch radius
Cerrena [4.2K]

Answer:

The second similar can with a radius of 24-inch radius will hold 12 gallons

Step-by-step explanation:

The given parameters are;

The volumes of the cylindrical can ∝ (The radius of the cans)³

The volume of first can, V₁ = 1¹/₂ pints

The radius of the first can, r₁ = 6-inch

The radius of the second can, r₂ = 24-inch

Therefore, we have;

V ∝ r³

V = k × r³

∴ 1¹/₂ pints ∝ (6 in.)³

1¹/₂ pints = 43.3125 in³

∴ 43.3125 in³ = k × 216 in.³

The constant of proportionality, k = 43.3125/216 = 0.2005208333

Therefore, we have for the second can, we have;

V₂ = k × r₂³ = 43.3125/216 × (24 in.)³ = 2772 in.³

The volume of the second can = 2772 in.³

1 in.³ = 0.004329 gallons

∴ 2772 in.³ = 2772 × 0.004329 gallons = 12 gallons

Therefore, the volume the second similar can with a 24-inch radius will hold = 12 gallons.

8 0
3 years ago
What is 3 to the power of 10 times 3 to the power of 10 equal?
prohojiy [21]

Answer:

1,000,000

Step-by-step explanation:

10^3*10^3

5 0
2 years ago
HELP HELP HELP
Alik [6]
The answer would be 7
7 0
3 years ago
Help me please !!!!! ASAP !
irga5000 [103]

Answer:

x = 6 sqrt(3)

Step-by-step explanation:

Since this is a right triangle, we can use the Pythagorean theorem

a^2 + b^2 = c^2  where a and b are the legs and c is the hypotenuse

6^2+ x^2 = 12^2

36 + x^2 = 144

Subtract 36 from each side

x^2 = 144-36

x^2 =108

Take the square root of each side

sqrt(x^2) = sqrt(108)

x = sqrt(36*3)

x = 6 sqrt(3)

8 0
2 years ago
Other questions:
  • sarah’s dog is half the size of her sisters dog. combined, the two dogs weigh 60 pounds. which equation best describes the weigh
    11·1 answer
  • Simplifying exponential expressions. a^5 b^5 c^5
    6·1 answer
  • Student Council is selling candy grams. They are using the formula
    8·1 answer
  • In the class , 0.48 of the students have brown hair. 3/11 of the students have blonde hair . What percent of students have neith
    15·1 answer
  • Sonya found that x = is one solution of (6x + 4)2
    5·1 answer
  • What is an expression which combines numbers and operations?
    15·1 answer
  • Wilscy owns a toy store. The number of toy trains sold (in thousands) from 2000 through 2005 can be modeled by M(x) = −0.5x3 + 2
    9·1 answer
  • If x and y vary inversely and x = 5 when y = -3.5, what is the value of x when y = 10?
    11·1 answer
  • Write the equation in standard form for the circle with center (0, – 8) and radius 10.
    11·1 answer
  • (8x + 9) + (15 - 8x)
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!