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
DanielleElmas [232]
4 years ago
14

Can three segments with length 4 cm, 6 cm, and 11 cm be assembled to form an acute triangle, a right triangle, or an obtuse tria

ngle? Explain.
Mathematics
1 answer:
Aliun [14]4 years ago
4 0

Answer:

No

Step-by-step explanation:

Three segments 4cm, 6cm, and 11cm cannot form a right triangle because if they could, then by Pythagorean theorem, 4^2 + 6^2 = 11^2, which is not true.

Moreover, the three segments cannot form an acute or obtuse triangle because by Triangle Inequality Theorem, the sum of two sides has to be greater than the third side. Here, (4cm + 6cm) is NOT larger than 11cm, and thus you cannot form a triangle.

You might be interested in
Define Following:consistent equations
mario62 [17]

Answer:

1. Consistent equations

x + y = 3

x + 2·y = 5

2. Dependent equations

3·x + 2·y = 6

6·x + 4·y = 12

3. Equivalent equations

9·x - 12·y = 6

3·x - 4·y = 2

4. Inconsistent equations

x + 2 = 4 and x + 2 = 6

5. Independent equations

y = -8·x + 4

8·x + 4·y = 0

6. No solution

4 = 2

7. One solution

3·x + 5 = 11

x = 2

Step-by-step explanation:

1. Consistent equations

A consistent equation is one that has a solution, that is there exist a complete set of solution of the unknown values that resolves all the equations in the system.

x + y = 3

x + 2·y = 5

2. Dependent equations

A dependent system of equations consist of the equation of a line presented in two alternate forms, leading to the existence of an infinite number of solutions.

3·x + 2·y = 6

6·x + 4·y = 12

3. Equivalent equations

These are equations with the same roots or solution

e.g. 9·x - 12·y = 6

3·x - 4·y = 2

4. Inconsistent equations

Inconsistent equations are equations that are not solvable based on the provided set of values in the equations

e.g. x + 2 = 4 and x + 2 = 6

5. Independent equations

An independent equation is an equation within a system of equation, that is not derivable based on the other equations

y = -8·x + 4

8·x + 4·y = 0

6. No solution

No solution indicates that the solution is not in existence

Example,  4 = 2

7. One solution

This is an equation that has exactly one solution

Example 3·x + 5 = 11

x = 2

3 0
4 years ago
A car is traveling at a speed of 30 miles per hour. what is the car's speed in miles per minute? how many miles will the car tra
Aleksandr-060686 [28]
30 divided by 60 is 1/2 
1/2 miles per minute

10 x 1/2 = 5
5 miles in 10 minutes

Hope this helped
5 0
4 years ago
What is the degree of this polynomial? x ^ 3 + xy + x * y ^ 2 + 5y + 3
ludmilkaskok [199]

Answer:

The degree of the given polynomial is 3.

Hope it will help :)

6 0
3 years ago
Hi help rn plss<br> this is a system of equations question
otez555 [7]

Answer:

x=6, y=2

Step-by-step explanation:

8 0
3 years ago
12. If 3x + 4y = -1 and x - 2y = 3, then y=
Hatshy [7]

y=3 and x= 5

Step-by-step explanation:

  • 3×+×=-1 and 4y-2y=3
  • 4×=1 and 2y=3
  • ×=4-1 and y=3+2
  • x=3 and y=5
6 0
3 years ago
Other questions:
  • PLEASE HELP ASAP STUCK HELP PLEASE
    8·1 answer
  • Plz help with both questions
    11·1 answer
  • I need help with this ..
    14·2 answers
  • What is the first step in solving the equation 2a – 4 (a – 5) = 10?
    5·1 answer
  • The cost of a single ticket depends on the number of tickets, t, purchased in a group, as represented by the function C(t). C(t)
    13·2 answers
  • What is the area of a rectangle with a length of 28 meters and width of 17 meters?
    6·2 answers
  • The price of a cap is increased by 25%.By how much percent should its price be
    10·1 answer
  • Which statement is correct?
    15·1 answer
  • Given that triangle LMN is<br> similar to triangle GJH, what is<br> the value of x?
    15·1 answer
  • Find the product of (x − 9)2 and explain how it demonstrates the closure property of multiplication. X2 − 81; is a polynomial x2
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!