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nignag [31]
3 years ago
12

Define Following:consistent equations

Mathematics
1 answer:
mario62 [17]3 years ago
3 0

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

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What is the relationship between the number of vertices in each polygon and the number of isosceles triangles?
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Step-by-step explanation:

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2 years ago
HELP ASAP please help I’ll mark as a brnlist
Mariana [72]

Answer:

Step-by-step explanation:

perpendicular (P) = 6

base (b) = 8

hypotenuse (h) =?

we know by using Pythagoras theorem,

h = \sqrt{(p)^{2} + (b)^{2}  } \\

 =    \sqrt{(6)^{2} + (8)^{2}  } \\

= 10

5 0
3 years ago
Write the exact value of the side length of each square. If the value is not a whole number, estimate the length.
Savatey [412]

Given:

The area of the squares are given.

To find:

The exact side length or estimate side length of the square.

Solution:

We know that, the area of a square is

A=a^2

Where, a is the side length of the square.

a=\sqrt{A}

Area of the square is 100 square units. So, the side length is:

a=\sqrt{100}

a=10

Therefore, the side length is 10 units.

Area of the square is 95 square units. So, the side length is:

a=\sqrt{95}

It is not exact. We know that \sqrt{81}.

Therefore, the side length is between 9 and 10.

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a=\sqrt{36}

a=6

Therefore, the side length is 6 units.

Area of the square is 30 square units. So, the side length is:

a=\sqrt{30}

It is not exact. We know that \sqrt{25}.

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8 0
3 years ago
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