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mafiozo [28]
3 years ago
13

The standard form of the equation of a circle with center (h, k) and radius r is __________________.

Mathematics
1 answer:
Naddika [18.5K]3 years ago
5 0
\bf \textit{equation of a circle}\\\\ 
(x-{{ h}})^2+(y-{{ k}})^2={{ r}}^2
\qquad 
\begin{array}{lllll}
center\ (&{{ h}},&{{ k}})\qquad 
radius=&{{ r}}
\end{array}
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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
3 years ago
How many three-fourths are in 2
Elis [28]
3/4 times x=2
times both sides by 4/3 to clear fraction (4/3 times 3/4=12/12=1)
1x=8/3
there are 8/3 of them in 2

6 0
2 years ago
Read 2 more answers
98 = x + 55 what is it????
strojnjashka [21]

Answer:

x = 43

Step-by-step explanation:

x = 98 - 55

<u>x = 43</u>

3 0
3 years ago
Read 2 more answers
A side of the triangle below has been extended to form an exterior angle of 62°. Find the value of x
telo118 [61]

Answer:

16 degrees

Step-by-step explanation:

62= 46+x

16=x

5 0
2 years ago
Match the following items.<br> Plane<br> Point<br> Line<br> Ray<br> Line segment
Sophie [7]

Answer:

The first one is a line because a line extends infinitely in both directions which the arrows indicate.

The second one is a plane since it is a 2-dimensional shape.

The last one depicts 2 rays because rays have one endpoint, but extend infinitely in the other direction.

8 0
3 years ago
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