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Igoryamba
3 years ago
7

What is the general form of the equation of the given circle with center A

Mathematics
1 answer:
Nonamiya [84]3 years ago
5 0
When the centre A(xa,ya) and radius are given, the general equation is

(x-xa)^2+(y-ya)^2=r^2

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State the domain and range<br> of f(x) = x²
ANTONII [103]

Answer:

Domain : All real numbers

Range: y >= 0

Step-by-step explanation:

4 0
2 years ago
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Reduce fraction 27/36 lowest term
natta225 [31]
The lowest term is 3
                            ---
                             4

hope this helps
3 0
3 years ago
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What is the slope of this line?
nataly862011 [7]

Answer: -\frac{8}{5}

Remember: RISE/RUN (y/x). Lines that are increasing have a positive slope, and lines that are decreasing have a negative slope.

You can find the slope in two ways:

1. Useful if the line is graphed: count the units between 2 points on the line.

  • Let's use the points (-1, 4) and (4, -4).
  • (-1, 4) is 8 units higher than (4, -4) and 5 units to the left of (4, -4).
  • Because the line is decreasing, the slope is negative.
  • Therefore, the slope is -\frac{8}{5}.

2. Useful if the line is not graphed: find the difference between the y-coordinate values divided by the difference of the x-coordinate values.

  • Let's use the points (-1, 4) and (4, -4).
  • \frac{-4 - 4}{4 - (-1)} = \frac{-8}{5}
  • Therefore, the slope is -\frac{8}{5}.
4 0
4 years ago
Read 2 more answers
write a system of linear equations in which (3,-5) is a solution of equation 1 but not a solution of equation 2 and (-1,7) is a
Ainat [17]

Answer:

Examine this system of linear equations.

y – 3x = –2,

y = 4

Which is a solution of the system of equations?

(0, 4)

(2, 2)

(2, 4)=this is the correct answer

(4, 2)

Step-by-step explanation:

thats the answer

(2,4)

4 0
3 years ago
Find all solutions to the following system of equations -y²+6y+x-9=0 ; 6y=x+27.Illustrate with a graph.
Dimas [21]

Answer:

The solution to the system is the pair (9, 6)

Step-by-step explanation:

Hi!

First, let´s write the system of equations:

-y² + 6y + x -9 = 0

6y = x +27

The solutions of the system are the pairs (x, y) that satisfy both equations.

Let´s take the second equation and solve it for x:

6y = x +27

Subtract 27 from both sides of the equation

6y - 27 = x

Now, we can replace x in the first equation and solve it for y:

-y² + 6y + x -9 = 0

-y² + 6y + 6y - 27 -9 = 0

-y² + 12y - 36 = 0

Notice that -y² + 12y - 36 = -(y - 6)², then:

-(y - 6)² = 0

y - 6 = 0

y = 6

(alternatively you can solve the quadratic equation using the quadratic formula).

Now let´s find the value of x:

x = 6y -27

x = 6·6 -27

x = 9

The solution to the system is the pair (9, 6)

Please see the attached figure. The point where the curves intersect is the solution to the system.

6 0
3 years ago
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