Given:
The equation of a circle is:
To find:
The center and radius of the circle.
Solution:
We have,
To make complete square add square of half of x and square of half of y on both sides.
...(i)
The standard form of a circle is:
...(ii)
On comparing both sides, we get
Therefore, the center of the circle is (-2,3) and the radius is 3 units.
Answer:
y = -2x + 3 is the required equation
Step-by-step explanation:
From the graph we will get two ordered pairs
If we see that When x=0 then y=3 and when x = 1 then y=1
Now from this we can find the slope of the Graph
So slope of graph = (y2 - y1) / (x2-x1)
=(1-3) / (1-0)
=-2
So
Slope = m = -2
Now the equation is
y = mx + b
We have to find the value of b
as we have two ordered pairs we can take any of it to find the value of b because line passes through those points
taking (0,3) as a point
y= mx + b
put values
3 = -2*(0) + b
so
b=3
Now the equation of the line in this form is
y = mx + b
which is
y = -2x + 3
Answer:
x = 107/15
Step-by-step explanation:
Our first step should be to turn all of the mixed fractions into improper fractions. So, 1 2/3 becomes 5/3, and -2 1/5 becomes -11/5. We now get -1/4(x + 5/3) = -11/5. Now we should divide both sides by -1/4, and we get x + 5/3 = -11/5 x -4 = 44/5. So x + 5/3 = 44/5. We want the denominator to be equal on both sides so a common denominator could be 15. 5(5)/3(5) = 25/15. 44(3)/5(3) = 132/15. So now we have x + 25/15 = 132/15. We subtract both sides by 25/15 and we get x = 107/15.
The direct proportion is shown by table (B)
<h3>What is direct proportion?</h3>
Direct proportion or direct variation is the relation between two quantities where the ratio of the two is equal to a constant value.
Here the second table shows the direct proportion relation.
This is because the ratio of x/y remain same.
4/2= 7/3.5= 10/5= 11/5.5= 15/7.5 = 2/1
Learn more about direct proportion here:
brainly.com/question/14664532
#SPJ1
Answer:
22.5
Step-by-step explanation:
Inscribed Angle =1/2 Intercepted Arc
F = 1/2 (45)
<F = 22.5
