Are all even numbers composite? Yes or no
1 answer:
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1.what is the length of the segment joining 3,6 and -2,-6 : 13 units
2.what is the center of the circle (x+6)^2+(y-8)^2=144 => (-6,8)
3.what is the slope of the line 3y+2x-6=0=> -2/3
Step-by-step explanation:
<u>1.what is the length of the segment joining (3,6) and (-2,-6)?</u>
Let
(x1,y1) = (3,6)
(x2,y2) = (-2,-6)
The length of a segment is given by:
<u>2.what is the center of the circle (x+6)^2+(y-8)^2=144</u>
The equation of circle is given by:
Here, h and k are the coordinates of centre of circle
x - h = x+6
-h = 6
h = -6
y - 8 = y - k
-8 = - k
k = 8
So,
The center of circle is: (-6,8)
<u>3.what is the slope of the line 3y+2x-6=0</u>
We have to convert the equation in slope-intercept form to find the slope
Slope-intercept form is:
y = mx+b
Now,
Dividing both sides by 3
In slope-intercept form, the co-efficient of x is the slope of the line so
m = -2/3
Keywords: Coordinate geometry, Slope
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