We are given with a circle and we need to find the <em>equation of the circle</em> , but first let's recall that , the equation of a circle with radius<em> 'r'</em> and centre at <em>(h,k) </em>is given by 
Now , here as as the circle cuts the +ve x-axis at (9,0) . So , it's radius is 9 units or the 2nd way is to measure the distance from centre of the circle to the point where the circle cuts the graph , as the centre is at Origin , so here <em>(h,k) = (0,0)</em> .Which means that the centre is located at the point whose coordinates are<em> (0,0)</em> which is also known as origin . Now , finding the equation of the circle :-
<em>This is the required equation of Circle</em>
Answer:
Slope of the line passing through the points (-5,7) and (-3,5) is -1.
Step-by-step explanation:
slope of line passing through point (x1,y1) and (x2,y2) is given by
m = (x2-x1)/(y2-y1)
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In the problem given points are (-5,7) and (-3,5)
using the formula for finding slop ewe have
m = (-3-(-5))/(5-7)
=> m = (-3+5)/-2
=> m = 2/-2
=> m = -1
Thus, slope of the line passing through the points (-5,7) and (-3,5) is -1.
Answer:
answer is I am expecting that option d is correct answer
7) Area trapezoid = (B+b).H/2, but the Median is equal to (B+b)./ 2
84 =12 . H ==> H = 84/12 ==> H = 7
11) Area Equilateral triangle inscribe in a cercle with Radius R = 2√3
Area = (B.. Altitude) / 2. Calculate H, the altitude. The altitude in an equilateral triangle bisects the opposite side. Apply Pythagoras
(2√3)² = (√3)² + H² ==> 12 = 3 + H² ==> H² = 9 & H = 3
Hence Are = (2√3 x 3) /2 ==> 3√3 unit² or 5.2 unit²
12) Area of regular hexagone with perimeter =12
regular hexagone is formed with 6 equilateral triangles with
each side =12/6 = 2 units
Let's calculate the area of 1 equilateral triangle. Follow the same logic as in problem 11 & you will find that Altitude = √3, Area =(2.√3)/2 =√3 =1.73 Unit³
13) a) Circumference of a circle : 2πR==> 2π(30) =60π = 188.4
b) Area of a circle =πR³ ==> π(30)² = 900π = 2,826 unit²
Answer:
#10: 5/36
#11: 5/6
Step-by-step explanation:
#10:
The following combinations will get you 6.
1 - 5
2 - 4
3 - 3
4 - 2
5 - 1
These are only 5 of the 36 possible combinations, so you have 5/36 of a chance to get a combo of equal 6.
#11:
Like with #10, list the possible combinations that will get you 7.
1 - 6
2 - 5
3 - 4
4 - 3
5 - 2
6 - 1
That's only six combinations, but we're not including those. Subtract 6 from 36 to get 30. 30/36 simplifies to 5/6 (GCF of 30 & 36 is 6), so that is the answer to #11.
