Yes it is a solution because if you take the equation and plug the point in for the x and y :
4 (2) + 3 (3) < 20
8 + 9 < 20
17 < 20
which is true
10 (2) + (3) > 10
20 + 3> 10
23>10
which is also true
Answer:
X=0
Step-by-step explanation:
The number could be anything because whatever it is it can be quadrupled
Answer:
14
Step-by-step explanation:
the sum of the terms in the angle is 6x+6. Since the angles ate complementary their sum is 90 so you set the aforementioned sum equal to 90. You then solve for x and get 14.
The standard forrm equation of the circle is (x-h)² + (y-k)² = r²
where h,k : x,y-coordinate of the center
r : radius of the circle
Get the center of the circle : h = (x1 + x2)/2 = (9+5)/2 = 7
k = (y1 + y2)/2 = (4+2)/2 = 3
=> the center is (7,3)
Because the given information gave 2 endpoints so we can choose one of these, then use the distance formula to get the radius
r = √(x1 - h)² + (y1 - k)²
r = √(9 - 7)² + (4 - 3)²
r = √2² + 1²
r = √5
Finally, the equation of the circle is (x - 7)² + (y - 3)² = (√5)²
(x - 7)² + (y - 3)² = 5