Answer:
The equation of the circle is (x -8)² + (y -4)² = 184.96
Step-by-step explanation:
In order to determine the equation of this circle we first need to calculate the coordinates of the center, which are given by the difference of the coordinates divided by two. We have:
Xc = [13 - (-3)]/2 = (13 + 3)/2 = 16/2 = 8
Yc = (11 - 3)/2 = 8/2 = 4
Therefore the center is (8,4). We now need to find the radius of the circle, which is given by the distance from the center to one of the points given:
r = sqrt{[8 - (-3)]² + (11 - 3)²} = sqrt(11² + 8²) = 13.60
The equation of a circle is given by:
(x - Xc)² + (y - Yc)² = r²
(x -8)² + (y -4)² = (13.6)²
(x -8)² + (y -4)² = 184.96
Answer:
35
Step-by-step explanation:
370+50=420
420 divided by 12 equals 35
7 centimeters is a possible length for the third side ⇒ B
Step-by-step explanation:
Let us revise the triangle Inequality Theorem
- The sum of the lengths of any 2 sides of a triangle must be greater than the length of the third side
- To prove that by easy way add the smallest two sides, if their sum greater than the third side,then the sides can form a triangle
Assume that the length of the third side is x cm
∵ The length of two sides are 7 cm and 10 cm
∵ The length of the third side is x cm
- Put the sum of x and 7 greater than 10 ( x and 7 are the smallest sides)
∴ x + 7 > 10
- Subtract 7 from both sides
∴ x > 3
- Put the sum of 7 and 10 greater than x (7 and 10 are the smallest sides)
∵ 7 + 10 > x
∴ 17 > x
∴ x < 17
- By using one inequality for x (combined the two inequalities in one)
∴ 3 < x < 17
That means the length of the third side is any number between 3 and 17
There is only one answer between 3 and 17
∵ 7 is between 3 and 17
∴ The length of the third side could be 7 cm
7 centimeters is a possible length for the third side
Learn more:
You can learn more about triangles in brainly.com/question/4599754
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Every triangle measures 180 degrees, if you add every expression and set it equal to 180 you will find the value of x.
Therefore, C is your answer.