First, determine the center of the circle by getting the midpoint of the points given for the circumference.
midpoint = ((0 + 0)/2, (3 + -4)/2)
midpoint (0, -0.5)
Then, we get the radius by determining the distance from either of the circumferential point to the center.
radius = √(0 - 0)² + (3 +4)² = 7
The equation for the circle would be,
x² + (y + 0.5)² = 7²
Answer:
a_n = 2.2 + 0.6 n
a_50 = 32.2
Step-by-step explanation:
What's the common difference of this series?
Common difference = 
.
Expression for the nth term:
n = 50 for the fiftieth term. Therefore
.
Answer:
69cm on all 4 sides
Step-by-step explanation:
196/4= 69
If we let x be the width of the garden, then x+4 will be the length. The Pythagorean theorem states that the square of the hypotenuse is equal to the sum of the squares of the legs.
12² = (x)² + (x + 4)²
Simplifying,
144 = x² + x² + 8x + 16
Further simplification,
144 = 2x² + 8x + 16
x² + 4x - 128 = 0
The value of x from the equation is 6.2 ft. The length is then equal to 10.2 ft.
The answer to this item is the second choice.
