Answer:
- The epicenter is ( - 2, 3)
Step-by-step explanation:
Let the epicenter be E(x, y).
Use the distance formula for each given distance:
- AE² = (x + 2)² + (y - 5)² = 2²
- BE² = (x - 2)² + (y - 3)² = 4²
- CE² = (x + 2)² + (y + 4)² = 7²
Use the first and third equations, considering both have same term for x, and solve for y:
- (y - 5)² - 4 = (y + 4)² - 49
- y² - 10y + 25 - 4 = y² + 8y + 16 - 49
- 18y = 54
- y = 3
Substitute y into one of equations and solve for x:
- (x + 2)² + (3 - 5)² = 4
- (x + 2)² + 4 = 4
- (x + 2)² = 0
- x + 2 = 0
- x = - 2
The epicenter is E( - 2, 3)
Answer:
l = 9p/4 , l = 9p/4
Step-by-step explanation:
Given:
Perimeter = 9p
Find:
Length and width
Computation:
Assume;
Length = l
Perimeter = 2(l+b)
9p/2 = l+w
w = 9p/2 - l
Area = lb
Area = l(9p/2 - l)
Using differentiation
l = 9p/4
w = 9p/2 - l
w = 9p/2 - 9p/4
w = 9p/4
Step-by-step explanation:
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Given:
Perimeter of the figure = 18.6 inches
To find:
The length of n.
Solution:
Perimeter of the figure = 18.6 inches
Perimeter = Sum of the sides
3 + 6.3 + 4.5 + n = 18.6
13.8 + n = 18.6
Subtract 13.8 from both sides.
13.8 + n - 13.8 = 18.6 - 13.8
n = 18.6 - 13.8
n = 4.8
The length of n is 4.8 inch.
There is still an negative you have to change the subtraction sign to an addition sign ALONG with the negative number
