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:
therefore m=-3•5
Step-by-step explanation:
-39=18+4m
collect like terms
4m=18-39
4m=-14
divide both sides by 4m
m= -3•5
No 12.14 is not bigger than 12.44
12.14 < 12.44
The math translation is: x^2-4x=12
So then you can subtract 12 from both sides and solve as a quadratic equation.
X^2-4x-12=0
This factors into:
(X-6)(x+2)=0.
So then the answer would be 6 or -2.
Answer:
26,please check my calculations in explanation.
Step-by-step explanation:
3+3+2+2+4+4+4+4