Visualize the problem. We will have to use the distance formula:
d = √(x₂ - x₁)² + (y₂ - y₁)²
Let the unknown point be (x,y). The solution is as follows:
Distance between A and the point.
3 = √(4 - x₁)² + (8 - y₁)²
9 = 16 - 8x₁ + x₁² + 64 - 16y₁ + y₁² --> eqn 1
Distance between point and B
1 = √(14 - x₁)² + (10 - y₁)²
1 = 196 - 28x₁ + x₁² + 100 - 20y₁ + y₁² --> eqn 2
Subtract eqn 2 from eqn 1:
8 = -180 + 20x₁ - 36 + 4y₁
8 = -216 + 20x₁ + 4y₁
224 = 20x₁ + 4y₁
56 = 5x₁ + y₁ --> eqn 3
The last equation would be the linear equation using points A and B.
m = (10-8)/(14-4) = 1/5 = (8 - y₁)/(4 - x₁)
4 - x₁ = 5(8 - y₁)
4 - x₁ = 40 - 5y₁
-36 = x₁ - 5y₁ --> eqn 4
Solve equations 3 and 4 simultaneously:
x₁ = 9.38
y₁ = 9.08
<em>Therefore, the closest answer is letter B.</em>
Answer:
The earning rate is approximately 0.08.
Step-by-step explanation:
We can determine the yearly rate by means of compound interest, which is defined by:
(Eq. 1)
Where:
- Initial deposit, measured in US dollars.
- Earning rate, dimensionless.
- Earning periods, measured in years.
We proceed to clear the earning rate within:
If we know that and , then the earning rate is:
The earning rate is approximately 0.08.
Answer:
Maya 22 Ryan 66 Eric 28
Step-by-step explanation:
m+e+r=116
r=3m
e=m+6
m+m+6+3m=116
Maya sent 22
Ryan is 22*3=66
Eric 22+6=28
Answer:
Step-by-step explanation:
Multiply both sides by (r²)....
Divide both sides by (GM₁)....