Answer:
A. 3, 4, 5
Step-by-step explanation:
Option A:
LHS = 3² + 4² = 9 + 16 = 25
RHS = 5² = 25
(3, 4, 5) is a right triangle.
Option B:
LHS = 7² + 8² = 49 + 64 = 113
RHS = 9² = 81
(7, 8, 9) is NOT a right triangle.
Option C:
LHS = 3² + 9² = 9 + 81 = 90
RHS = √95² = 95
(3, 9, √95) is NOT a right triangle.
Hello it’s 25degree brother here’s the solution
Answer:
{(-34/7, -16/7)}
Step-by-step explanation:
Rearrange values, multiply to solve for x.
(5) 2y = 3x + 10
(-2) 5y = 4x + 8
Solve for x.
10y = 15x + 50 ↓
-10y = -8x -16
Combine and evaluate.
0 = 7x + 34
Subtract 34 from both sides.
7x = -34
Divide both sides by 7.
x = 
Plugin x value into either equation to solve for y.
2y = (3 × ) + 10
2y = 
+ 10
2y = 
y = 
The answer is 8.25 years
The exponential function can be expressed as:
A = P * e^(kt)
A - the final amount
P - the current amount
k - the rate
t - time in years
If the final amount is the half of its current amount, then:
A = P/2
So,
A = P * e^(kt)
P/2 = P * e^(kt)
Divide P from both sides:
1/2 = e^(kt)
Logarithm both sides with natural logarithm:
ln(1/2) = ln(e^(kt))
ln(0.5) = kt * ln(e)
k = -0.084
-0.693 = -0.084 * t * 1
-0.693 = -0.084t
t = -0.693 / -0.084
t = 8.25 years
