Answer:
x = - 8, x = 6
Step-by-step explanation:
Given the 2 equations
x² + y² = 100 → (1)
y = x + 2 → (2)
Substitute y = x + 2 into (1)
x² + (x + 2)² = 100
x² + x² + 4x + 4 = 100
2x² + 4x + 4 = 100 ( subtract 100 from both sides )
2x² + 4x - 96 = 0 ( divide through by 2 )
x² + 2x - 48 = 0 ← in standard form
(x + 8)(x - 6) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 8 = 0 ⇒ x = - 8
x - 6 = 0 ⇒ x = 6
When factoring, it's easier to "pick out" the GCF first because it makes it simpler to factor even further. Otherwise, you will be troubled with lots of numbers and variables, so it will just get confusing.
Answer:
1. $361800
Step-by-step explanation:
Given,
principle balance=$670
interest rate=8%

A= Final amount
P= initial Principal balance
r= interest rate
n= number of times interest applied per time period
t= number of times period elapsed
compound interest formula,
Therefore the Present value is $361800
Answer:
Option B. 
Step-by-step explanation:
we know that
In the right triangle of the figure
The sine of angle theta is equal to divide the opposite side to angle theta by the hypotenuse
so

substitute the given values

using a calculator
