Answer:
Step-by-step explanation:
Given
Required
Write an equation to determine the payment at a given week
At week 1, she'd have paid $8
At week 2, $16
Week 3, $24
..
.
This leads to arithmetic progression (AP):
8, 16, 24.....
To further solve, we'll make use of AP formula
In this case;
So, the equation becomes
Collect Like Terms
The above represents the amount paid at a particular week;
Amount owed, L is then calculated as follows;
Answer:
x = 6
Step-by-step explanation:
Given ∠ 1 = ∠ 2 then the segment is an angle bisector and the ratios of sides to base are equal, that is
=
( cross- multiply )
x(x - 4) = 12 ← distribute left side
x² - 4x = 12 ( subtract 12 from both sides )
x² - 4x - 12 = 0 ← in standard form
(x - 6)(x + 2) = 0 ← in factored form
Equate each factor to zero and solve for x
x - 6 = 0 ⇒ x = 6
x + 2 = 0 ⇒ x = - 2
However, x > 0 , thus x = 6