3 of 5 What is the nth term rule of the linear sequence below? 13,7,1, -5, -11, ... © T=
1 answer:
You might be interested in
Answer:
x = - , x = 1
Step-by-step explanation:
Given
2x - 5 = - 3x² ( add 3x² to both sides )
3x² + 2x - 5 = 0 ← in standard form
Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term.
product = 3 × - 5 = - 15 and sum = + 2
The factors are - 3 and + 5
Use these factors to split the x- term
3x² - 3x + 5x - 5 = 0 ( factor the first/second and third/fourth terms )
3x(x - 1) + 5(x - 1) = 0 ← factor out (x - 1) from each term
(x - 1)(3x + 5) = 0 ← in factored form
Equate each factor to zero and solve for x
3x + 5 = 0 ⇒ 3x = - 5 ⇒ x = -
x - 1 = 0 ⇒ x = 1
Answer:
The answer is 130 feet
Step-by-step explanation:
Using Pythagoras' Theorem:
120² + 50² = diagonal²
diagonal² = 16900ft
diagonal = √16900
= 130ft
(Correct me if i am wrong)
