Answer:
$150
Step-by-step explanation:
Answer:
x = 6
Step-by-step explanation:
Given
6x² - 2x + 36 = 5x² + 10x ( subtract 5x² + 10x from both sides )
x² - 12x + 36 = 0 ← in standard form
This is a perfect square of the form
(x - a)² = x² - 2ax + a²
36 = 6² ⇒ a = 6 and 2ax = (2 × 6)x = 12x, hence
(x - 6)² = 0
x - 6 = 0 ⇒ x = 6
Answer:
61.64 cm
Step-by-step explanation:
The longest metal rod which could be stored in a rectangular box will be equal to its diagonal:
Thanks! You got the concept, so use the formula from the top of the page to help you. Use the information provided in the examples and set up the formula with the correct numbers. Then, solve. Then you will find out how much you need to owe.
Trust me: You must know how to do this basic factoring yourself.
x^2 -5x - 6 factors into (x-6)(x+1). Note how I got that: -6 is the product of 1 and -6, and -6 + 1 = -5.
You could also factor this by grouping:
x^2 -5x - 6 = x(x-6) + 1(x-6). Note how the middle terms combine to produce -5x and how (x-6) is a factor common to both terms; this leaves (x+1). So the factors are (x-6)(x+1).
