The distributive property: a(b + c) = ab + ac
(x - 3)(4x + 2) = (x)(4x + 2) + (-3)(4x + 2)
= (x)(4x) + (x)(2) + (-3)(4x) + (-3)(2) = 4x² + 2x - 12x - 6
<h3>= 4x² - 10x - 6</h3>
Answer:
Area of the given regular pentagon is 61.5 cm².
Step-by-step explanation:
Area of a regular polygon is given by,
Area =
Here, a = Apothem of the polygon
P = Perimeter of the polygon
Apothem of the regular pentagon given as 4.1 cm.
Side of the pentagon = 6 cm
Perimeter of the pentagon = 5(6)
= 30 cm
Substituting these values in the formula,
Area =
= 61.5 cm²
Therefore, area of the given regular pentagon is 61.5 cm².
Answer:
1 508.57143 steps
Step-by-step explanation:
divide 5,280 feet by 42 inches to get 1 508.57143 steps.
Answer:
See below
Step-by-step explanation:
Grade is slope = rise / run
a) horizontal distance 1400 ft (run) vertical distance = 40 ft (rise)
40 / 1400 = 2.85%
b) rise / run = 805.58 / 13780 = 5.84%
A light bulb distributor was given a study from an LED bulb manufacturer showing that LED light bulbs are better for the environment than traditionalbulbs. Is there an incentive for this study to be biased? Why or why not?
<span>Yes, because the LED bulb manufacturer may benefit from the survey results.
</span>
If the light bulb distributor will decide get more stock of LED bulb due to the study given by the LED company, then, the LED company will benefit from it.