The simplest form of -(6x+2y)+4(2x-y) = -2(-x+3y).
Answer:
9 + 2j is the required algebraic equation.
Answer:
1.17 units
Step-by-step explanation:
From the definition of the sine of an angle, you know ...
sin(45°) = AC/AB = 4/AB ⇒ AB = 4/sin(45°) ≈ 5.6569
sin(63°) = AC/AD = 4/AD ⇒ AD = 4/sin(63°) ≈ 4.4893
Then the difference AB-AD is ...
AB -AD = 5.6569 -4.4893 = 1.1676
AB -AD ≈ 1.17 units
Total amount of gas purchased by Ivy's father in the first week = 22.5 gallons
total amount of gas purchased by Ivy's father in the second week = 19.71 gallons
Let us assume the amount of gas purchased by Ivy's father in the third week = x
The total quantity of gas purchased in 3 weeks by Ivy's father = 61.75 gallons
Then
22.5 + 19.71 + x = 61.75
42.21 + x = 61.75
x = 61.75 - 42.21
= 19.54 gallons
So 19.54 gallons of gas was bought by Ivy's father in the third week
Answer:
ab² - 9
Step-by-step explanation:
Given in the question an expression
(ab + 3)(ab - 3)
To product mentally we will use polynomial identity called
Difference of squares
<h3>a² - b² = (a+b)(a-b) </h3>
here a = ab
b = 3
(ab + 3)(ab - 3) = ab² - 3² = ab² - 9