Answer:
x=-38
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
3(x−6)−2(2x+3)=14
(3)(x)+(3)(−6)+(−2)(2x)+(−2)(3)=14(Distribute)
3x+−18+−4x+−6=14
(3x+−4x)+(−18+−6)=14(Combine Like Terms)
−x+−24=14
−x−24=14
Step 2: Add 24 to both sides.
−x−24+24=14+24
−x=38
Step 3: Divide both sides by -1.
−x
−1
=
38
−1
x=−38
Step-by-step explanation:
it's an equilateral triangle so all sides are equal
using Pythagorean theorem
2(√6) raised to the power of 2 = √6 raised to the power of 2 + x raised to the power of 2
2(√6) raised to the power of 2 is 12
√6 raised to the power of 2 is 6
therefore 12=6 + x
x = 12-6
x=6
The answer to this question is: 9
Answer:
Step-by-step explanation:
The circumference of the tree is the distance around the tree's circular top. The formula for determining the circumference of a circle is expressed as
Circumference = 2πr
If the tree has a circumference of 16 ft, it means that
2πr = 16
πr = 16/2 = 8
r = 8/π
The formula for determining the volume of a cylinder is expressed as
Volume = πr²h
if the tree is 10ft tall, then the volume of wood it contains is
Volume = π × (8/π)² × 10
Volume = 64/π × 10
Volume = 64/3.14 × 10
Volume = 204 cubic feet
Answer:
The answer to your question is the letter B. 5y³ - 18y² + 29y - 12
Step-by-step explanation:
Data
(y² - 3y + 4)(5y - 3)
Process
1.- Multiply the first terms by 5y
(y² - 3y + 4)(5y) = 5y³ - 15y² + 20y
2.- Multiply the first terms by -3
(y² - 3y + 4)(- 3) = -3y² + 9y - 12
3.- Simplify like terms
5y³ - 15y² + 20y -3y² + 9y - 12 = 5y³ + (-15y² - 3y²) + (20y + 9y) -12
4.- Result
= 5y³ - 18y² + 29y - 12
