The Pythagorean Theorem works for all RIGHT triangles.
Step-by-step explanation:
It's the <em>DISTRIBUTIVE PROPERTY</em>:
m(a + b) = ma + mb

Other properties:
Commutative Property:
<em>of addition: a + b = b + a</em>
<em>of multiplication: a · b = b · a</em>
Associative Property:
<em>of addition: (a + b) + c = a + (b + c)</em>
<em>of multiplication: (a · b) · c = a · (b · c)</em>
You just combine 16 and g to get 16g.
The roller coaster starts at ground level.
Start: ground level, 0 ft altitude.
Climbs 110 ft: now it is at 0 ft + 110 ft = 110 ft altitude
Drops 65 ft: now it is at 110 ft - 65 ft = 45 ft altitude
Climbs 135 ft: now it is at 45 ft + 135 ft = 180 ft altitude
Since after the last step it is at 180 ft altitude, for the altitude to go back to 0, you must do 180 ft - 180 ft since 180 ft - 180 ft = 0 ft, ground level. The -180ft (the subtraction of 180 ft) part is a 180 ft drop. Therefore, the roller coaster needs to drop 180 ft to get back to ground level.
Answer:
x = - 1, x = 
Step-by-step explanation:
Given
8x² + 7x - 1 = 0 ← in standard form
Consider the factors of the product of the x² term and the constant term which sum to give the coefficient of the x- term
product = 8 × - 1 = - 8 and sum = + 7
The factors are + 8 and - 1
Use these factors to split the x- term
8x² + 8x - x - 1 = 0 ( factor the first/second and third/fourth terms )
8x(x + 1) - 1(x + 1) = 0 ← factor out (x + 1) from each term
(x + 1)(8x - 1) = 0
Equate each factor to zero and solve for x
x + 1 = 0 ⇒ x = - 1
8x - 1 = 0 ⇒ 8x = 1 ⇒ x = 