Answer:
6x² + 5x - 6
Step-by-step explanation:
Given
(2x + 3)(3x - 2)
Each term in the second factor is multiplied by each term in the first factor, that is
2x(3x - 2) + 3(3x - 2) ← distribute both parenthesis
= 6x² - 4x + 9x - 6 ← collect like terms
= 6x² + 5x - 6
Answer:
11.18 miles
Step-by-step explanation:
The sides of a right triangle a, b, c are related by the equation
a^2 + b^2 = c^2
where c is the longest side of the triangle
Hence given that A connects B and C directly and forms a right angle at A
5^2 + 10^2 = c^2
Where c is the length of the road
25 + 100 = c^2
125 = c^2
c = 125^1/2
= 11.18 miles
Answer:
The answer to your question is these lines are not perpendicular.
Step-by-step explanation:
Data
A (4, 2)
B (-1, 4)
slope = m = 4
Perpendicular lines mean that these lines cross and form an angle of 90°. Also, the slope of perpendicular lines is negative reciprocals.
Process
1.- Find the slope of the second line and compare it to the slope given.
slope = 
Substitution
slope = 
Simplification and result
slope = 
-2/5 is not a negative reciprocal of 4, so these lines are not perpendicular.