Answer:
x = 1/4 ± 1/4√233
Step-by-step explanation:
(2x + 5)(x - 3) = 14
~Use FOIL on the left side
2x² - 6x + 5x - 15 = 14
~Combine like terms
2x² - x - 15 = 14
~Subtract 14 to both sides
2x² - x - 29 = 0
~Use the quadratic formula and simplify
x = 1/4 ± 1/4√233
Best of Luck!
Answer:
5 feet
Step-by-step explanation:
12 inches in a foot. so divide 72 by 12 to get 5 feet
This is the theory of algebra, to simply the expression we proceed as follows;
[sqrt(x-2)+5/sqrt(x-2)]/(x-2)
simplifying the numerator we get:
sqrt(x-2)+5/sqrt(x-2)
=[x-2+5]/sqrt(x-2)
=(x+3)/sqrt(x-2)
therefore our entire expression will be:
[(x+3)/sqrt(x-2)]/(x-2)
[(x+3)/(x-2)^(1/2)]*1/(x-2)
applying the law if indices we get
=(x+3)/(x-2)^(3/2)
Answer:
Step-by-step explanation:
First choose two points on the line,
Let the points are A and B.
From point A to B we are moving downwards by (5 - 1 = 4 units)
Therefore, Rise = -4
Horizontal distance between A and B = 2 units
Therefore, Run = 2
Since, slope of a line = 
Slope = 
= -2
B) -8 + (-12)
Because you just have to use the distributive property and distribute -1 to (8+12)