Answer:
Step-by-step explanation:
x² + 4x - 1 - x =x² + 4x -x - 1 { bring the like terms together and add}
= x² + 3x - 1
Answer: 59
Step-by-step explanation:
Simplifying
18x + -44 = 13y + -38
Reorder the terms:
-44 + 18x = 13y + -38
Reorder the terms:
-44 + 18x = -38 + 13y
Solving
-44 + 18x = -38 + 13y
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '44' to each side of the equation.
-44 + 44 + 18x = -38 + 44 + 13y
Combine like terms: -44 + 44 = 0
0 + 18x = -38 + 44 + 13y
18x = -38 + 44 + 13y
Combine like terms: -38 + 44 = 6
18x = 6 + 13y
Divide each side by '18'.
x = 0.3333333333 + 0.7222222222y
Simplifying
x = 0.3333333333 + 0.7222222222y
Answer:
x = 20
Step-by-step explanation:
The 3 arcs UV, VW, WX form a semicircle, so sum to 180° , that is
4x + 2 + x + 78 = 180
5x + 80 = 180 ( subtract 80 from both sides )
5x = 100 ( divide both sides by 5 )
x = 20
Answer:
b = 8 in
Step-by-step explanation:
The area (A) of a triangle is calculated as
A = 
bh ( b is the base and h the perpendicular height )
Here A = 12 and h = 3 , then
b × 3 = 12 , that is
1.5b = 12 ( divide both sides by 1.5 )
b = 8
