(2/3x + 2 - 1/6x + 4) • 1/5 ÷ 1/5
(1/2x + 6) • 1
1/2x + 6
Answer:
a. 15/2 or 7.5 sqcm
b. 20 sqcm
Step-by-step explanation:
Area of a triangle is (base × height)/2.
A = (5×3)/2
A = 15/2 = 7.5cm^2
The area of a parallelogram is just base × height, but yoy have to choose wisely what is the base and height. These two measurements must be perpendicular. So the 4 and 5 are perpendicular. We won't use the measurement 6cm at all.
Area = 4×5
Area = 20 sqcm
Here is the problem.....√(15x + 10) = 2x+3
to remove the square root, we do the opposite which is to square everything.
(√(15x + 10))² = (2x + 3)² (the square negates the square root)
15x + 10 = (2x +3)(2x + 3) (use the distributive property to continue)
15x + 10 = 4x² + 6x + 6x + 9 (combine like terms)
15x + 10 = 4x² + 12x + 9 (subtract 15x and 10 from each side)
-15x - 10 -15x - 10
0 = 4x² - 3x - 1 (factor completely)
(x - 1) (4x + 1) (set each to equal 0)
x - 1 = 0 4x + 1 = 0
x = 1 4x = -1
x = -1/4
place both into the equation to check for reasonableness...we see the negative number is not reasonable, but the x value of 1 is a solution.
answer is 1
