a²b⁴ - b²a⁴ can be factored as a²b²(b² - a²) which becomes a²b²(b + a)(b - a). Since the numerator and denominator both have (a + b) and ab the final answer is ab(b - a) = ab² - a²b.

7 0

4 years ago

Reiko started a business selling home medical supplies. She spent $6500 to obtain her merchandise, and it costs her $550 per wee

Vinvika [58]

900x is greater than or equal to 550x+6500. In this equation, I used x to represent the number of weeks, 900x to represent her profits, and 550x+6500 to represent her costs. Then, since 19 is the lowest integer that we can plug into the equation to keep the inequality true, it is our answer, 19 weeks.

7 0

4 years ago

Read 2 more answers

Two right triangles are graphed on a coordinate plane. One triangle has a vertical side of 2 and a horizontal side of 6. The oth

Vikki [24]

Consider two right triangles:

1. ΔABC with vertices A(0,0), B(0,2), C(6,0). Then AB is perpendicular to AC and AB=2 units (vertical leg), AC=6 units (horizontal leg).

2. ΔXYZ with vertices X(6,-10), Y(6,0), Z(36,-10). Then XY is perpendicular to XZ and XY=10 units (vrrtical leg), XZ=30 units (horizontal leg).

The equation of the line BC is

$\dfrac{x-0}{6-0}=\dfrac{y-2}{0-2},\\ \\-x=3y-6,\\ \\x+3y-6=0.$