Start learning 50% faster. Sign in now
Let the monthly income of A and B be 300 and 500 and the savings be 2x and 3x respectively ⇒ 500 = 3 × 2x ⇒ 500 = 6x ⇒ x = 250/3 Expenditure of A = Income of A – Savings of A ⇒ 300 – 2 × (250/3) ⇒ (900 – 500)/3 ⇒ 400/3 Expenditure of B = Income of B – Savings of B ⇒ 500 – 3 × (250/3) ⇒ 500 – 250 ⇒ 250 Ratio of expenditure of A and B = (400/3)/250 ⇒ 400/750 ⇒ 8/15 ∴ The ratio of the expenditures of A and B is 8 ∶ 15
Find the coordinates of the centroid of the triangle with vertices A(1, 2), B(4, 6), and C(7, 8).
A line passes through the point (4, 3) and is perpendicular to the line 3x + 4y = 12. Find the equation of the new line.
Solve: ∫[2x/(x4+1)] dx
The minute hand of a watch is 2 cm long. How far does its tip move in 45 minutes? (use π = 3.14)
Find the area of the triangle formed by the points A(2, 3), B(-1, -4), and C(5, -2).
Find the Perpendicular distance between two lines
6x + 8y = 18, 12x + 16y =20
Find the equation of the line passing through the points (1, 2) and (3, 8).
The slope of the equation 24x+8y=56 is