Question
The area (in sq, units) of the triangle formed by the
graphs of 8x + 3y = 24, 2x+8 = y and the x – axis is:Solution
8x + 3y = 24 and 2x + 8 = y and x-axis For base :- difference between x intercept For height :- point of intersection of two line For height = put y = 2x + 8 8x + 3(2x + 8) = 24 8x + 6x + 24 = 24 14x = 0, x = 0 Y = 2 × 0 + 8 = 8 → height Base :- x-intercept put y = 0 = 8x + 3 × 0 = 24 = [x1 = 3] = 2x + 8 = 0, x2 = -4] Difference = 3 – (- 4) = 7 Area of triangle = ½ × 7 × 8 = 28
- A school has 720 students. The ratio of boys to girls is 4:2. Among the boys, the passed to failed ratio is 9:3. Among the girls, the passed to failed rati...
- If 70% of (P - Q) is the same as 35% of 80% of (P + Q), then what is the ratio of Q to P?
- The number of small to large packets in a store is in the ratio 3:4. If 18 more packets of each type are added, the ratio changes to 9:11. Find the origina...
- Ravi divided 312 candies among his cousins Ayan, Rishi, and Mehul in the ratio 3:6:7 respectively. What is the difference between the candies received by M...
The ratio of the number of cars and bikes in a showroom is 8:7, respectively. If 25% of cars are electric and 60% of bikes are sports bikes, find the ra...
A boy is supposed to distribute Rs.4400 among his three friends P, Q and R in the ratio of 4:2:5 respectively, but mistakenly he distributed in the rati...
- Determine the fourth proportion for 20, 25, and 40.
In a transport yard, 70% of the vehicles are two-wheelers and the rest are four-wheelers. Find the ratio of the number of wheels of two-wheelers to that...
Three warehouses store goods in the ratio 7:5:6. When 10 more units are added to each, the ratio becomes 9:7:8. What was the original total quantity of ...
The ratio of the number of boys to the number of girls in a school of 640 students, is 5 : 3. If 30 more girls are admitted in the school, then how many...
