Answer:
Option A. 
Step-by-step explanation:
we know that
The area of the irregular figure is equal to the area of two trapezoids
The area of trapezoid is equal to

where
b1,b2 are the parallel bases
h is the perpendicular distance between the parallel bases
<u>Find the left trapezoid area</u>

<u>Find the trapezoid area on the right</u>

The area of the irregular figure is

Answer:
Explanation:
7. f(x) = x^4 + 3x^3 - 6x^2 - 10x + 8
f(2) = 2^4 + 2^3 - 6^2 - 10(2) + 8
f(2) = 16 + 8 - 12 - 20 + 8
f(2) = 0
8. x^2 - 9 = (x - 3)(x + 3)
x ^2 + x - 6 = (x + 3)(x -2)
Thus, the common factor is x + 3
Answer:
6x^2 − 10x − 24
Step-by-step explanation:
2(3x + 4)(x - 3)
(6x + 8)( x − 3)
6x^2 − 18x + 8x − 24
6x^2 − 10x − 24
Answer:
Step-by-step explanation:
The difference is a2 - a1 = 31 - 24 = 7
n = 500
a500 = a1 + (500 - 1) * 7
a500 = 24 + 499 * 7
a500 = 24 + 3493
a500 = 3517
Answer:
The number of boys who play tennis is 36.
Step-by-step explanation:
Let the number of boys who play tennis is x.
number of boys who play cricket = y
x = 3 y..... (1)
12 boys plays both cricket and tennis.
According to the question,
x - 12 = y + 1 2
3 y - 12 = y + 12
2 y = 24
y = 12
So, the number of boys who plays tennis is x = 3 x 12 = 36.