Q 1.
integers are 11, -4 and 73.
Q 2
5 is an integer and a natural number
Q 3
{9 , 1, 13} Set M
Answer:
no
Step-by-step explanation:
A circle will fail the vertical line test, which means a vertical lines intersects two or more points. If it fails the vertical line test, it is not a function
using the ratio, the length of the sides are:
25x + 14x + 12x = 170
51x = 170
x = 170 / 51
x = 3 1/3
The lengths of the sides are: 25 * 3 1/3 = 83 1/3 feet
14 x 3 1/3 = 46 2/3 feet
12 x 3 1/3 = 40 feet
Using Heron's formula
the semi perimeter (S) = 170/2 = 85 ft.
The area of the triangle = SQRT(S*(S-83 1/3) * (S - 46 2/3) * (S-40))
= SQRT (85 * (85-83 1/3) * (85 - 46 2/3) * (85-40)
= SQRT (85 * 1 2/3 * 38 1/3 * 45)
= SQRT(244374)
= 494.34 square feet ( round answer as needed).
The domain of f(s) = 8s + 15 is all real values.
Let the number of Matinee tickets be x
Let the number of evening tickets be y
Number of sold tickets = 63, this means that: x+y = 63 ......> equation I
Price of matinee ticket = 10 and price of evening tickets = 14
Total money collected = 742, this means that 10x + 14y = 742 .....> equation II
From equation I: x = 63 - y .........> equation III
Substitute by equation III in equation II:
10(63-y) + 14y = 742
630 - 10y + 14y = 742
4y = 742 - 630 = 112
y = 112/4 = 28
Substitute by the value of y is equation III:
x = 63-28 = 35
Based on the above calculations:
number of matinee tickets = x = 35 tickets
number of evening tickets = y = 28 tickets
