Need the graph to answer first and third parts.....
Triangle side rule says the third side must be less than the sum of the other two sides
33 + 42 = 75 so side three must be < 75 side three = 74 ( integer length)
74 + 33 + 42 = peimeter
See below:
Multiplying a polynomial by a constant does not change the degree f+ ag will be 6th degree
You can use the Law of Sines to find the other two side lengths ....then use Heron's Formula to calc the area
First , find f(4) then substitute THAT value into the g(x) formula ....
x^2 + 8x + y^2 + 6 y = - c complete the square for x and y
(x+4)^2 + (y+3)^2 = 16 + 9 - c red part = radius ^2
25 - c = 3^2
- c = -16
c = 16
pi d = 6
d = 6/pi
pi r^2 h = 27/2
pi ( 3/pi)^2 h = 27/2
h = 4.71
Angle A = 51.7575
Angle B = 128.242 sin = .78539
a1 = (2(1))+1 = 3
a10 = 2(10)+ 1 = 21
sum = n/2 ( a1 + a10) = 10/2(3 +21) = 5 * 24 = 120
Sum of the 52 entries in the series is 52/2 ( 2 + 104) = 2756 2756 mod 7 = 5
