Answer:
x = 1, y = -4
Step-by-step explanation:
set each equation equal:
-7x + 3 = -x - 3
-6x + 3 = -3
-6x = -6
x = 1
y = -7 + 3
y = -4
Answer:
C = 125
Step-by-step explanation:
Since a straight line is 180 degrees. We can conclude that:
10x + 15 + 5x = 180
And that:
C = 10x + 15
First we need to find the value of x to find C. So,
10x + 15 + 5x = 180
15x + 15 = 180
- 15 -15
15x = 165
15x/15 = 165/15
x = 11
So now, we need to substitute the values of x into C and solve it.
C = 10(11) + 15
= 110 + 15
= 125
Let n = 0, 1, 2, 3, 4, 5, 6, 7....
When n = 0 then 0^2 + 0 = 0. n = 1 we have 1^2 + 1 = 2. And when n = 2 we have 2^2 + 2 = 6. When n= 3 we have 3^2 + 3 = 12. When n = 4 we have 4^2 + 4 = 20. When n = 5 we have 5^2 + 5 = 30. When n = 6 = 6^2 + 6 = 42. And finally when n = 7 we have 7^2 + 7 = 56. So at n = 1, 2, ...7, ... Our values are = 2, 6, 12, 20, 30, 42, and 56. It is obvious that n is always an even number. Hence n^2 + n is always an even integer for all positive integers.
When n = -1 we have (-1)^2 - 1 = 0 when n = -2 we have (-2)^2 -2 = 2. When n = -3 we have (-3)^2 - 3 = 6. When n = -4 we have (-4)^2 - 4 = 16 - 4 =12. When n =-5 we have (-5)^2 -5 = 20. When n = -6 we have (-6)^2 - 6 = 30. When n = (-7)^2 - 7 = 42. Hence n^2 + n is always even for all integers
So you know that the area is (b*h)/2
A = (6,6*4,9)/2 = 32,34/2 = 16,17 cm^2