6 repeating so the answer would be 31.666666..... or round it up 31.666666667
Answer:
Part A: one solution:
Part B: x = 3, y = 4.
Explanation:
1) Part A: how many solutions does the pair of equations for lines A and B have?
The solution of a system of equations in a graph is given by the intersetion of the curves that represent the equations.
In this case, there are two straight lines, which intersect in one and only one point.
Hence, the system has one solution.
2) Part B: what is the solution to the equations of lines A and B?
The solution is the pair of coordinates of the intersection point. It is (3, 4).
Therefore, the solution is x = 3, y = 4.
let the numbers are x , x+1 ,x+2
∴ 6 [ x + (x+1) +(x+2) ] = 162
∴ x + (x+1) + (x+2) = 162/6 = 27
∴3x + 3 = 27
∴ 3x = 27 - 3 = 24
∴ x = 24/3 = 8
<u>So, the numbers are 8 , 9 , 10</u>
Answer:
k=2 k=-8
Step-by-step explanation:
Answer: 0
Explanation:
1) Cosine trigonometric ratio definition:
cos (α) = adjacent-leg / hypotenuse
2) P (0,1) ⇒
- adyacent-leg = x-coordinate = 0
- opposite-leg = y-coordinate = 1
- hypotenuse = √[x² + y² ] = 1
3) Therefore, cos(α) = 0 / 1 = 0
