Answer:
11. x = 6; y = 6.5
12. x = 2; y = 4
Step-by-step explanation:
In each figure, the hash marks on the lines indicate the parallel lines (marked with red arrows) are equally-spaced. That means the two expressions involving x are equal to each other, and the two expressions involving y are equal to each other.
__
11. 2x +1 = x +7
x = 6 . . . . . . . subtract (x+1) from both sides
and
3y -8 = y +5
2y = 13 . . . . add (8-y) to both sides
y = 6.5 . . . . divide by the coefficient of y
__
12. x +3 = 3/2x +2
1 = 1/2x . . . . . subtract (x+2)
2 = x . . . . . . . multiply by 2
and
2y -1 = 3y -5
4 = y . . . . . . add (5 -2y)
Answer:
answer a because -15/8 is -1.875
Considering the period of the cosine function, it is found that it takes 40 seconds for the wheel to complete one turn.
<h3>What is the period of the cosine function?</h3>
The cosine function is defined by:
f(x) = acos(bx + c) + d.
For the period, we have to look at coefficient b, and the period is:
P = 2π/|B|
For this problem, the function is given by:
h(x) = 15 cos(π/20)
Hence B = π/20, and the period is:
P = 2π/|B| = 2π/(π/20) = 2 x 20 = 40 seconds.
Hence it takes 40 seconds for the wheel to complete one turn.
More can be learned about the period of trigonometric functions at brainly.com/question/12502943
#SPJ1
Answer:
Hey
Step-by-step explanation:
Sorry I need the points asap
Answer:
x= -2, y = 5
Step-by-step explanation:
y = -4x-3
y = -2x+1
Set the two equations equal to each other
-4x-3 = -2x+1
Add 4x to each side
-4x-3 +4x = -2x+1+4x
-3 = 2x+1
Subtract 1 from each side
-3-1 = 2x+1-1
-4 =2x
Divide by 2
-4/2 = 2x/2
-2 =x
Now find y
y = -4x-3
y = -4(-2) -3
y = 8 -3
y =5
