2x + 3y = -1.....(5)
5x + 8y = 0.....(-2)
-----------------------
10x + 15y = -5
-10x - 16y = 0
-----------------------add
-y = -5
y = 5 <=====this is where Janet messed up
2x + 3y = -1
2x + 3(5) = -1
2x + 15 = -1
2x = -1-15
2x = -16
x = -16/2
x = - 8
solution is : (-8,5)
Vertex = -b/2a = -(44)/2(-1) = -44/-2 = 22
To find the x-intercepts, set the function equal to 0 and solve for x
Answer:

Step-by-step explanation:
<u>Trigonometric Functions</u>
The trigonometric functions have a cyclic behavior, which means they perform a full cycle and then do it all again in their whole domain. If we know that
sinx=0
we can use the inverse sine function to know the values of x. In this case, all angles whose sine is 0.
X=0 is the trivial solution, but given the repetitive nature of the sine, we know the next cycle will repeat the same value. Each cycle occurs every
units of x, so the solution is

being k any integer number, positive or negative
The height of the tip of the blade (in feet) of our windmill has a motion described by the equation

Let's start one cycle by setting x=0, so the initial value of h is

The very next cycle will be when h=18 again

Or
sinx=0
Which next solution is

So, it will take to make a full rotation for one blade a time of

Answer:
So the rectangle's width = 8 m
Step-by-step explanation:
Given:
Length = 14 m
Perimeter= 44 m
To Find:
Width = ?
Solution:
We are given the length and perimeter of a rectangle and have to find the value of width. This we can find by the formula of perimeter of rectangle
So the formula for it is
Perimeter = 2( length + width)
Putting the values
44 = 2(14+width)
it becomes
44 = 28 + 2*width
subtracting 28 from both sides
44-28 = 28 -28 + 2*width
16 = 2*width
Dividing both sides by 2
16/2 = width
8 = width
or
width = 8 m