Answer:
Step-by-step explanation:
we are given that
we want to figure out x
remember that,
In <u>unit</u><u> </u><u>circle</u> x coordinate is considered cos and y coordinate is considered sin
so in order to figure out x we should figure out the value of <u>cos</u> to do we can consider <u>Pythagoras</u><u> trig</u><u> </u><u>indentity</u>
given by
we are given sin=-√7/4 thus
substitute:
simplify square:
move left hand side expression to right hand side and change its sign:
simplify Substraction:
square root both sides:
since in unit circle cos is x and P belongs to Q:IV negative cos isn't applicable
hence,
The vertex is when x=-b/2a, which is also the line of symmetry.
in this case, b=6, a=3, so x=-6/6=-1
when x=-1. y=3-6-1=-4
another way to do it is to write the equation into vertex form by making a square:
3x²+6x-1
3(x²+2x-1/3)
3(x²+2x+1-1-1/3))
3(x²+2x+1-4/3))
notice the bold part makes a square:
3(x+1)²-4
Either way,
the vertex is (-1, -4)
the axis of symmetry is x=-1
the coefficient of x² is 3, a positive number, so this parabola opens upward. the function has a minimum value of y=-4
the range is all real number larger than -4
Answer:
Can't read the picture. Please take a bigger picture of the triangle.
Answer:
$ 3780 will be commission
Step-by-step explanation:
as the commission is 9 % of the total amount of property sold
property sold for = 42000 $
9 % of the total property= 0.09 x 42000
= 3780 $
Using the Pythagorean theorem:
Hypotenuse = sqrt( 20^2 + 15^2)
Hypotenuse = sqrt( 400 + 225)
Hypotenuse = sqrt(625)
Hypotenuse = 25
Answer: 25 inches
