Answer:
Option C
Step-by-step explanation:
Given function is,
f(x) = 9x² - 12
Steps to find the inverse of the given function,
Step 1,
Write the function in the form of an equation,
y = 9x² - 12
Step 2,
Interchange variables 'x' and 'y' in the equation,
x = 9y² - 12
Step 3,
Solve this equation for 'y',
x = 9y² - 12
9y² = x + 12
Here, x > -12
Step 4,
Covert this equation into function,
Therefore, Option C will be the answer.
An irrational number is one that cannot be shown as ratio of two integers, an 3.14=314/100 so that means pi is irrational. Another thing to note is that pi is transcendental which means it is not the root of any algebraic equation.
Answer: Hi!
First, UxV = sin(a)*IUI*IVI
where a is the angle between U and V, in this case 45°.
First, the cross product of UxV points:
Here you can use the right hand method,
Put your hand flat, so the point of your fingers point in the same direction that the first vector, in this case U, so your fingers will point to the north.
Now roll your fingers in the direction of the second vector, so here you will roll your fingers in the northeast direction. Now you will see that your thumb is pointing down, so the cross product of UxV points down.
And the magnitude is 6*5*sin(45) = 21.213
Answer:
120°
Step-by-step explanation:
A sector of a circle is the portion or region of a circle enclosed by two radii and an arc. The perimeter of a the sector of a circle is given by the formula:
Perimeter of sector = + 2r
Where θ is the angle which forms the sector and r is the radius of the circle.
Given that Perimeter of sector = 57.32 cm, radius (r) = 14 cm, we can find the angle θ using:
Perimeter of sector = + 2r
Answer:
k = 6
Step-by-step explanation:
According to factor/remainder theorem, we will take the value of x which makes 3x-5 equal to 0 and put it into the polynomial and equate it to the remainder.
3x - 5 = 0
3x = 5
x = 5/3
Putting into polynomial:
The value of k is 6