The answer for this question is (100% correct)
A. 2
To do this, divide each term in the parenthesis with 5b. When you divide exponents with the same base, just take their difference:
(5/5)ab^(1-1) - (10/5)b^(2-1) + (15/5)b^(1-1)c
ab^0 - 2b + 3b^0c
a - 2b +3c
I hope I was able to give a good explanation. Have a good day.
Answer:
The roots are;
x = (2 + i)/5 or (2-i)/5
where the term i is the complex number representing the square root of -1
Step-by-step explanation:
Here, we want to use the completing the square method to solve the quadratic equation;
f(x) = -5x^2 + 4x -1
Set the function to zero
0 = -5x^2 + 4x - 1
So;
-5x^2 + 4x = 1
divide through by the coefficient of x which is -5
x^2 - 4/5x = -1/5
We now take half of the coefficient of x and square it
= -2/5^2 = 4/25
add it to both sides
x^2 - 4x/5 + 4/25= -1/5 + 4/25
(x- 2/5)^2 = -1/5 + 4/25
(x - 2/5)^2 = -1/25
Take the square root of both sides
x - 2/5 = √( -1/25
x - 2/5 = +i/5 or -i/5
x = 2/5 + i/5 or 2/5 - i/5
Answer:
38.25 cm²
Step-by-step explanation:
We use the formula for the length of an arc to find the central angle of the sector of the circle.
Then we use the formula for the area of a sector of a circle to find the area.
Length of arc of circle of radius r:
s = arc length
n = measure of the central angle of the sector
Area of sector of circle of radius r:
A = area of sector of circle
n = measure of the central angle of the sector
