Answer: x = the quantity of 5 plus or minus the square root of 29 all over 2
Step-by-step explanation:
The given quadratic equation is expressed as
x² - 5x - 1 = 0
The equation is already in the standard form of ax² + bx + c
The general formula for solving quadratic equations is expressed as
x = [- b ± √(b² - 4ac)]/2a
From the given quadratic equation,
a = 1
b = - 5
c = - 1
Therefore,
x = [- - 5 ± √(- 5² - 4 × 1 × - 1)]/2 × 1
x = [5 ± √(25- - 4)]/2
x = [5 ± √29]/ 2
x = ( 5 + √29)/- 2 or x = (5 - √29)/2
I'll help you with #7, and hopefully then you will be able to do #8 on your own. the formula for the volume of a pyramid and cone is the area of the base times the height of the figure divided by three. knowing this, we must first find the area of the base. since it is a square, we need to multiply the length times the width. (6 • 6 = 36) then you multiply that times the height of the figure (36 • 4 = 144) finally, we need to divide that by three (144 divide by three is 48.) so the answer is b. hope this helped :$
Answer:
y=1/3
Step-by-step explanation:
3y+1=0
3y=-1
3y/3=-1/3
y=-1/3
11, 13, 15 Rule: Add 2 or +2
1/6, 1/7, 1/8 Rule: Add