Answer:
4/13
Step-by-step explanation:
-6/5x - 6 + 2=4x - 28/5
-6/5x - 4=4x - 28/5
-6/5x - 4x= -28/5 + 4 (multiply each side by 5)
-6x - 20x= -28+20
-26x= -8 (divide each side by 26)
-x= -8/26 (multiply each side by -1)
x= 8/26 (reduce)
x= 4/13
Answer:
C x = (-5+sqrt(-3))/2
D x = ( -5-sqrt(-3))/2
Step-by-step explanation:
Set the polynomial equal to zero
x^2 + 5x+7 =0
Subtract 7 from each side
x^2 + 5x+7-7 =-7
x^2 + 5x = -7
Complete the square by taking the coefficient of x and dividing by 2 and then squaring it
(5/2)^2 = 25/4
x^2 + 5x + 25/4 = -7+25/4
(x+5/2)^2 = -28/4 +25/4
(x+5/2)^2 = -3/4
Take the square root of each side
x+5/2 = ±sqrt(-3/4)
Subtract 5/2 from each side
x+5/2 -5/2 = -5/2±sqrt(-3/4)
x = -5/2±sqrt(-3/4)
x = -5/2±sqrt(-3)/2
x = (-5±sqrt(-3))/2
Answer:
Step-by-step explanation:
Let
x = the amount of time William has been digging
y = the amount he has left to dig
The hole has to be in 2 ft deep. This means when William starts, the hole was 0 feet deep and has left 2 ft to dig. Hence, y-intercept is
He is able to dig at a rate of ft per minute. Thus, the slope is (negative because the depth left to dig is decreasing).
The slope-intercept form of the equation is so in your case this equation is
Answer:
24
6
1/12
Step-by-step explanation:
a) This is a counting problem 4*3*2*1 = 24 different ways.
b) 1 * 2 * 1 * 1 = 2 ways
This is one you should try.
Jim Kat Larry Kim
Jim Larry Kat Kim
You can't get another way.
c)
There are 2 ways that Jim can arrive first and Kim Last shown in b
2/24 = 1/12
Answer:
18.84 mm
Step-by-step explanation:
Circumference = 2πr
=> 2 x 3.14 x 3
=> 18.84 mm