Volume of cylinder= pi x (radius)2 x height
= 3.14 x (2)2 x 5
=62.8 cubic cm
Answer:
For k = 6 or k = -6, the equation will have exactly one solution.
Step-by-step explanation:
Given a second order polynomial expressed by the following equation:
.
This polynomial has roots
such that
, given by the following formulas:



If
, the equation has only one solution.
In this problem, we have that:

So




We will only have one solution if
. So





For k = 6 or k = -6, the equation will have exactly one solution.
Answer:
Brooke
Step-by-step explanation:
We can solve this by figuring out how far each person runs a second
Stephanie runs 12 feet a second so nothing needs to be done here
Liz runs 306 feet in 38 seconds. To solve for the distance ran in 1 second we can divide (306/38)= around 8 feet
Will runes 1 mile in 491 seconds. A quick search will tell use that 1 mile is equal to 5280 feet and 5280/491 = 10.75
Brooke runs 851 feet in 1 minute or 60 seconds. 851/60 =14.18
Brooke obviously runs the furthest in one second and therefore she's the fastest runner
Answer:
y = 10x + 100
Step-by-step explanation:
Given the information:
She earns the same amount per hour as she did in her old job $ 100 sign-on bonus
=> the equation for line p in the form y= mx where:
- x is the number of hour she worked
=> the equation for line q in the form y= mx + 100 ($ 100 sign-on bonus )
From that, we see that the two equations have the same slope or you can use a transformation to map line p onto line q
We can create two points (0, 0) and (2, 20) are on line p
<=> m =
The equation for line p is y = 10x
=>The equation for line q should include the hourly earnings at the
new job plus the sign-on bonus. The equation is y = 10x + 100
Hope it will find you well.