Answer:
y² - (K- 2)y + 2k +1 = 0
equal roots means D=0
D= b^2 - 4ac
a=1, b= (k-2), c= 2k+1
so,
(k-2)^2 - 4(1)(2k+1) = 0
=> k^2 +4 - 8k -4 = 0
=> k^2 -8k = 0
=> k^2 = 8k
=> k= 8k/k
=> k = 8
Therefore the answer is k= 8
Hope it helps........
1) Determine the horizontal force, Fx, exerted by the block on Usain
cos(20°) = Fx / F => Fx = F*cos(20) = 1700N*cos(20) = 1597.48 N
2) Determine the Impulse of that force on Usain.
I = F*t = 1597.48N * 0.32s = 511.19 N*s
3) Determine change in momentum of Usain, Δp
Δp = I = 511.19 N*s
4) Find change if velocity
Δp = Δ(mV) = mΔV => ΔV = Δp / m = 511.19 N*s / 86 kg = 5.94 m/s
Given the Usain started from rest, the velocity is ΔV - 0 = 5.94 m/s
Answer: 5.94 m/s
<15> and <10> add first 25 <25> and 5 add second 30 <30> and 7 add third 37 <37> and 6 <6> now add that an u get <43> thats ur answer :)
Answer:
28
Step-by-step explanation:
Question Image is attached.
Triangle BED and Triangle CFD are similar.
We can let the length of BD be 5x and DC 7x
We also know BC = 48, thus we can write:
5x + 7x = 48
12x = 48
x = 4
Now, Since DC = 7x, we plug in x = 4 into it.
DC = 7x
DC = 7(4)
DC = 28
Length of DC is 28
If a bagel costs $0.80 any day, then the unit price
is $0.80 per bagel.
If the unit price of a bagel is $0.80 , then every bagel
you buy costs $0.80 .
Only one thing changes: The price of a dozen on Wednesday.
If you buy 1 dozen ... or any number of dozens ... on Wednesday,
then the unit price of the contents of that bag is
($6.00) / (1 dozen) = $6.00 per dozen
If you want to convert that to a
different unit of measure, then
you do it like this:
(6.00 $/dozen) x (1 dozen/12 bagels)
= (6.00 x 1 / 12) ($/bagel)
= 0.5 $/bagel
or $0.50 / bagel .
