Answer:
k=2
Problem:
if the equation x^2 +(k+2)x+2k=0 has equal roots,then the value of k is ..
Step-by-step explanation:
Since the coefficient of x^2 is 1, we can use this identity to aid us: x^2+bx+(b/2)^2=(x+b/2)^2.
So we want the following:
[(k+2)/2]^2=2k
Apply the power on the left:
(k+2)^2/4=2k
Multiply both sides by 4:
(k+2)^2=8k
Expand left side:
k^2+4k+4=8k *I used identity (x+c)^2=x^2+2xc+c^2
Subtract 8k on both sides:
k^2-4k+4=0
Factor using the identity mentioned a couple lines above:
(k-2)^2=0
Since zero squared is zero, we want k-2=0.
Adding both sides by 2 gives k=2.
Answer:
LA = 8
Step-by-step explanation:
Since ∆FIM ~ ∆LAK, therefore, the ratio of their corresponding sides are equal.
Thus:
FI/LA = FM/LK
FI = 4
LA = ?
FM = 6
LK = 12
Plug in the values
4/LA = 6/12
4/LA = 1/2
Cross multiply
LA*1 = 2*4
LA = 8
Answer:
4
Step-by-step explanation:
Hope this help
Answer:
There are 9 quarters and 3 nickels
Step-by-step explanation:
problems used: 0.5x+0.25y=3.09
x=y+6
so substitute what x is equal to into the problem
0.5(y+6)+0.25y=3.09 <--------- distribute
0.5y+3+0.25y=3.09 <--------- Combine like terms
0.3y+3=3.09 <----------- Subtract 3 on both sided to get y by itself
0.3y=0.9 <------------ Divide by 0.3 on both sides to get what y is equal to
y=3 <-------- now substitute to find what x is equal to
x=3+6
x=9
Answer:
1. Circumference because the other two aren’t the correct answers and don’t sound like the correct answers.
2. 35 is the radius for the blue car
3. 20.1 is the radius for the green car
4. The difference between both cars radii is that one has a larger radius than the other
Step-by-step explanation:
Hope This Helps!
