Answer:
Distance = 70 + 55 = 125 kilometers
Time = 4 + 3 = 7 hours
Rate = Distance / Time
Rate = 125 / 7 = 17.8571428571 kilometers per hour
Step-by-step explanation:
Answer:
25 inches
Step-by-step explanation:
i first started with 18×8=144 then i did 144-119 and got 25.
Answer:
The next two terms after a1 is
-6 and then 18
Step-by-step explanation:
Geometric sequence means your pattern for the terms is multiplication by the same number.
So a1 is the first term and r is your common ratio.
The common ratio is what you are multiplying by each time to figure out the next term.
So the geometric sequence goes like this:
a1 , a1*r , (a1*r)*r or a1*r^2 , a1*r^3 ,....
So anyways you have
first term a1=2
second term a2=2(-3)=-6
third term a3=-6(-3)=18
And so on...
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:
3x squared + 2x as you multiply everything in the bracket by what's on the outside of the bracket so it would be 3x multiply by x which equals 3x squared and 2 multiply x which equals 2x
