Answer:
The right option is (C) (58 + 32)×4
Step-by-step explanation:
Total number of rooms = 4
Number of seats on left = 58 seats in each room
Number of seats on right = 32 seats in each room
Total number of seats in a room = 58 + 32 seats
Total number of seats in the movie theater = Number of rooms × Number of seats in each room
Total number of seats in the movie theater = 4 × (58 + 32) = 360 seats
Hence the right option is (C) (58 + 32)×4
Answer:
2. 
Step-by-step explanation:
We have been given an expression 
and we are asked to find equivalent expression to our given expression.
Using fraction rule 
we can write our expression as: 
.
Upon dividing 10 by 5 we will get,
Upon using exponent property for quotient 
we will get,
Therefore, our expression simplifies as and 2nd option is the correct choice.
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: it is A
Step-by-step explanation:
x^2+2x-48=0
x^2+8x-6x-48=0
x×(x+8)-6(x+8)=0
(x+8)×(x-6)=0
x+8=0
x-6=0
x=-8
x=6
DF=14. Because DE is half the line and EF is the other half the line you add up both the lengths to get the length of whole line.
DE=EF. DE and EF both equal 7 so they are equal.
