Answer:
5 logbc
Step-by-step explanation:add them up
Answer:
1. translated 35 units to the right and 10 units upwards- y= square root of x
2. translated 5 units to the right and 2 units up- y= x squared
2. translated 4 units to the left and 3 units down- y= absolute value of x
Step-by-step explanation:
The slope is
(difference in y-values) / (difference in x-values)
= (-4) / (-5)
= 0.8
Answer:
Let coordinates of vertex D be (x,y)
In parallelogram diagonals are bisect each other.
∴ Mid-point of AC= Mid-point of BD
⇒ (
2
3+(−6)
,
2
−4+2
)=(
2
−1+x
,
2
−3+y
)
⇒ (
2
−3
,
2
−2
)=(
2
−1+x
,
2
−3+y
)
⇒ (
2
−3
,−1)=(
2
−1+x
,
2
−3+y
)
Now,
⇒
2
−3
=
2
−1+x
⇒ −6=−2+2x
⇒ −4=2x
∴ x=−2
⇒ −1=
2
−3+y
⇒ −2=−3+y
⇒ 1=y
∴ y=1
∴ Coordinates of vertex D is (−2,1)
Answer:
600 seats
Step-by-step explanation:
We know there is 120 seats on a balcony and that is 
of the total seats, we want to find the total number of seats so,
120 seats =
We know that a whole fraction sums to 1 so for example 
120 seats =
Multiply both sides to make it a whole fraction
600 seats = 
So if there is 120 seats and that number is only of the total number of seats then the total number of seats is 600
