Answer:
Step-by-step explanation:
<u>Solving Equations</u>
We have the expression:
And it's required to make y the subject.
It can be done by isolating y on the left side of the equation and the rest of the expression on the right side.
The first step is removing the denominator by multiplying both sides by y-3:
Simplifying the right side:
Remove the parentheses:
Move the y's to the left side and the rest of the expression to the right side:
Factor out y:
Divide by x-1:
Answer:
Step-by-step explanation:
tanx=27/38
take the inverse...
tan^-1(27/38)
≈35.4 degrees
Answer:
7 : 1
Step-by-step explanation:
Paul's car goes 40 kilometers on 7 tanks.
Distance : Tanks
49 : 7
Fuel efficiency means the distance traveled by the car in one tank.
Therefore, we will reduce the ratio by dividing both sides by 7.
Distance : Tanks
: 
7 : 1
Therefore, car's fuel efficiency is 7 kilometers in one tank or the ratio between Distance traveled and fuel tanks is 7 : 1.
Answer: 810
<u>Step-by-step explanation:</u>
There are 10 numbers to choose from. Since the 2nd digit and 3rd digit cannot repeat the number before it, they only have 9 numbers to choose from.
1st digit and 2nd digit and 3rd digit
10 choices x 9 choices x 9 choices = 810
Rotating Q 180 degrees using the center P has the same effect as reflecting Q over the Line M
Step-by-step explanation:
Rotating Q 180 degrees using the center P has the same effect as reflecting Q over the Line M and this is because Lines L and M are perpendicular lines ( i.e. lines that meet a right angle ( 90° ).
Hence rotating Q 180 degrees form the center will be similar to reflecting Q over any of the perpendicular lines
