full timers work 5 hours a day whereas Part timers work 3 hours a day!
<u>Step-by-step explanation:</u>
Here we have , The difference in hours between full times and the part timers to work three hours a day is 2 working hours . We need to find that how many hours per day to full timers work . Let's find out:
Let full timers work x hours , Part time workers work 3 hours a day , According to question, difference in hours between full times and the part timers to work three hours a day is 2 working hours i.e.
⇒ 
Adding 3 to make x term alone :
⇒ 
⇒ 
Therefore, full timers work 5 hours a day whereas Part timers work 3 hours a day!
The 2 lines are parallel, so the 2 sides(e.g. 1 and 2/ 3 and 49) add up = 180 and In this case the 2 sides are equal as u can see from the original diagram so the angle of 2 is 180-49=131.
Since that angle all together is 180, 100 is 2z-10 and z is 55
Answer:
B. $3.45
Step-by-step explanation:
Number of cases of soda bought = 12
Total bill payed = $41.40
Let x represent the cost of 1 case.
Thus:
12x = $41.40
Divide both sides by 12
12x/12 = 41.40/12
x = 3.45
Cost of each case = x = $3.45
Answer: (x-2)^2+(y+3)^2 = 9Side notes
1) This circle has a center of (2,-3)
2) The radius of this circle is 3
3) The graph is shown in the attached image
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Work Shown:
x^2-4x+y^2+6y+4=0
x^2-4x+y^2+6y+4-4=0-4
x^2-4x+y^2+6y = -4
x^2-4x+4+y^2+6y = -4+4 ... see note 1 below
(x^2-4x+4)+y^2+6y = 0
(x-2)^2+y^2+6y = 0
(x-2)^2+y^2+6y+9 = 0+9 ... see note 2 below
(x-2)^2+(y^2+6y+9) = 9
(x-2)^2+(y+3)^2 = 9note 1: I'm adding 4 to both sides to complete the square for the x terms. You do this by first taking half of the x (not x^2) coefficient which in this case is -4. So take half of -4 to get -2. Then square this result to get 4
note 2: Like with note 1, I'm completing the square. What's different this time is that this is for the y terms now. The y coefficient is 6. Half of this is 3. Square 3 to get 9. So this is why we add 9 to both sides.
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So
the equation in standard form is (x-2)^2+(y+3)^2 = 9Note how
(x-2)^2+(y+3)^2 = 9
is equivalent to
(x-2)^2+(y-(-3))^2 = 3^2
So that second equation listed above is in the form (x-h)^2+(y-k)^2 = r^2
where
h = 2
k = -3
r = 3
making the center to be (h,k) = (2,-3) and the radius to be r = 3
The graph is attached.
