Answer:
230.55/8.70 = 26.5 hours (round as appropriate)
Answer & Step-by-step explanation:
If a point is reflected across the x-axis, then the points will be like this...
(x,y) → (x,-y)
If a point is reflected across the y-axis, then the points will be like this...
(x,y) → (-x,y)
So, in order to solve this problem, first we will reflect (1,2) across the x-axis and then across the y-axis.
(2,1) → (2,-1) → (-2,-1)
So, your final coordinate point will be (-2,-1).
Answer:
-51
Step-by-step explanation:
4xy + 2y^2-z
4(5)(-4) +2(-4)^2 -3
(20)(-4) + 2(-4)^2 -3
-80 +(2)(16) - 3
-80 + 32 - 3
-48-3
-51
<u>Answer:
</u>
An inlet pipe on a swimming pool can be used to fill the pool in 33 hours. Time it will take to fill the pool = 748 hrs
<u>Solution:
</u>
Let x = time it will take to fill the pool
= work rate of inlet pipe
= work rate of drain pipe
Using the formulae
Volume of flow=work rate
time
Let us assume complete time of pool to fill = 1
Remaining fraction of pool to be filled = ![1-\frac{1}{3}=\frac{2}{3}](https://tex.z-dn.net/?f=1-%5Cfrac%7B1%7D%7B3%7D%3D%5Cfrac%7B2%7D%7B3%7D)
![\begin{array}{l}{\frac{1}{33} x-\frac{1}{34} x=\frac{2}{3}} \\\\ {\frac{x}{33}-\frac{x}{34}=\frac{2}{3}}\end{array}](https://tex.z-dn.net/?f=%5Cbegin%7Barray%7D%7Bl%7D%7B%5Cfrac%7B1%7D%7B33%7D%20x-%5Cfrac%7B1%7D%7B34%7D%20x%3D%5Cfrac%7B2%7D%7B3%7D%7D%20%5C%5C%5C%5C%20%7B%5Cfrac%7Bx%7D%7B33%7D-%5Cfrac%7Bx%7D%7B34%7D%3D%5Cfrac%7B2%7D%7B3%7D%7D%5Cend%7Barray%7D)
![\frac{34 x-33 x}{33 \times 34}=\frac{2}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B34%20x-33%20x%7D%7B33%20%5Ctimes%2034%7D%3D%5Cfrac%7B2%7D%7B3%7D)
![34 x-33 x=\frac{2 \times 34 \times 33}{3}](https://tex.z-dn.net/?f=34%20x-33%20x%3D%5Cfrac%7B2%20%5Ctimes%2034%20%5Ctimes%2033%7D%7B3%7D)
![\begin{array}{l}{x=\frac{2244}{3}} \\\\ {x=\frac{3168}{3}} \\\\ {x=748}\end{array}](https://tex.z-dn.net/?f=%5Cbegin%7Barray%7D%7Bl%7D%7Bx%3D%5Cfrac%7B2244%7D%7B3%7D%7D%20%5C%5C%5C%5C%20%7Bx%3D%5Cfrac%7B3168%7D%7B3%7D%7D%20%5C%5C%5C%5C%20%7Bx%3D748%7D%5Cend%7Barray%7D)
Time it will take to fill the pool = 748 hrs