The volume is 378 ft³. Hope this helps! Good luck.
A translation of 2 units up will increase the y coordinate by 2 units and a translation by 5 units to the left will decrease the x coordinate by 5. Hence after these translations point (2,2) becomes
<span>(2 - 5 , 2 + 2) = (-3,4) </span>
When point (-3,4) is reflected in the x axis, its y coordinate changes sign and point (-3 ,4) becomes
<span>(-3,-4)</span>
The answer would be A because if you combine all the like terms you will get A as a result.
-2x^2+8x-9+4x+7x^2+2
-2x^2+7x^2 combine both of these and it will get you 5x^2
And then you would do 8x+4x which would be 12x and lastly you would -9+2 which would be -7 so the answer is A.
Hope this helps!!
1) Given
2) Definition of supplementary
3) Substitution
4) Exterior sides in opposite rays.
First, let x or any variable represent the number of paintings Kate initially has. After selling 12 of it, her paintings now becomes only x - 12. Then, she purchased 7 more making the number of her paintings become x - 12 + 7 = x - 5. This number tantamount to 21.
x - 5 = 21 ; x = 26
Thus, Kate initially had 26 paintings.
