Let us suppose missing term is y
so it becomes - ( x-1) + 5 = 2 ( x+3) - y
let us now try solving it for x ( in terms of y )
-x + 1 + 5 = = 2x + 6 - y
-x + 6 = 2x + 6 -y
6 + y = 2x + 6 +x
y = 3x
y / 3 = x
but x is given to be infinite . let us try placing y= the given options
x= x/3 which is not possible
x= 3x/3 which is giving valid statement
x= 1/3 which is a finite value
x= 5/3 again a finite value
so it is only y= 3x which could be the answer
Answer : option second that is 3x
9514 1404 393
Answer:
√35 +3√7 -6 . . . square units
Step-by-step explanation:
The area can be figured a number of ways. The figure can be divided into parts, and the areas of those parts added.
Or, the area of the enclosing rectangle can be found, and the rectangle at upper right that is not shaded can be subtracted from that. We choose the latter.
The overall width is the sum of the given partial widths:
width = (√7 -2) + (2) = √7
Then the area of the bounding rectangle is ...
A = LW = (√5 +3)(√7) = √35 +3√7
The area of the upper right empty-space is ...
A = LW = (3)(2) = 6
Then The area of the shaded figure is ...
√35 +3√7 -6
Okay, so 75 counts for 30% (exams), 80 counts for 20% (term paper), and 85 counts for 50% (final exam)
So you would multiply 30% by 75, 20% by 80, and 50% by 85. That would be 22.5, 16, and 42.5. Add these numbers up, and put them over the total percentage, 100%. So you would have 81/100. The student's final average is 81%.
