Answer:
Step-by-step explanation:
Let the number = x
Read carefully the sentence part beginning with 4 times larger
4* something
4 times larger than the square of 1/2 the number
4 * (x/2)^2
4*(x/2)^2 = x
4*x^2/4 = x
x^2 = x be very careful how you handle this. It looks like 0 might be an answer, but it isn't. If you divide x on both sides and you allow 0, you will get 0 / 0 and that is undefined. You must exclude that possibility with some sort of statement.
x cannot be 0.
x^2/x= x/x
x = 1
Either W or X could be the table.
In the "Brown" column, both of these tables have a larger entry for "Green" than they do for "Blue", which would lead to the conclusion the teacher made.
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Answer:
The ares in factorised form is C. (x-8)(x-6)
When expanded it is G. x^2-14x+48
Step-by-step explanation:
The rectangular photo is mounted on a piece of board whose sides have length x. The border that surrounds the photo is 3 inches on each side and 4 inches on both the top and the bottom.
Area of rectangle is length × breadth
Length of rectangle (x - 4 - 4) = (x - 8) inches
Breadth of rectangle (x -3 - 3) = (x -6) inches
Thus, area of photograph = (x - 8)(x -6) inches².
Expanding it by opening the bracket
x(x-6)-8(x-6)= x^2-6x-8x+48=x^2-14x+48
Thus; C and G is correct
To answer, substitute the value of y in the second equation to that of the first.
x² + (x + 2)² = 100
Simplification leads to,
x² + x² + 4x + 4 = 100
2x² + 4x + 4 = 100
x² + 2x - 48 = 0
The roots of this equation are x = 6 and x = -8. Thus, the answer is letter C.
