Hey there!
2(3x - 7) = 9y
2(3x - 7) = 9(-7)
2(3x - 7) = -63
2(3x) + 2(-7) = -63
6x - 14 = -63
ADD 14 to BOTH SIDES
6x - 14 + 13 = -63 + 13
SIMPLIFY IT!
6x = -63 + 13
6x = -49
DIVISION 6 to BOTH SIDES
6x/6 = -49/6
SIMPLIFY!
x = -49/6
x = -8 1/6
Therefore, the answer should be:
x = -8 1/6 (or x = -49/6 [EITHER OF THOSE SHOULD BE YOUR RESULT BECAUSE THEY ARE BOTH EQUAL TO EACH OTHER])
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
5.
f(K) = D^3 => f(25) = 125 => 25 * t = 125 ( because K is directly proportional with D^3 )=> t = 125 / 25 => t = 5 => f(25) = 25 * 5 => K * 5 = D^3 ;
6.
f(L) = F^3 => f(2) =3^3 =>f(2) = 27 => 2 / t =27 => t = 2 / 27 => t = 0.074 => f(2) = 2 / 0.074 => K / 0.074 = F^3 ;
Given:
A circle of radius r inscribed in a square.
To find:
The expression for the area of the shaded region.
Solution:
Area of a circle is:

Where, r is the radius of the circle.
Area of a square is:

Where, a is the side of the square.
A circle of radius r inscribed in a square. So, diameter of the circle is equal to the side of the square.

So, the area of the square is:


Now, the area of the shaded region is the difference between the area of the square and the area of the circle.




Therefore, the correct option is (a).