Answer:
Area of the new rectangle = 148.8 cm square
Step-by-step explanation:
Let x be the dimensions of the rectangle then the
Perimeter of the Original rectangle= 2(L+B)
= 2 ( 3x+2x) = 2(5x)= 10xcm
If the length is increased by eight the new length would be 3x+ 8
and width would be 2x+x= 3x after 50 % increase
Perimeter of the new rectangle= 2(L+B)
= 2 ( 3x+8 +3x)
= 2 (6x+8)
= 12x + 16
Ratio of the new perimeter to the original perimeter is
New perimeter : Original perimeter
8 : 5
12x+ 16 : 10x cm
80x= 60x + 16
20x= 16
x= 16/20= 4/5
Putting the value of length and breadth in place of x
Area of the new rectangle = L*B = 3 * (4/5) +8 *3(4/5)=
= 12+ 40/5 * 12/5
= 62/5* 12/5
= 744/5
= 148.8 cm square
Step-by-step explanation:
domain is all real numbers since its quadratic: (-infinity, infinity)
Range is from -6 to positive infinity or [-6, infinity)
Answer:
The desired equation is y = x + 8.
Step-by-step explanation:
As we move right from (-2,6) to (4,12), x increases by 6 and y also increases by 6. Thus, the slope, m, m = rise / run, is m = 6/6, or just m = 1.
Start with the slope intercept form y = mx + b. Since m = 1, we now have y = x + b. Subbing 4 for x, 12 for y, we can find b: 12 = 4 + b. Thus, b = 8.
The desired equation is y = x + 8.
Are you trying to subtract?
If so, the answer is -5,333.