Answer:A
Step-by-step explanation: first u add them then divide them then minus them that’s all
Area of square = s^2
Area of Rectangle = lw
l = 2s
w+3 = s
solve for w, w=s-3
Now we have l and w.
Plug both into area of rectangle formula so: (2s)(s-3)
Since both areas are equal set both equations equal to each other:
(2s)(s-3)=s^2
Now simplify
2s^2-6s=s^2
s^2-6s=0, Solve for s.
Factor polynomial. s(s-6)=0 , s can be equal to 0 or 6. HOWEVER, you cannot have a side length of 0 therefore the side length has to be 6.
Now plug in s for the length formula for the rectangle:
l = 2s so... l = 2(6) so length of rectangle = 12.
Now plug in s for the width formula for the rectangle:
w+3=s so... w+3=6 so width of rectangle = 3.
Now the dimensions of the rectangle are 12 by 3. 12 being length and 3 width.
To CHECK:
Find area of rectangle:
A=lw so A=3 times 12 so A=36
Find area of square:
We know the side is equal to 6 so
A=s^2 so 6^2 = 36
The areas are equal that verifies the answer of 12 by 3.
Answer:
Clare
Step-by-step explanation:
Clare ~ 2 1/2 divided by 1/3 = 7.5
Han~ 1 2/3 divided by 1/4 = 6.6666
Clares is larger so clare's was stronger
Answer:
C
Step-by-step explanation:
C
Answer:
7x + 2y = -22
Step-by-step explanation:
Standard form looks like Ax + By = C.
Start with Y = -7/2x-11. Better to write that as Y = (-7/2)x - 11 to emphasize that the coefficient of x is the fraction -7/2.
Move the (-7/2)x term to the left:
(7/2)x + y = -11
Multiply all terms by 2 to eliminate the fractions:
7x + 2y = -22 (answer)
