Answer:
c. two real solutions
Step-by-step explanation:
x = -5 , x = 1.5
Answer:
y = 6/5
Step-by-step explanation:
3x - 5y = -3
Let x =1
3(1) - 5y = -3
3-5y = -3
Subtract 3 from each side
3-3-5y = -3-3
-5y = -6
Divide each side by -5
-5y/-5 = -6/-5
y = 6/5
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.
The answer is 1/2n-4
Multiplying a number n by 1/2 is the same as dividing that number by 2.
Answer:P=a+b+c
Step-by-step explanation:
