Step-by-step explanation:
circumference =pi × diameter
=(22/7)×2.2
=6.914ft
Complete the square to rewrite the quadratic:
2 <em>x</em>² + 3 <em>x</em> + 5 = 2 (<em>x</em>² + 3/2 <em>x</em>) + 5
... = 2 (<em>x</em>² + 3/2 <em>x</em> + 9/16 - 9/16) + 5
... = 2 (<em>x</em>² + 3/2 <em>x</em> + (3/4)²) + 5 - 9/8
... = 2 (<em>x</em> + 3/4)² + 31/8
Any real number squared becomes non-negative, so the quadratic expression has a minimum value of 31/8, which is greater than 0, and so there are no (real) <em>x</em> for which <em>y</em> = 0.
If six foxes catch six hens in six minutes... then sixty foxes can catch sixty hens in sixty minutes.
The scale factor needs to be squared first before multiplying it to the area of parallelogram PQRS to find the area of dilation P'Q'R'S'. So in other words,
Area of P'Q'R'S' = 4² x Area of PQRS = 16 x Area of PQRS
