area of rectangle = L x w
so 16 x12 = 192 square feet
First, find the area: Area (A) = length (L) x width (w) = 14 x 7 = 98 ft²
Next, find the cost:
98 ft² x $.75/ft² = $73.50
36
+57
------
93
On a number line: Start at 0. Count forward until you reach 36. Once you've reached 36, Mark it. Then you go forward 57, from the mark you made at 36. You should end up on 93 on the number line.
If x = 1.5 is the only solution to the equation 4x² - ax + b =0 then
4x² - ax + b = 4(x - 1.5)² |use p² - 2pq + q² = (p - q)²
4x² - ax + b = 4(x² - 2x · 1.5 + 1.5²)
4x² - ax + b = 4(x² - 3x + 2.25)
4x² - ax + b = 4x² - 12x + 9 |subtract 4x² from both sides
-ax + b = -12x + 9
therefore
-a = -12 ⇒ a = 12 and b = 9
