Answer: Length = 10cm
Width = 6.5cm
Step-by-step explanation:
Let the width of the rectangle be represented by x.
Therefore, the length of the rectangle will be: = (2 × x) - 3 = 2x - 3
Therefore area of a rectangle = length × width
x(2x - 3) = 65
2x² - 3x = 65
2x² - 3x - 65 = 0
2x² + 10x - 13x - 65 = 0
2x(x + 5) - 13(x + 5) = 0
(2x - 13)(x + 5) = 0
2x - 13 = 0
2x = 13
x = 13/2
x = 6.5
Width = 6.5cm
Length = 2x - 3
= 2(6.5) - 3
= 13 - 3
= 10cm
Therefore, the length of the rectangle is 10cm and the width is 6.5cm.
Answer:
At time t hours,
D(t) = √(5200t²)
Step-by-step explanation:
Charlies car is travelling at 40 miles/h while andy's car is travelling at 60 miles/h.
Now, distance = speed x time
Thus;
At a time t, the distance, covered by Charlie's car will be;
D1 = 40t
Similarly, At a time t, the distance, covered by Andy's car will be;
D2 = 60t
Using Pythagoras theorem,
D² = (40t)² + (60t)²
D² = 1600t² + 3600t²
D² = 5200t²
D = √(5200t²)
You could do 50 2 seat tables and 5 4 seat tables
You could do you could do 40 2 seat tables and 10 4 seat tables
The simplified expression is 5x to the 7 power times 56 to the power of 8