Answer:
(2,-2)
Step-by-step explanation:
The solution to a system of equations like these, is where the two lines intersect. In this case, I believe, it would be at point (2,-2). Although, it is a little hard to pinpoint without the labeled number lines.
Hope this helps! Best of luck!
If the perimeter is fixed and you want to use it to enclose the greatest
possible area, then you form the perimeter that you have into a circle.
If it must be a rectangle, then the greatest possible area you can enclose
with the perimeter that you have is to form it into a square.
Since the perimeter that you have is 18 inches, form it into a square
with sides that are 4.5 inches long.
The area of the square is (4.5)² = 20.25 square inches.
There is no such thing as the 'least possible' area of the rectangle.
The longer and skinnier you make it, the less area it will have, even
if you keep the same perimeter. No matter how small you make the
area, it can always be made even smaller, by making the rectangle
even longer and skinnier. You can make the area as small as you
want it. You just can't make it zero.
Example:
Width = 0.0001 inch
Length = 8.9999 inches
Perimeter = 18 inches
Area = 0.00089999 square inch.
So, the difference between the greatest and least possible area
of the rectangle with the perimeter of 18 inches is
<em> (20.25) - (the smallest positive number you can think of)</em> square inches.
Answer:
1095
Step-by-step explanation:
There is a common difference between consecutive terms , that is
7 - (- 10) = 24 - 7 = 17
This indicates the sequence is arithmetic with n th term
= a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = - 10 and d = 17 , thus
= - 10 + (65 × 17) = - 10 + 1105 = 1095
Answer:
$89.93
Step-by-step explanation:
Set up an equation:
Variable x = original price
40/100 = 35.97/x
Cross multiply
40 × x = 100 × 35.97
40x = 3597
Divide both sides by 40
x = 89.925
Round to the nearest cent:
5 rounds up so:
89.93
Check your work (use the original number instead of the rounded number to be more exact):
89.925 × 40%
Convert the percentage into a decimal to multiply:
89.925 × 0.40
35.97
Correct!
