This is an example of the quotient of powers property and tells us that when you divide powers with the same base you just have to subtract the exponents. When you raise a quotient to a power you raise both the numerator and the denominator to the power. When you raise a number to a zero power you'll always get 1.
AB = CD = √8 ≈ 2.8 units
BC = AD = √2 ≈ 1.4 units
Area of the rectangle ABCD = 3.92 units²
Perimeter of the rectangle ABCD = 8.4 units
<h3>How to Find the Area and Perimeter of a Rectangle?</h3>
Given the coordinates of vertices of rectangle ABCD as:
- A(0,2)
- B(2,4)
- C(3,3)
- D(1,1)
To find the area and perimeter, use the distance formula to find the distance between A and B, and B and C.
Using the distance formula, we have the following:
AB = √[(2−0)² + (4−2)²]
AB = √[(2)² + (2)²]
AB = √8 ≈ 2.8 units
CD = √8 ≈ 2.8 units
BC = √[(2−3)² + (4−3)²]
BC = √[(−1)² + (1)²]
BC = √2 ≈ 1.4 units
AD = √2 ≈ 1.4 units
Area of the rectangle ABCD = (AB)(BC) = (2.8)(1.4) = 3.92 units²
Perimeter of the rectangle ABCD = 2(AB + BC) = 2(2.8 + 1.4) = 8.4 units
Learn more about the area and perimeter of rectangle on:
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2834 - 2529 = 305 miles traveled
75.2 / 4.64 = 16.4 gallons used
305 / 16.4 = 18.5 miles per gallon
The limo did not use 1 gallon every 20 miles.
The limo used 1 gallon every 18.5 miles
Answer:
30 yards for 24 vs 1 foot for 25 cents
so lets multiple the yards by 3 to see how many feet
90 feet = 30 yards
90 feet 24 dollars
now lets divide 90 by 24
3.75 so 3.75 per foot
so the second one is way better
Hope This Helps!!!
It is 12 since 1/6=6^-1=6
implies 2*6=12
