Using the distance formula, the area of the rectangle is: 16 units².
<h3>What is the Area of a Rectangle?</h3>
Area of a rectangle = (length)(width).
Given the vertices:
- A(−3, −1)
- B(1, 3)
- C(3, 1)
- D(−1, −3)
Area = (AB)(BC)
Apply the distance formula, 
, to find AB and BC:
AB = √[(1−(−3))² + (3−(−1))²]
AB = √[(4)² + (4)²]
AB = √32
BC = √[(1−3)² + (3−1)²]
BC = √[(−2)² + (2)²]
BC = √8
Area = (√32)(√8) = √256
Area = 16 units²
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Answer:
Expression
Step-by-step explanation:
Expressions use numbers, variables, and operations to form a mathematical calculation.
Equations are similar except they use equal signs, so that makes them different than expressions.
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The miles the student biked in two weeks is 11 2/3 miles.
The distance the student bikes is given in fractions. Fractions are numbers that are made up of numerator and denominators. An examples of a fraction is 1/4. 1 is the numerator and 4 is the denominator.
In order to determine the distance biked in 2 weeks, the distance biked in a day has to be determined.
Distance biked in a day = (1/4 + 1/3 + 7/12)
14/12 = 1 2/12 = 1 1/6
Distance he would travel in 2 weeks
1 1/6 x 10
7/6 x 10 = 70 /6 = 11 2/3 miles
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Answer:
Step-by-step explanation:
Circumference of circle = 7π cm
θ = 2π × 5.5/(7π) = 11/7 radians
Answer:
It would take 19 hours and 36 minutes until there are 1040 bacteria present.
Step-by-step explanation:
Given that in a lab experiment, 610 bacteria are placed in a petri dish, and the conditions are such that the number of bacteria is able to double every 23 hours, to determine how long would it be, to the nearest tenth of an hour, until there are 1040 bacteria present, the following calculation must be performed:
610X = 1040
X = 1040/610
X = 1.7049
2 = 23
1.7049 = X
1.7049 x 23/2 = X
39.2131 / 2 = X
19.6 = X
100 = 60
60 = X
60 x 60/100 = X
36 = X
Therefore, it would take 19 hours and 36 minutes until there are 1040 bacteria present.
