Why does the graph of an exponentai funcation have its shape

To the nearest tenth, find the perimeter of ABC with vertices A (-2,-2) B (0,5) and C (3,1)

Pavlova-9 [17]

the perimeter will then just be the sum of the distances of A, B and C, namely AB + BC + CA.

$\bf ~~~~~~~~~~~~\textit{distance between 2 points}\\\\A(\stackrel{x_1}{-2}~,~\stackrel{y_1}{-2})\qquadB(\stackrel{x_2}{0}~,~\stackrel{y_2}{5})\qquad \qquadd = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2}\\\\\\AB=\sqrt{[0-(-2)]^2+[5-(-2)]^2}\implies AB=\sqrt{(0+2)^2+(5+2)^2}\\\\\\AB=\sqrt{4+49}\implies \boxed{AB=\sqrt{53}}\\\\[-0.35em]\rule{34em}{0.25pt}\\\\B(\stackrel{x_2}{0}~,~\stackrel{y_2}{5})\qquad C(\stackrel{x_1}{3}~,~\stackrel{y_1}{1})\\\\\\BC=\sqrt{(3-0)^2+(1-5)^2}\implies BC=\sqrt{3^2+(-4)^2}$

$\bf BC=\sqrt{9+16}\implies \boxed{BC=5}\\\\[-0.35em]\rule{34em}{0.25pt}\\\\C(\stackrel{x_2}{3}~,~\stackrel{y_2}{1})\qquad A(\stackrel{x_1}{-2}~,~\stackrel{y_1}{-2})\\\\\\CA=\sqrt{(-2-3)^2+(-2-1)^2}\implies CA=\sqrt{(-5)^2+(-3)^2}\\\\\\CA=\sqrt{25+9}\implies \boxed{CA=\sqrt{34}}\\\\[-0.35em]\rule{34em}{0.25pt}\\\\~\hfill \stackrel{AB+BC+CA}{\approx 18.11}~\hfill$

5 0

3 years ago

Gabriela has dinner at a cafe and the cost of her meal is $45.00.Because of the service, she wants to leave 15% tip.

goblinko [34]

Answer: $51.75

Step-by-step explanation:

7 0

3 years ago

The distribution of individual incomes in the United States is strongly skewed to the right. In 2013, the mean and median income

vesna_86 [32]

Answer:

The mean would be $322,343 and the median would be $196,723.

Step-by-step explanation:

Since the distribution of individual incomes is skewed to the right, it means that the distribution has a long right tail.

Drawing a distribution with this characteristic, we can see how the majority of the data falls into the left side of the graphic, meaning that a lot of people receive less income. Following this reasoning, the mean which is the amount of the data (in this case individual income) divided by the amount of people, would be the higher number, meaning that the few people who earn more money would influence in making this number higher.

Following this reasoning, the median (which is not influenced by this difference) would be the less high number.

5 0

4 years ago

If an object is blue, what color of light is being absorbed by the object? blue black white every color but blue

bearhunter [10]

Every color except blue. The blue color bounces off the object into our eyes.

5 0

4 years ago

Margaret is folding paper flowers for an art project.The number of paper flowers she can make varies dicetly with the amount of

yKpoI14uk [10]

Answer:

168 in 7 hours.

Step-by-step explanation:

We can't multiply.

We got to count up by 12's for each 1/2 hour.

12, 24, 36, 48, 60, 72, 84, 96, 108, 120, 132, 144, 156, 168.

Simplified:

24, 48, 72, 96, 120, 144, 168.

Estimate:

12 = 1/2 hour
24 = 1 hour
36 = 1 1/2 hours
48 = 2 hours
60 = 2 1/2 hours
72 = 3 hours
84 = 3 1/2 hours
96 = 4 hours
108 = 4 1/2 hours
120 = 5 hours.
132 = 5 1/2 hours
144 = 6 hours
156 = 6 1/2 hours
168 = 7 hours.

Answer is 168.

5 0

3 years ago