1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Nikolay [14]
3 years ago
8

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

Mathematics
1 answer:
Pavlova-9 [17]3 years ago
5 0

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

You might be interested in
Rachel used 9 cups of flour and 4 teaspoons of sugar.
Firdavs [7]

Answer:

54 cups of flour

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
maggie spent 4.50 on cheese and fruit at the farmers market. she bought 1/8 pound of apples, 1/4 pound of pears and 1.25 pounds
serious [3.7K]

The produced answer is 5.5


                         hope it helps

4 0
3 years ago
What is the equation of the line in standard form
aivan3 [116]

your answer is d because the formula is Ax+By=C

6 0
3 years ago
Solve the equation f(x)=2x+7 ​
bija089 [108]

Answer:

2

Step-by-step explanation:

6 0
3 years ago
F(x)= 5x + 7. Evaluate F(5)
Vikentia [17]

Answer:

F(x) = 5x + 7

F(5) = 5*5 + 7 = 25 + 7 = 32

8 0
3 years ago
Other questions:
  • Tomas bought 80 tickets for rides at an amusement park. Each ride costs 5 tickets, and Tomas has been on x rides so far. Which e
    15·1 answer
  • A set of four 15.0-mL solutions—each in a similar open dish—was left at room temperature, and the amount that remained was recor
    13·2 answers
  • For a rectangular prism, if the base length was shrunk by a factor of two-thirds, the width was quadrupled, and height was cut i
    12·1 answer
  • What is 1/2r +2(3/4-1)=1/4r+6
    12·1 answer
  • A carpenter is cutting dowels from a piece of wood that is 10 inches long. How many 1/2 inch dowels can the Carpender cut? Pleas
    8·1 answer
  • Help me ASAP for this question
    8·1 answer
  • WILL GIVE BRAINLIEST PLEASE ANSWER HURRYYYYY
    12·1 answer
  • Helpppppp please look at the picture i added
    10·1 answer
  • I NEED THIS FAST PLEASE HELP WILL GIVE BRANILIOSST
    9·1 answer
  • Given a series discount of 25/25 what is the net cost equivalent?
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!