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Leokris [45]
2 years ago
5

PPPPPLLLLLLZZZZZZZ HEEEELLP

Mathematics
1 answer:
ratelena [41]2 years ago
8 0
Do you have to show work? i can do all of this for you
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Find the perimeter of Triangle ABC with the verticies A(-5,5) B(3,-5) and C(-5,1
finlep [7]

Hello!
 
Let's calculate a distance between two points using the Pythagorean theorem:<span>

</span>d ^ 2_ {AB} = (x_ {B} - x_ {A}) ^ 2 + (y_ {B} - y_ {A}) ^ 2

Data:

x_B = 3 &#10;&#10;x_A = -5 &#10;&#10;y_B = -5 &#10;&#10;y_A = 5 &#10;&#10;d_ {AB} =?

Solving: distance from A to B

d^ 2_ {AB} = (x_ {B} - x_ {A}) ^ 2 + (y_ {B} - y_ {A}) ^ 2 &#10;&#10;d^ 2_ {AB} = (3 - (-5)) ^ 2 + (-5 - 5) ^ 2 &#10;&#10;d^ 2_ {AB} = (8) ^ 2 + (-10) ^ 2 &#10;&#10;d^ 2_ {AB} = 64 + 100 &#10;&#10;d^ 2_ {AB} = 164 &#10;&#10;d_{AB} = \sqrt {164} &#10;&#10;d_{AB} = \sqrt {2 ^ 2 * 41} &#10;&#10;\boxed {d_ {AB} = 2 \sqrt {41}}

<span>Solving:
 
distance from A to C</span>

d ^ 2_ {AC} = (x_ {C} - x_ {A}) ^ 2 + (y_ {C} - y_ {A}) ^ 2

Data:

x_C = -5&#10; &#10;x_A = -5&#10; &#10;y_C = 1 &#10;&#10;y_A = 5 &#10;&#10;d_ {AC} =?


d^ 2_ {AC} = (x_ {C} - x_ {A}) ^ 2 + (y_ {C} - y_ {A}) ^ 2 &#10;&#10;d^ 2_ {AC} = (-5 - (-5)) ^ 2 + (1 - 5) ^ 2 &#10;&#10;d^ 2_ {AC} = (0) ^ 2 + (-4) ^ 2  &#10;&#10;d^ 2_ {AC} = 0 + 16  &#10;&#10;d^ 2_ {AC} = 16 &#10;&#10;d_ {AC} = \sqrt {16} &#10;&#10;\boxed {d_ {AC} = 4}&#10;<span>
</span>

Solving:

distance from B to C

d^ 2_ {BC} = (x_ {C} - x_ {B}) ^ 2 + (y_ {C} - y_ {B}) ^ 2

Data:

x_C = -5 &#10;&#10;x_B = 3 &#10;&#10;y_C = 1 &#10;&#10;y_B = -5 &#10;&#10;d_ {BC} =?


d^ 2_ {BC} = (x_ {C} - x_ {B}) ^ 2 + (y_ {C} - y_ {B}) ^ 2&#10; &#10;d^ 2_ {BC} = (-5 - 3) ^ 2 + (1 - (-5)) ^ 2&#10;&#10;d^ 2_ {BC} = (-8) ^ 2 + (6) ^ 2  &#10;&#10;d^ 2_ {BC} = 64 + 36&#10;&#10;d^ 2_ {BC} = 100 &#10;&#10;d_ {BC} = \sqrt {100}&#10;&#10;\boxed {d_ {BC} = 10}

<span>Now let's calculate the perimeter of the triangle ABC, knowing that the perimeter is the sum of the sides, then:
</span>
p = d_ {AB} + d_ {AC} + d_ {BC}  &#10;&#10;

p = 2\sqrt {41} + 4 + 10

&#10;\boxed {\boxed {p = 14 + 2 \sqrt {41}}} \end {array}} \qquad \quad \checkmark
8 0
3 years ago
How did the Punic Wars change the population of the cities of Rome?
PtichkaEL [24]
People moved to the cities to escape war. Some people had left the countryside to work in the arms industry and some had left for Rome looking for subsistence. Rome became the most populous city in Europe and West Asia.
6 0
2 years ago
In circle O, which segment is a diameter?<br><br> a) RC<br> b) SD<br> c) CO<br> d) OH
kupik [55]
RC is the diameter. As you can see, it runs across the circle.

I hope this helped you. 

Brainliest answer is always appreciated. 
5 0
3 years ago
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The school you want to go to has an acceptance rate of 15%. That means that 15% of the students who apply to the school get in.
lisov135 [29]
12,000 Students Applied...

To find the answer, consider that for every 1000 students that apply, 150 students are accepted.

Divide 1800 by 150 and you get 12....which can be translated to 12,000 students

4 0
2 years ago
20 POINTS!!!!!!!
zavuch27 [327]
So the first one is -0.5 and second is -0.5 the third one is -0.5 and the fourth is -0.25 so I would say that is D
8 0
3 years ago
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