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nikdorinn [45]
3 years ago
15

When you are trying to find the endpoint when given the midpoint and one point, what would the new formula be? Manipulate the fo

rmula using skills for solving literal equations. How would you find LaTeX: x_2\:\:\:or\:\:\:y_2x 2 o r y 2? Use LaTeX: x_m\:\:and\:\:\:\:y_mx m a n d y mto notate the midpoints. Remember the original midpoint formula is LaTeX: \left(\frac{x_1+\:x_2}{2},\:\:\frac{y_{1\:}+y_2}{2}\right)\:=\:\left(x_m,\:y_m\right)
Mathematics
1 answer:
MariettaO [177]3 years ago
7 0

Answer:

(x_2,y_2) = (2x_m - x_1 ,2y_m - y_1 )

Step-by-step explanation:

Given

\left(\frac{x_1+\:x_2}{2},\:\:\frac{y_{1\:}+y_2}{2}\right)\:=\:\left(x_m,\:y_m\right)

Required

Determine x2, y2

Start by splitting the expression

x_m = \left(\frac{x_1+\:x_2}{2}) and y_m = (\frac{y_{1\:}+y_2}{2})

Solving for x2 in x_m = \left(\frac{x_1+\:x_2}{2})

Multiply through by 2

2 * x_m = \frac{x_1 + x_2}{2} * 2

2x_m = x_1 + x_2

Make x2 the subject;

x_2 = 2x_m - x_1

Similarly:

y_m = (\frac{y_{1\:}+y_2}{2})

Multiply through by 2

2 * y_m = \frac{y_1 + y_2}{2} * 2

2y_m = y_1 + y_2

Make y2 the subject;

y_2 = 2y_m - y_1

Hence:

(x_2,y_2) = (2x_m - x_1 ,2y_m - y_1 )

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In Exercises 15 and 16, tell whether the triangle with the given side
Nata [24]

15. 10 cm, 10 cm, V200 cm  : Right Angled Triangle

16. 9 in., 16 in., 25 in. : Not a right angled triangle

Step-by-step explanation:

In order to check whether the given sides form a right angled triangle, we check if the sum of squares of two shorter sides is equal to the square of third longest side.

So

<u>15. 10 cm, 10 cm, V200 cm</u>

The\ shorter\ sides\ are\ 10cm\ and\ 10cm\\Let \\a=10\\b=10\\c=\sqrt{200}So,\\c^2=a^2+b^2\\(\sqrt{200})^2=(10)^2+(10)^2\\200 = 100+100\\200 = 200

<u>The triangle is a right angled triangle.</u>

<u>16. 9 in., 16 in., 25 in.​</u>

Here

a = 9 in

b=16 in

c=25 in

So,

c^2=a^2+b^2\\(25)^2=(9)^2+(16)^2\\625=81+256\\625=337

<u>The given triangle is not a right angled triangle.</u>

Keywords: Triangle, Right angled Triangle

Learn more about triangle at:

  • brainly.com/question/12896802
  • brainly.com/question/12973601

#LearnwithBrainly

3 0
3 years ago
PLEASE ANSWER ASAP WILL GIVE BRAINLIEST.
lara31 [8.8K]

Answer:

C) The cost increases $2.50 for every additional pair of shoes rented.

Step-by-step explanation:

Notice a pattern. When you buy a new pair of shoes, the total gets increased by $2.50 depending on how many pairs of shoes you buy. For example, starting with 1 pair of shoes, it costs $2.50, but when you buy another pair, the cost is $2.50+$2.50=2*$2.50=$5.00, and so on...

Therefore, the correct choice is C

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The general form of the equation of a circle is Ax2 By2 Cx Dy E = 0, where A = B 0. If the circle has a radius of 3 units and th
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6 0
3 years ago
Read 2 more answers
Make up any division equation thay has a solution of -2​
Andrej [43]
-10/5 or -8/4

You can make up an equation with the solution of -2 by multiplying -2 by any number ( for example -2 x 5 ) and then divide the result by the random factor you chose ( which would be 5 in this case )
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I hope this helps you

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