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yuradex [85]
3 years ago
11

What are the coordinates of the midpoint of the line segment with the endpoints (2,-5) and (8,3)

Mathematics
1 answer:
Papessa [141]3 years ago
7 0
  • Midpoint Formula: (\frac{x_2+x_1}{2} ,\frac{y_2+y_1}{2} )

Plug the coordinates into the midpoint formula and solve as such:

(\frac{2+8}{2} ,\frac{-5+3}{2} )\\\\(\frac{10}{2} ,\frac{-2}{2} )\\\\(5,-1)

<u>Your midpoint is (5,-1).</u>

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Can someone solve m - 4m= -6 step by step please?
marta [7]

Answer:

m = 2

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

Equality Properties

Step-by-step explanation:

<u>Step 1: Define Equation</u>

m - 4m = -6

<u>Step 2: Solve for </u><em><u>m</u></em>

  1. Combine like terms:                    -3m = -6
  2. Divide -3 on both sides:              m = 2

<u>Step 3: Check</u>

<em>Plug in m into the original equation to verify it's a solution.</em>

  1. Substitute in <em>m</em>:                     2 - 4(2) = -6
  2. Multiply:                                 2 - 8 = -6
  3. Subtract:                                -6 = -6

Here we see that -6 does indeed equal -6.

∴ m = 2 is the solution to the equation.

3 0
3 years ago
ABC = 25x + 34<br> CBD= 11x +23<br> Find ABD CBD and ABC
mote1985 [20]

The measure of <ABD, <DBC and <ABC are 67, 67 and 134 degrees respectively.

<h3>Bisection of angles</h3>

Angles are bisected if they are divided into two equal parts.

If the angle BC bisects <ABC, hence <ABD and <DBC are equal, hence;

2(11x + 23) = <ABC

Given
the following parameters

<ABC = 25x + 34

2(11x + 23) = 25x + 34

Expand

22x +46 = 25x + 34

22x-25x = 34 - 46

-3x = -12

x = 4

Determine the measure of the angles

<ABD = 11x + 23 = <DBC
<ABD = 11(4) + 23

<ABD = 44 + 23

<ABD = 67 degrees

<ABC = 2(67)

<ABC = 134 degrees

Hence the measure of <ABD, <DBC and <ABC are 67, 67 and 134 degrees respectively.

Learn more on bisection of angles here: brainly.com/question/25770607

#SPJ1

5 0
2 years ago
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