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denis23 [38]
3 years ago
12

Line segment GH has endpoints at G(4,-8) and (-2,6). What is the midpoint of the line segment GH

Mathematics
2 answers:
Irina18 [472]3 years ago
4 0

Answer:

(1,-1)

Step-by-step explanation:

Find the middle between the two points:

4 to -2=6, so the middle would be 3

4-3=1

-8 to 6=14, so the middle would be 7

-8+7=-1

Sophie [7]3 years ago
4 0

Answer:

\displaystyle (1,-1)

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<u> </u>

<u>Algebra I</u>

  • Coordinates (x, y)
  • Midpoint Formula: \displaystyle (\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})

Step-by-step explanation:

<u>Step 1: Define</u>

Point G(4, -8)

Point H(-2, 6)

<u>Step 2: Find Midpoint</u>

Simply plug in your coordinates into the midpoint formula to find midpoint

  1. Substitute in points [Midpoint Formula]:                                                       \displaystyle (\frac{4-2}{2},\frac{-8+6}{2})
  2. [Fraction] Subtract/Add:                                                                                 \displaystyle (\frac{2}{2},\frac{-2}{2})
  3. [Fraction] Divide:                                                                                             \displaystyle (1,-1)
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0.5x+7/3 = 21/4 cross multiply
TiliK225 [7]

Solving the expression  \frac{0.5x+7}{3}=\frac{21}{4} we get: x=\frac{35}{2}\,\,or\,\,x=17.5

Step-by-step explanation:

Solving the expression: \frac{0.5x+7}{3}=\frac{21}{4}

Solving by cross multiplying:

\frac{0.5x+7}{3}=\frac{21}{4}\\(0.5x+7)*4=21*3\\Simplifying:\\2x+28=63\\Adding\,\,-28\,\,on\,\,both\,\,sides:\\2x+28-28=63-28\\2x=35\\Divide\,\,both\,\,sides\,\,by\,\,2\\\frac{2x}{2}=\frac{35}{2}\\x=\frac{35}{2}\,\,or\,\,x=17.5

So, solving the expression  \frac{0.5x+7}{3}=\frac{21}{4} we get: x=\frac{35}{2}\,\,or\,\,x=17.5

Keywords: Solving Fractions

Learn more about Solving fractions at:

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3 years ago
Identify all solutions for a triangle with A - 38°, b= 10, and a=8. Round to the nearest tenth.
Alex

Answer:

B= 50.35°

C=91.65°

c= 12.77

Step-by-step explanation:

Given:

A = 38°

b= 10 and a=8.

Required:

angles B and C, and sides c.

By  using the rule for law of sines

sin B=b\frac{sinA}{a} = \frac{(10)(0.62)}{8} => 0.77

B= sin^-^1(0.77) => 50.35°

For angle C:

angle C= 180 - A - B => 180 - 38 - 50.35

            =91.65°

For side c:

c=a(\frac{sinC}{sinA} ) => 8(\frac{0.99}{0.62})

c= 12.77

3 0
3 years ago
Read 2 more answers
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