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
REY [17]
3 years ago
5

Find the coordinates of G if F(2,5) is the midpoint of line GJ and J and has coordinates (-2,8)

Mathematics
1 answer:
dimulka [17.4K]3 years ago
4 0

Answer:

G(6,2)

Step-by-step explanation:

If point F(x_F,y_F) is the midpoint of the segment GJ, where G(x_G,y_G) and J(x_J,y_J), then

x_F=\dfrac{x_G+x_J}{2},\\ \\y_F=\dfrac{y_G+y_J}{2}.

In your case,

F(2,5),\ J(-2,8),

therefore,

2=\dfrac{x_G+(-2)}{2},\\ \\5=\dfrac{y_G+8}{2}.

Thus,

x_G-2=4\Rightarrow x_G=6,\\ \\y_G+8=10\Rightarrow y_G=2.

You might be interested in
Which choice represents the expression below as a single exponential
Lostsunrise [7]

Answer:

D

Step-by-step explanation:

When multiplying numbers with the same base but different exponents, add the exponents together.

4 0
2 years ago
Determine whether the following statements are true and give an explanation or a counter example. a. The Trapezoid Rule is exact
Norma-Jean [14]

Answer:

statement is TRUE  

statement is FALSE  

statement is TRUE  

Step-by-step explanation:

(a)  

By using the Trapezoidal Rule, the definite integral can be computed by applying linear interpolating formula on each sub interval, and then sum-up them, to get the value of the integral  

So, in computing a definite integral of a linear function, the approximated value occurred by using Trapezoidal Rule is same as the area of the region.  Thus, the value of the definite integral of a linear function is exact, by using the Trapezoidal Rule.  

Therefore, the statement is TRUE  

(b) Recollect that for each rule of both the midpoint and trapezoidal rules, the number of sub-internals, n increases by a factor of a. then the error decreases by a factor of a^2.  

So, for the midpoint rule, the number of sub-intervals, n is increased by a factor of 3, then the error is decreased by a factor of 32 = 9, not 8. Therefore, the statement is FALSE  

(c) Recollect that for each rule of both the midpoint and trapezoidal rules, the number of sub-internals, n increases by a factor of a. then the error decreases by a factor of a^2.  

So, for the trapezoidal rule, the number of sub-internals, n is increased by a factor of 4. then the error is decreased by a factor of 42 = 16  

Therefore, the statement is TRUE  

3 0
3 years ago
Calculate the Rate of Return on an initial investment of $6,000 valued at $6,500.
bezimeni [28]

Answer:

8.3%

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
A right triangle with side legs of length 13 and 12 what is the value of x enter your answer in the box ​
Y_Kistochka [10]

Step-by-step explanation:

x =  \sqrt{ {12}^{2} +  {13}^{2}  }  \\  = \sqrt{ 144 +  169  }   \\  =  \sqrt{313}  \\  = 17.69 \\

4 0
3 years ago
Read 2 more answers
Two blocks of ice are shaped as right rectangular prisms. The smaller block of ice has a length of 6 in., a width of 4 in., and
ElenaW [278]
The answer is 6480.
Length: 6x3=18
Width: 4x3=12
Height:10x3=30
LengthxWidthxHeight=18x12x30=6480
5 0
3 years ago
Other questions:
  • Let f(x)=3x^2+2.
    14·1 answer
  • Simone has 5 employees in her flower shop. Each employee works 
    7·1 answer
  • Which statement is true about the product square root of 2(5 + square root of 8)?
    8·2 answers
  • Margie's car can go 3232 miles on a gallon of gas, and gas currently costs $4$4 per gallon. How many miles can Margie drive on $
    11·1 answer
  • Plz help me<br> Answer this plz:
    11·2 answers
  • Jaime bakes24 muffins and gives away 3. She also bakes 36 bagels and gives away 4. Writean expression using GROUPING SYMBOLS ILL
    8·1 answer
  • Sam rides his bike at most 2 kilometers to school. What is the greatest distance, in kilometers, Annika could ride her bike to s
    9·1 answer
  • What is the definition of unit rate
    11·2 answers
  • One challenge of federalism is that
    12·1 answer
  • 2
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!