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DENIUS [597]
4 years ago
8

Which of the following points is an equal distance (equidistant) from a(2, −2) and b(−4, 6)?

Mathematics
1 answer:
lesantik [10]4 years ago
6 0
The point equidistant from a(2, -2) and b(-4, 6)  is the midpoint

For (x₁, y₁) and (x₂, y₂) the midpoint is given by:

 ( (x₁ + x₂)/2 ,  (y₁ + y₂)/2 )

Midpoint = ( (2 + -4)/2 , (-2 + 6)/2 )

               =  ( (2 - 4)/2 ,  (6 - 2)/2) ) = ( -2/2,  4/2) = (-1,  2)

So the point equidistant from the two points is (-1, 2).
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Translate and solve 5 less then three times a number is 16
Sergeu [11.5K]

Answer:

the number is 7

Step-by-step explanation:

I am not sure what you mean by "translate" but here is my solution to the problem.

first write the question as a equation: 3x - 5 = 16

then add 5 to both sides: 3x = 21

divide both sides by 3: x = 7

double check

3*7 - 5 = 16

the number is 7

8 0
3 years ago
Read 2 more answers
efore the overtime rule in a football league was​ changed, among 400 overtime​ games, 194 were won by the team that won the coin
jeyben [28]

Answer:

The coin toss does not appear to be  fair

Step-by-step explanation:

 From the question we are told that

     The  sample size is  n  =  400

      The number of game won by team that won the coin toss at the beginning of overtime  x =  194

     The level of significance is  \alpha  =  0.10

The population proportion  is  evaluated as  

                  p  =  \frac{194}{400}

                 p  =  0.485

Since the population proportion is  0.485 \approx 0.5 which implies that the coin toss is  fair then

The Null hypothesis is  

         H_o  :  p = 0.485

and  The Alternative hypothesis is  

        H_a  :  p \ne  0.485

The test statistics is evaluated as follows

         t  = \frac{[x  + p] - [\frac{n}{2} ]}{\frac{\sqrt{n} }{2} }

substituting values  

         t  = \frac{[194  + 0.485] - [\frac{400}{2} ]}{\frac{\sqrt{400} }{2} }

         t  = -0.5515

=>     |t| =  0.5515

now the critical value of  \alpha for a two tail test(it is two tailed because we are test whether the critical value is  less than or greater than the test statistics ) is  

         t_{\alpha } = 1.645

This is usually found from the critical value table  

     Now comparing the critical values and the calculated test statistics we see that the critical value is greater than the test statistics hence the Null hypothesis is  rejected

   This  means that the coin toss is not fair  

5 0
3 years ago
Please help, real quick simple
ollegr [7]

Answer:

FG

Step-by-step explanation:

Look at the line EF.  What other lines touch it?  Clearly both FG touch it and EH touch it.

4 0
3 years ago
Use the function to evaluate the indicated expressions and simplify.
laila [671]

The function to evaluate the expression is f(x)+f (2) =4x^2+22.

The function simplify () attempts to "simplify" the input expression by using clever heuristics.

⇒ f(x)=4x^2+3

⇒ f(x+2)=4(x+2)^2+3

by using algebra formula

⇒ f(x+2)=4(x^2+4+4x)+3

⇒ f(x+2)=4x^2+16x+19

by adding f(x)+f (2)

⇒ f(x)+f(2)=4x^2+3+(4×(2)^2 )+3

⇒ f(x)+f(2)=4x^2+3+(4×4)+3

⇒ f(x)+f(2)=4x^2+3+16+3

⇒ f(x)+f(2)=4x^2+22

There is a general function called simplify () that seeks to reduce an expression to its most basic form. Simplify in simply, this function is defined. reduce module.

Hence, the function to evaluate the indicated expressions and simplify f(x)=4x^2+3, f(x+2)=4(x+2)^2+3 and f(x)+f(2)=4x^2+22.

To learn more about function, visit

brainly.com/question/17248483

#SPJ1

8 0
1 year ago
ABC OR D ??????????????
iogann1982 [59]

Answer:

trust me it is a bc i know. n

3 0
3 years ago
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