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aivan3 [116]
3 years ago
12

What is the distance between (-1,4) and (2,0)

Mathematics
1 answer:
Ivahew [28]3 years ago
7 0

Answer: 5

The Distance between the coordinates of two points is measured by distance formula.

Step-by-step explanation:

The Distance between the coordinates of two points P(x1,y1) and Q(x2,y2) is measured by

Distance PQ= \sqrt{}(x2-x1)²+(y2-y1)²

So, the distance between (-1,4 ) and (2,0) can be calculated by

Distance= \sqrt{}(2-(-1))²+(0-4)²

              = \sqrt{}(3)²+(-4)²

              =\sqrt{}9+16 = \sqrt{}25                                                  as    \sqrt{}25 = 5

Distance = 5

So the distance between the two coordinates is 5.

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11Alexandr11 [23.1K]

Statement 3 and 4 are true as Figures 1 and 2 are not congruent and Figures 1 and 3 are not congruent

<h3>What are Congruent Figures ?</h3>

The figures that are similar in shape and size or can be mapped into one another , such figures are called Congruent Figures.

The graph has been plotted on the basis of given data.

The plot can be seen in the graph attached with the answer.

The statements that are true according to the given data is

Statement 3 and 4 are true as

Figures 1 and 2 are not congruent because figure 1 cannot be mapped onto figure 2 using a sequence of rigid transformations.

Figures 1 and 3 are not congruent because figure 1 cannot be mapped onto figure 3 using a sequence of rigid transformations.

To know more about Congruent Figures

brainly.com/question/12132062

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4 0
2 years ago
In Exercise sketch the graph of the function.<br> f(x) = ex + 3
Tju [1.3M]

Answer:

f(x) = e^x + 3

Step-by-step explanation:

We are given the following function in the question:

f(x) = e^x + 3

We have to graph this function.

Properties of given function are:

  • e is a constant and have a value of e = 2.718281828....
  • The function does not pass through origin
  • At x = 0, f(x) = 4
  • The domain for the given function is all real numbers.
  • The range of the given function is (3, \infty)

The attached image shows the graph for given function.

5 0
3 years ago
What is the value of the shown expression? 33 x 3-2 A) -54 B) -243 C) 243 D) 3
alex41 [277]

We have the following general rule for exponents:

a^n\cdot a^m=a^{n+m}

then, in this case we have the following:

3^3\cdot3^{-2}=3^{3+(-2)}=3^{3-2}=3^1=3

therefore, the answer is 3

4 0
1 year ago
Help please!<br> Solve the proportion for x.
Dovator [93]
1+3x /4= 5/2
1+3x = 5*4/2
1+3x =10
3x =9
x = 3




8 0
4 years ago
Read 2 more answers
What is -7 + 1/3 plz help and thanks ​
Ugo [173]

Answer:

-6 2/3

Step-by-step explanation:

5 0
3 years ago
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