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Paraphin [41]
2 years ago
11

Find the distance between A(1, -1) and B(4, 3).

Mathematics
1 answer:
Greeley [361]2 years ago
8 0

Answer:

<h2>The answer is 5 units</h2>

Step-by-step explanation:

The distance between two points can be found by using the formula

d =  \sqrt{ ({x1 - x2})^{2} +  ({y1 - y2})^{2}  } \\

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

A(1, -1) and B(4, 3)

The distance between them is

|AB|  =   \sqrt{ ({1 - 4})^{2} +  ({ - 1 - 3})^{2}  }  \\  =  \sqrt{( { - 3})^{2} +  ({ - 4})^{2}  }  \\  =  \sqrt{9 + 16}  \\  =  \sqrt{25}  \:  \:  \:  \:  \:  \:  \:  \:  \\  = 5 \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \\

We have the final answer as

<h3>5 units</h3>

Hope this helps you

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The first blanks options are -2 , -1/2 , 2 , 1/2
Pie

Answer:

equation 1

y = -2x

equation 2

y = x-3

Solution to both

(1,-2)

Step-by-step explanation:

We need to get the equations of both lines

General form is;

y = mx + c

where m is slope and c is the y-intercept

Table 1

since we have a point 0,0; the y-intercept here is zero

Let us get the slope. We can do this by selecting any two points

m = (y2-y1)/(x2-x1)

m = (2-10)/(-1+5) = -8/4 = -2

So the equation of the first line is;

y = -2x

Table 2

we get the slope

m = (4+2)/(7-1) = 6/6 = 1

The partial equation is;

y = x + c

To get c, we select any two point and substitute

4 = 7 + c

c = 4-7

c = -3

So the equation is;

y = x-3

To get the solution to both systems, we equate the y

-2x = x - 3

-2x-x = -3

-3x = -3

x = -3/-3

x = 1

To get y, we substitute;

recall; y = -2x

y = -2(1)

y = -2

Solution to the system is;

(1,-2)

7 0
2 years ago
Which one of the following would be a good tool to represent data in terms of percentage of a whole?
NemiM [27]
I think the correct answer from the choices listed above is the first option. It is a pie chart that would be <span>a good tool to represent data in terms of percentage of a whole. It is a graph that makes use of a circle divided into parts that represents the proportion of the whole.</span>
6 0
2 years ago
Read 2 more answers
1 point
photoshop1234 [79]

Answer:

 b

Step-by-step explanation:

done it

5 0
2 years ago
Please help!!
inessss [21]

Answer:

2.82 seconds (3 sf)

Step-by-step explanation:

s = ut + 0.5at²

6 = -95(sin25)t + 0.5(32)t²

16t² - 40.14873487t - 6 = 0

t = 2.818501699, -0.1419193751

t is time so can't be negative.

Therefore, t = 2.82s (3 sf)

4 0
3 years ago
Someone help please make sure the answer is right :)
Andreas93 [3]

Answer:

The answer is 2

Step-by-step explanation:

The equation =69x + 2 = 140

 = 69x = 140 - 2

69x = 138

69 divided by 69 = 138 divided by 68

x = 2

             

6 0
3 years ago
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