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erastova [34]
3 years ago
12

What is the distance between the building B (4, 6) and the station K (–6, –2)? Use a calculator to round to the nearest tenth.

Mathematics
1 answer:
Svetllana [295]3 years ago
5 0

Answer:

The answer is

<h2>12.8 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

B (4, 6) and K (–6, –2)

The distance is

|BK|  =  \sqrt{ ({4 + 6})^{2}  +  ({6 + 2})^{2} }  \\  =  \sqrt{ {10}^{2} +  {8}^{2}  }  \:  \:  \:  \:  \:  \:  \:  \:  \:  \\  =  \sqrt{100 + 64}  \:  \:  \:  \:  \:  \:  \:  \:  \:  \\  =  \sqrt{164}  \\  = 2 \sqrt{41}  \\  = 12.80

We have the final answer as

<h3>12.8 to the nearest tenth</h3>

Hope this helps you

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What is the distance between the points (21 , 13) and (3 , 13) in the coordinate plane?
Oxana [17]

Answer:

\displaystyle d = 18

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)

<u>Algebra II</u>

  • Distance Formula: \displaystyle d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify</em>

Point (21, 13)

Point (3, 13)

<u>Step 2: Find distance </u><em><u>d</u></em>

Simply plug in the 2 coordinates into the distance formula to find distance <em>d</em>

  1. Substitute in points [Distance Formula]:                                                         \displaystyle d = \sqrt{(3-21)^2+(13-13)^2}
  2. [√Radical] (Parenthesis) Subtract:                                                                   \displaystyle d = \sqrt{(-18)^2+(0)^2}
  3. [√Radical] Evaluate exponents:                                                                       \displaystyle d = \sqrt{324+0}
  4. [√Radical] Add:                                                                                                 \displaystyle d = \sqrt{324}
  5. [√Radical] Evaluate:                                                                                          \displaystyle d = 18
5 0
3 years ago
Write the equation of the graph below in slope intercept form.
Murljashka [212]

Answer:

y2- y1 over

x2 -x2

- 3 - 0 =  - 3

0 - 2 =  - 2

Step-by-step explanation:

slope is m =

m =   - \frac{3}{2}

use the -3 for b and you get

y =  -  \frac{3}{2} x - 3

slope intercept form

6 0
2 years ago
What is the length of AC?
Alenkasestr [34]
So in order to find line AC you must find line AD and DC then plus them together.

to find AD use Pythagoras theorem
a^2 = c^2 - b^2
AD^2 = 7.5^2 - 6.5^2
AD^2 = 56.25 - 42.25
AD^2 = 14
square root both sides to get rid of the ^2
AD ≈ 3.7 or 3.74

Do the same for DC
DC^2 = 10^2 - 6.5^2
DC^2 = 100 - 42.25
DC^2 = 57.75
DC ≈ 7.6

now plus AD and DC which should give u 11.3
5 0
3 years ago
Sushil, Alex and Peter share some sweets in the ratio 3:2:5. Sushil gets 24 sweets. How many sweets are there altogether?
Goshia [24]
80 because if you divide 24 by 3 and multiply it by 2, you get the second value (16), then divide 24 by 3 and multiply it by five, you get the third value (40). Then you add all three values (24,16,40) and you get 80
5 0
3 years ago
Read 2 more answers
here is a image. 6th grade problem i in 6th grade. Please do part A and part B for problem 1 and also please do problem 2 so ASA
Andrej [43]

I have no idea what to do in problem 1

but I will do problem 2

A. 2⁵ = 32 (2×2×2×2×2=32)

B. 4³/2 = 32 (4×4×4=64 and then 64÷2=32

the others are not equal to 32

3 0
2 years ago
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