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
Diano4ka-milaya [45]
3 years ago
6

What is the distance between A(-8, 4) and B(4, -1)?

Mathematics
2 answers:
Anettt [7]3 years ago
7 0

Answer:

The distance between A(-8, 4) and B(4, -1) is 13 units.

Step-by-step explanation:

To find the distance between any two points, we can use the distance formula given by:

\displaystyle d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2

We have the two points A(-8, 4) and B(4, -1). Let A(-8, 4) be (<em>x₁, y₁</em>) and let B(4, -1) be (<em>x₂, y₂</em>). Substitute:

d=\sqrt{(4-(-8))^2+(-1-4)^2}

Evaluate:

d=\sqrt{(12)^2+(-5)^2}

So:

d=\sqrt{144+25}=\sqrt{169}=13\text{ units}

The distance between A(-8, 4) and B(4, -1) is 13 units.

Nostrana [21]3 years ago
7 0

___________________________________

<h2>Problem:</h2>

  • What is the distance between A(-8,4) and B(4,-1)

<h2>Given:</h2>

\quad\quad\quad\quad\tt{A.) x\tiny{1}\small{=-8}, y\tiny{1}\small{=4}}

\quad\quad\quad\quad\tt{B.) x\tiny{2}\small{=4}, y\tiny{2}\small{=-1}}

<h2>Formula for distance (d):</h2>

\quad\quad\quad\quad\tt{d =  \sqrt{(x  \tiny{2} \small{ - x \tiny{1} \small {)}^{2} + (y \tiny{2} \small{ - y \tiny{1}  \small{)}^{2} } }}}

<h2>Solution:</h2>

\quad\quad\quad\quad\tt{d =  \sqrt{(4 - \small{ (- 8}{))}^{2}  + ( \small{- 1)}\small{ -  {4)}}^{2} }}

\quad\quad\quad\quad\tt{d =  \sqrt{ ( {12)}^{2}  + {( -5)}^{2} }}

\quad\quad\quad\quad\tt{d =  \sqrt{  {144}  + {25}}}

\quad\quad\quad\quad\tt{d =  \sqrt{ 169}}

\quad\quad\quad\quad\tt{d =  13}

<h2>So the final answer is:</h2>

\quad\quad\quad\quad\boxed{\boxed{\tt{\color{magenta}d =  13}}}

___________________________________

#CarryOnLearning

✍︎ C.Rose❀

You might be interested in
If g(x) = x2 + 2, find g(3). 9 8 11 6
cestrela7 [59]

Answer

Find out the value of g(3)  by using the function g(x) = x² + 2 given in the question .

To proof

The function given in the question is

g(x) = x² + 2

Take  x = 3

put x = 3  in the  g(x) = x² + 2

than it becomes

g(3) = 3² + 2

solving the above

we get

g(3) = 9 + 2

g(3) = 11

Thus g(3) = 11  and option (c) is correct .

Hence proved


7 0
3 years ago
Read 2 more answers
Triangle rigidity means that a triangle cannot be deformed without changing its
ladessa [460]
A property of triangles<span> that states that if the side lengths of a </span>triangle<span> are fixed, the </span>triangle can have only one shape.The triangle is the strongest shape due to the rigidity of its sides, which allows them to transfer force more evenly through their sides than other shapes.<span> Triangles are used extensively in the construction of buildings and bridges.</span><span> triangle cannot be deformed without changing its joints</span>
7 0
3 years ago
Angle (the question mark), (Write the<br> number only)<br> ?<br> 77<br> 124°
yKpoI14uk [10]

47. my answer needs to be at least 20 characters long there u go

7 0
3 years ago
Read 2 more answers
A telephone company charges its customers per minute to make long-distance calls. The cost, c, can be represented by c = .12m wh
Ksivusya [100]

Answer:

m ≥ 0

Step-by-step explanation:

Since the cost is represented by c = 0.12m, the domain should be a positive number, this is because number of minutes can't be written in negative. Therefore, the most reasonable number for the domain would be the set of positive whole numbers which means, m≥0.

7 0
3 years ago
If there are 3 basketballs for every 7 students at Wilder, then how many students are there if the store room has 49 basketballs
Doss [256]

Answer:

113 is correct because 49 divided by 3 is 16.33. 16.33 multiplied by 7 is 113

Step-by-step explanation:

3 0
3 years ago
Other questions:
  • Grace has a segment with endpoints A(3, 2) and B(6, 11) that is partitioned by a point C such that AC and BC form a 2:3 ratio. S
    13·2 answers
  • What is x+b=3? ( b is a constant)
    8·1 answer
  • (1-5q) - (2.5s + 8 ) - (0.5q + 6 )
    15·2 answers
  • Kirima is building a wall for her snow fort. She first makes a firm base out of snow, and then piles uniformly sized blocks of s
    13·1 answer
  • Maria bought a blouse on sale for 20% off. The sale price was $28.76. What was the original price? Write an equation to model th
    8·1 answer
  • A triangle has vertices A(0,0),B(-3,6),and C(0,9). What are the coordinates of the triangle after a dilation with a scale factor
    7·1 answer
  • A copy was made of Sally's autograph. The copy resize the photo so that it measures 4 inches wide by 7 inches long. If the actua
    13·1 answer
  • Write an expression using only a whole number base
    7·1 answer
  • -2+2x=4 help meeeeeeeeeeeeeeeeeeeeee
    13·1 answer
  • 4 +62 x :2<br> If b = 4 and c = 10, what is the value of the expression?
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!