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
zzz [600]
1 year ago
7

Complete the given diagram by dragging expressions to each leg of the triangle. Then, correctly complete the equation to derive

the distance, d.
anved
d (x2-x1)
(3/2 - 3/1) ď²
-60
(X,Y)
£
d
-2
(x₂ + x1)
6-
Reset
2-
a
-2-
¦+ (y₁ - y)² =¦
(x, y₂)
(x₂-x₁)²
Next
to

Mathematics
1 answer:
Nimfa-mama [501]1 year ago
4 0

The equation to derive the distance d is \sqrt{(x2-x1)^2+(y2-y1)^2}. The lengths of the other legs of the given triangle are (y2 - y1) and (x2 - x1).

<h3>What is the formula for calculating the distance between two points?</h3>

Consider the two points (x1, y1) and (x2, y2)

The formula used for calculating the distance between the two points is

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

<h3>Calculation:</h3>

Given that,

The triangle in the graph has vertices (x1, y1), (x2, y2), and (x2, y1)

Since this triangle makes 90°, it is a right-angled triangle.

Hypotenuse = (x1, y1) to (x2, y2), Adjacent = (x1, y1) to (x2,y1), and Opposite = (x2, y1) to (x2, y2).

Consider the length of the hypotenuse = d

So, using the distance formula, the length of the hypotenuse(d) is,

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

And the lengths of the other two legs of the given triangle are,

Length of the adjacent side: (x1, y1) to (x2,y1)

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

= \sqrt{(x2-x1)^2+0}

= (x2-x1)

Length of the opposite side: (x2, y1) to (x2, y2)

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

= \sqrt{0+(y2-y1)^2}

= (y2-y1)

Therefore, the derived distances for the given triangle are:

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

Learn more about the distance between two points here:

brainly.com/question/661229

#SPJ1

You might be interested in
The midpoint of AB is M(7. – 7). If the coordinates of A are (8,-6), what are the
IRISSAK [1]

Answer: B = (6,-8)

Step-by-step explanation:

first the midpoint formula is (\frac{x1+x2}{2},\frac{y1+y2}{2})

then you take the x co-ordinate of A and substitute it into one of the x values in the first part of the formula:

\frac{8+x}{2}=7

then solve it like an equation:

8+ x=14\\x=6

then you take the y co-ordinate of A and substitute it into one of the y values in the second part of the midpoint formula:

\frac{-6+y}{2} =-7

then solve it like an equation:

-6+y=-14\\y=-8

∴ the answer is x=6, y= -8

which is expressed as a point, B(6,-8)

3 0
3 years ago
if something starts out at costing $500, and then is marked down by 25% on each of three occasions, what is the final price?
Afina-wow [57]
$125 because when you do $500x0.75 it equals $375. $500-375=$125
5 0
3 years ago
Read 2 more answers
Plz Helppp meeee assapppp
Gwar [14]

Given:

A right angled triangle.

To find:

The value of x.

Solution:

We have,

Base = x

Hypotenuse = \sqrt{5}

In a right angle triangle,

\cos \theta = \dfrac{Base}{Hypotenuse}

For the given triangle,

\cos 45^\circ= \dfrac{x}{\sqrt{5}}

\dfrac{1}{\sqrt{2}}= \dfrac{x}{\sqrt{5}}

Multiply both sides by \sqrt{5}.

\dfrac{\sqrt{5}}{\sqrt{2}}= x

\dfrac{\sqrt{5}}{\sqrt{2}}\times \dfrac{\sqrt{2}}{\sqrt{2}}= x

\dfrac{\sqrt{10}}{2}= x

Therefore, the required value of x is \dfrac{\sqrt{10}}{2}.

8 0
2 years ago
Kristina, Malachi, and Susan are standing in line at Target. Susan is (2y) feet from the front of the line. Malachi is (y+14) fe
Mashcka [7]

Answer:

  b.  Segment Addition Postulate

Step-by-step explanation:

Since we're talking about distances along a line, the only answer choice that makes any sense is ...

  Segment Addition Postulate

3 0
3 years ago
0.005680 is how much greater than 0.0004359
Korvikt [17]

Answer: 0.0052441

Step-by-step explanation:

To see how much greater it is you have to subtract the two numbers. 0.005680-0.0004359=0.0052441  it is 0.0052441 greater

3 0
3 years ago
Other questions:
  • 2357111317 what is the next number
    14·1 answer
  • There are 90 sixth graders at Wilson Middle School. Only 50% of the sixth graders will attend the morning assembly. How many six
    11·2 answers
  • If you bought something in Colorado for $80, you would be charged $2.32 in state sales tax. What is the state sales tax in Color
    11·2 answers
  • Susan enlarged to scale a rectangle with a height of 4 cm and length of 11 cm on her computer. The length of the new rectangle i
    15·1 answer
  • How many solutions does the equation have?
    15·1 answer
  • Which sequence could be partially defined by the recursive formula f (n + 1) = f(n) + 2.5 for n ≥ 1?
    11·2 answers
  • Given that <br> y<br> = 8 cm and <br> θ<br> = 34°, work out <br> x<br> rounded to 1 DP.
    15·1 answer
  • Find x.<br> (Please show steps!)
    11·1 answer
  • What is the area of this figure?
    6·1 answer
  • Multiply. (3 - 4i)(5 + 2i)
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!