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
matrenka [14]
2 years ago
6

Find the distance between to points given?

Mathematics
1 answer:
kondor19780726 [428]2 years ago
5 0
<h3>Answer:  29 goes in the box</h3>

===============================================

Explanation:

The two endpoints are (-3,1) and (-1,-4)

Apply the distance formula

d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}\\\\d = \sqrt{(-3-(-1))^2 + (1-(-4))^2}\\\\d = \sqrt{(-3+1)^2 + (1+4)^2}\\\\d = \sqrt{(-2)^2 + (5)^2}\\\\d = \sqrt{4 + 25}\\\\d = \sqrt{29}\\\\d \approx 5.3851648\\\\

So the approximate distance is roughly 5.38 units and the exact distance is \sqrt{29} units.

--------------

As a slight alternative, you can plot the point (-3,-4) and draw a right triangle. Then apply the pythagorean theorem to find the length of the hypotenuse. The vertical and horizontal legs are 5 and 2 units respectively.

It turns out that the distance formula is essentially a modified form of the pythagorean theorem.

You might be interested in
<img src="https://tex.z-dn.net/?f=%5Csqrt%2018-%20%5Csqrt%202" id="TexFormula1" title="\sqrt 18- \sqrt 2" alt="\sqrt 18- \sqrt 2
zimovet [89]
The answer is 2√2

√18 - √2
3 √2 - √2 = 2√2
4 0
2 years ago
Read 2 more answers
Find each measure plz help
Rashid [163]

Answer:

m∠QRS = 52°

Step-by-step explanation:

From the given figure,

In right triangles ΔRQT and ΔRST,

QT = TS = 7.5 units [Given]

RT ≅ RT [Reflexive property]

ΔRQT ≅ ΔRST [By HL theorem of congruence]

Therefore, m(∠QRT) = m(∠SRT) = 26° [CPCTC]

m(∠QRS) = 2m(∠QRT)

               = 2×(26°)

               = 52°

4 0
3 years ago
The volume of a cylinder is given by the formula y = ²h, where r is the radius of the cylinder and h is the height.
Anna11 [10]
Option 3 is the best answer
4 0
2 years ago
Use a ratio to compare this quantity 25mm : 2cm
Tema [17]
5:4 i’m not quite sure but i think it would be 5:4
4 0
3 years ago
The table below shows some properties of shapes. Properties of Shapes At least 2 sides of equal length 2 pairs of parallel sides
slava [35]
Act as if what you do makes a difference. It does.
4 0
2 years ago
Read 2 more answers
Other questions:
  • A truck left a warehouse at 1:00p.m the truck traveled 232 miles by 5:00p.m the truck continued traveling at the same average sp
    8·2 answers
  • Which of the following relations are functions?
    7·2 answers
  • Simplify <img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B4%7D%7Bx-6%7D%20%2B%20%20%5Cfrac%7B3%7D%7Bx%2B5%7D%20" id="TexFormula1"
    9·2 answers
  • Answer these five journal problems with the same 3 questions for each problem.
    5·1 answer
  • Simplify. 1/3(1−1/4)^2 please
    13·2 answers
  • 9) A cow is tethered with a rope 20 ft long. What is the maximum area the cow can graze?
    13·1 answer
  • At Mr.Hernandez's floral shop, 1 1/2 dozen roses cost $38.70. In dollars and cents what is the cost of a single rose
    8·2 answers
  • 1. Janna works at a lab with a huge circular particle accelerator. It has a radius of 4 kilometers. What is the accelerator's di
    9·1 answer
  • Help 50 points and brainliest if you help
    9·2 answers
  • What graph can be used to solve the equation 2x - 1 = x + 2?
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!