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
zhuklara [117]
3 years ago
14

The points (-3,-1) and (-3,5) are adjacent vertices of a rectangle. Two of the sides of the rectangle have a length of 8 units.

What is the length of a diagonal of the rectangle?
Mathematics
1 answer:
taurus [48]3 years ago
6 0

Answer:

The answer to your question is 10 units

Step-by-step explanation:

Data

A (-3, -1)

B (-3 , 5)

length of a side = 8 units

Process

1.- Calculate the distance between A and B

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

x1 = -3     y1 = -1

x2 = -3    y2 = 5

-Substitution

dAB = \sqrt{(-3 + 3)^{2}+ (5 + 1)^{2}}

dAB = \sqrt{0^{2} + 6^{2}}

dAB = \sqrt{36}

dAB = 6 u

2.- Calculate the diagonal using the Pythagorean theorem.

    c² = a² + b²

    c² = 6² + 8²

    c² = 36 + 64

    c² = 100

    c = 10 units

- Conclusion

The diagonal of the rectangle measures 10 units

You might be interested in
The figure represents a traffic island that has angles measuring 60°, 20°, and 100°. Enter each angle next to its correct measur
suter [353]

Answer:

possblie awnser is 1:Possible answer for Triangle 1: m∠A = 70°; m∠B = ∠55°; m∠C = 55°.

The compass marks equal lengths on both sides of ∠A; therefore, AB

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
What is the distance (in units) between points C and D? Round your answer to the nearest hundredth.
Fantom [35]
The distance is 4.24 units
3 0
4 years ago
Read 2 more answers
Choose the equation of the horizontle lime that passes through the point (-8,-7)
adoni [48]

The horizontal line has an equation: y = a, where a is any real number.

We know, the line passes through the point (-8, -7) → x = -8, y = -7.

<h3>Answer: y = -7</h3>
7 0
3 years ago
A road has a scale of 1:50 000 The length of a road on the map is 8.5cm.Work out the length of the real road in kilometres
uranmaximum [27]

The answer is 2.1 Km. Hope this helps!

5 0
3 years ago
8(3+4) - 2•8 ÷ (5-3)​
motikmotik

Answer:

48

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Other questions:
  • What’s the answer? To the question???????????
    11·1 answer
  • What are the possible dimensions for a rectangle with 12 square feet?
    11·1 answer
  • Having trouble with this problem and how to fimd the ammount if xheese she is needing to use
    13·2 answers
  • The equation d=60t gives the distance d (in miles) a car travels after t hours. Identify the independent and dependent variables
    8·2 answers
  • I need help with this one??
    8·1 answer
  • How many solutions does this system have?
    10·2 answers
  • What is the volume of the right rectangular prism?
    12·1 answer
  • Given the function g(x) = 4x - 5, compare and contrast g(2) and g(-4). Choose the statement that is true
    5·1 answer
  • Complete the table below for the function y = 5x - 2.
    13·1 answer
  • What is the volume of this cube?
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!