1. The document discusses finding the midpoint and distance between points in a coordinate plane. It provides examples and steps for using the midpoint formula and distance formula.
2. The midpoint formula is used to find the midpoint between two points by taking the average of the x-coordinates and y-coordinates. The distance formula and Pythagorean theorem can both be used to find the distance between points.
3. Examples include finding midpoints and distances between points, as well as applications to sports such as finding the distance of a throw between bases in a baseball diamond.
The Sum of Two Functions
The Difference of Two functions
The Product of Two Functions
The Quotient of Two Functions
The Product of A constant and a Function
Semi - Detailed Lesson Plan about Rectangular Coordinate System. There is a lot of activities here. Try to send me a message so that I could send you a worksheet.
References are from Google.com.
CONVERSION OF UNITS OF MEASUREMENTS.pptxLiezlBontilao
CONVERSION OF UNITS OF MEASUREMENTS
Conversion of unit of Measurements for Length
1) Identify the unit you are starting with.
2) Identify the unit you want to end with.
3) Find the conversion factor/s that will convert the starting unit to ending unit. Using the fractional form the unit you want to end will be the numerator the unit to be cancelled will be the denominator.
4) Set up the Mathematical expression so that all units except the unit you want to end with, will not be cancelled.
Convert 36 inches to feet.
Solution:
Step 1: inches
Step 2 : feet
Step 3 : (1 𝑓𝑜𝑜𝑡)/(12 𝑖𝑛𝑐ℎ𝑒𝑠)
Step 4: 36 inches x (1 𝑓𝑜𝑜𝑡)/(12 𝑖𝑛𝑐ℎ𝑒𝑠) = 3 feet
Step 5: Therefore, 36 in = 3 feet
The Sum of Two Functions
The Difference of Two functions
The Product of Two Functions
The Quotient of Two Functions
The Product of A constant and a Function
Semi - Detailed Lesson Plan about Rectangular Coordinate System. There is a lot of activities here. Try to send me a message so that I could send you a worksheet.
References are from Google.com.
CONVERSION OF UNITS OF MEASUREMENTS.pptxLiezlBontilao
CONVERSION OF UNITS OF MEASUREMENTS
Conversion of unit of Measurements for Length
1) Identify the unit you are starting with.
2) Identify the unit you want to end with.
3) Find the conversion factor/s that will convert the starting unit to ending unit. Using the fractional form the unit you want to end will be the numerator the unit to be cancelled will be the denominator.
4) Set up the Mathematical expression so that all units except the unit you want to end with, will not be cancelled.
Convert 36 inches to feet.
Solution:
Step 1: inches
Step 2 : feet
Step 3 : (1 𝑓𝑜𝑜𝑡)/(12 𝑖𝑛𝑐ℎ𝑒𝑠)
Step 4: 36 inches x (1 𝑓𝑜𝑜𝑡)/(12 𝑖𝑛𝑐ℎ𝑒𝑠) = 3 feet
Step 5: Therefore, 36 in = 3 feet
* Find the distance between two points
* Find the midpoint of two given points
* Find the coordinates of an endpoint given one endpoint and a midpoint
* Find the coordinates of a point a fractional distance from one end of a segment
Mathematics (from Greek μάθημα máthēma, “knowledge, study, learning”) is the study of topics such as quantity (numbers), structure, space, and change. There is a range of views among mathematicians and philosophers as to the exact scope and definition of mathematics
Find the distance between two points
Find the midpoint between two points
Find the coordinates of a point a fractional distance from one end of a segment
Essentials of Automations: The Art of Triggers and Actions in FMESafe Software
In this second installment of our Essentials of Automations webinar series, we’ll explore the landscape of triggers and actions, guiding you through the nuances of authoring and adapting workspaces for seamless automations. Gain an understanding of the full spectrum of triggers and actions available in FME, empowering you to enhance your workspaces for efficient automation.
We’ll kick things off by showcasing the most commonly used event-based triggers, introducing you to various automation workflows like manual triggers, schedules, directory watchers, and more. Plus, see how these elements play out in real scenarios.
Whether you’re tweaking your current setup or building from the ground up, this session will arm you with the tools and insights needed to transform your FME usage into a powerhouse of productivity. Join us to discover effective strategies that simplify complex processes, enhancing your productivity and transforming your data management practices with FME. Let’s turn complexity into clarity and make your workspaces work wonders!
Communications Mining Series - Zero to Hero - Session 1DianaGray10
This session provides introduction to UiPath Communication Mining, importance and platform overview. You will acquire a good understand of the phases in Communication Mining as we go over the platform with you. Topics covered:
• Communication Mining Overview
• Why is it important?
• How can it help today’s business and the benefits
• Phases in Communication Mining
• Demo on Platform overview
• Q/A
GraphRAG is All You need? LLM & Knowledge GraphGuy Korland
Guy Korland, CEO and Co-founder of FalkorDB, will review two articles on the integration of language models with knowledge graphs.
1. Unifying Large Language Models and Knowledge Graphs: A Roadmap.
https://arxiv.org/abs/2306.08302
2. Microsoft Research's GraphRAG paper and a review paper on various uses of knowledge graphs:
https://www.microsoft.com/en-us/research/blog/graphrag-unlocking-llm-discovery-on-narrative-private-data/
GraphSummit Singapore | The Art of the Possible with Graph - Q2 2024Neo4j
Neha Bajwa, Vice President of Product Marketing, Neo4j
Join us as we explore breakthrough innovations enabled by interconnected data and AI. Discover firsthand how organizations use relationships in data to uncover contextual insights and solve our most pressing challenges – from optimizing supply chains, detecting fraud, and improving customer experiences to accelerating drug discoveries.
GDG Cloud Southlake #33: Boule & Rebala: Effective AppSec in SDLC using Deplo...James Anderson
Effective Application Security in Software Delivery lifecycle using Deployment Firewall and DBOM
The modern software delivery process (or the CI/CD process) includes many tools, distributed teams, open-source code, and cloud platforms. Constant focus on speed to release software to market, along with the traditional slow and manual security checks has caused gaps in continuous security as an important piece in the software supply chain. Today organizations feel more susceptible to external and internal cyber threats due to the vast attack surface in their applications supply chain and the lack of end-to-end governance and risk management.
The software team must secure its software delivery process to avoid vulnerability and security breaches. This needs to be achieved with existing tool chains and without extensive rework of the delivery processes. This talk will present strategies and techniques for providing visibility into the true risk of the existing vulnerabilities, preventing the introduction of security issues in the software, resolving vulnerabilities in production environments quickly, and capturing the deployment bill of materials (DBOM).
Speakers:
Bob Boule
Robert Boule is a technology enthusiast with PASSION for technology and making things work along with a knack for helping others understand how things work. He comes with around 20 years of solution engineering experience in application security, software continuous delivery, and SaaS platforms. He is known for his dynamic presentations in CI/CD and application security integrated in software delivery lifecycle.
Gopinath Rebala
Gopinath Rebala is the CTO of OpsMx, where he has overall responsibility for the machine learning and data processing architectures for Secure Software Delivery. Gopi also has a strong connection with our customers, leading design and architecture for strategic implementations. Gopi is a frequent speaker and well-known leader in continuous delivery and integrating security into software delivery.
LF Energy Webinar: Electrical Grid Modelling and Simulation Through PowSyBl -...DanBrown980551
Do you want to learn how to model and simulate an electrical network from scratch in under an hour?
Then welcome to this PowSyBl workshop, hosted by Rte, the French Transmission System Operator (TSO)!
During the webinar, you will discover the PowSyBl ecosystem as well as handle and study an electrical network through an interactive Python notebook.
PowSyBl is an open source project hosted by LF Energy, which offers a comprehensive set of features for electrical grid modelling and simulation. Among other advanced features, PowSyBl provides:
- A fully editable and extendable library for grid component modelling;
- Visualization tools to display your network;
- Grid simulation tools, such as power flows, security analyses (with or without remedial actions) and sensitivity analyses;
The framework is mostly written in Java, with a Python binding so that Python developers can access PowSyBl functionalities as well.
What you will learn during the webinar:
- For beginners: discover PowSyBl's functionalities through a quick general presentation and the notebook, without needing any expert coding skills;
- For advanced developers: master the skills to efficiently apply PowSyBl functionalities to your real-world scenarios.
Sudheer Mechineni, Head of Application Frameworks, Standard Chartered Bank
Discover how Standard Chartered Bank harnessed the power of Neo4j to transform complex data access challenges into a dynamic, scalable graph database solution. This keynote will cover their journey from initial adoption to deploying a fully automated, enterprise-grade causal cluster, highlighting key strategies for modelling organisational changes and ensuring robust disaster recovery. Learn how these innovations have not only enhanced Standard Chartered Bank’s data infrastructure but also positioned them as pioneers in the banking sector’s adoption of graph technology.
A tale of scale & speed: How the US Navy is enabling software delivery from l...sonjaschweigert1
Rapid and secure feature delivery is a goal across every application team and every branch of the DoD. The Navy’s DevSecOps platform, Party Barge, has achieved:
- Reduction in onboarding time from 5 weeks to 1 day
- Improved developer experience and productivity through actionable findings and reduction of false positives
- Maintenance of superior security standards and inherent policy enforcement with Authorization to Operate (ATO)
Development teams can ship efficiently and ensure applications are cyber ready for Navy Authorizing Officials (AOs). In this webinar, Sigma Defense and Anchore will give attendees a look behind the scenes and demo secure pipeline automation and security artifacts that speed up application ATO and time to production.
We will cover:
- How to remove silos in DevSecOps
- How to build efficient development pipeline roles and component templates
- How to deliver security artifacts that matter for ATO’s (SBOMs, vulnerability reports, and policy evidence)
- How to streamline operations with automated policy checks on container images
Why You Should Replace Windows 11 with Nitrux Linux 3.5.0 for enhanced perfor...SOFTTECHHUB
The choice of an operating system plays a pivotal role in shaping our computing experience. For decades, Microsoft's Windows has dominated the market, offering a familiar and widely adopted platform for personal and professional use. However, as technological advancements continue to push the boundaries of innovation, alternative operating systems have emerged, challenging the status quo and offering users a fresh perspective on computing.
One such alternative that has garnered significant attention and acclaim is Nitrux Linux 3.5.0, a sleek, powerful, and user-friendly Linux distribution that promises to redefine the way we interact with our devices. With its focus on performance, security, and customization, Nitrux Linux presents a compelling case for those seeking to break free from the constraints of proprietary software and embrace the freedom and flexibility of open-source computing.
Observability Concepts EVERY Developer Should Know -- DeveloperWeek Europe.pdfPaige Cruz
Monitoring and observability aren’t traditionally found in software curriculums and many of us cobble this knowledge together from whatever vendor or ecosystem we were first introduced to and whatever is a part of your current company’s observability stack.
While the dev and ops silo continues to crumble….many organizations still relegate monitoring & observability as the purview of ops, infra and SRE teams. This is a mistake - achieving a highly observable system requires collaboration up and down the stack.
I, a former op, would like to extend an invitation to all application developers to join the observability party will share these foundational concepts to build on:
Unlocking Productivity: Leveraging the Potential of Copilot in Microsoft 365, a presentation by Christoforos Vlachos, Senior Solutions Manager – Modern Workplace, Uni Systems
Removing Uninteresting Bytes in Software FuzzingAftab Hussain
Imagine a world where software fuzzing, the process of mutating bytes in test seeds to uncover hidden and erroneous program behaviors, becomes faster and more effective. A lot depends on the initial seeds, which can significantly dictate the trajectory of a fuzzing campaign, particularly in terms of how long it takes to uncover interesting behaviour in your code. We introduce DIAR, a technique designed to speedup fuzzing campaigns by pinpointing and eliminating those uninteresting bytes in the seeds. Picture this: instead of wasting valuable resources on meaningless mutations in large, bloated seeds, DIAR removes the unnecessary bytes, streamlining the entire process.
In this work, we equipped AFL, a popular fuzzer, with DIAR and examined two critical Linux libraries -- Libxml's xmllint, a tool for parsing xml documents, and Binutil's readelf, an essential debugging and security analysis command-line tool used to display detailed information about ELF (Executable and Linkable Format). Our preliminary results show that AFL+DIAR does not only discover new paths more quickly but also achieves higher coverage overall. This work thus showcases how starting with lean and optimized seeds can lead to faster, more comprehensive fuzzing campaigns -- and DIAR helps you find such seeds.
- These are slides of the talk given at IEEE International Conference on Software Testing Verification and Validation Workshop, ICSTW 2022.
1. Holt McDougal Geometry
1-6
Midpoint and Distance
in the Coordinate Plane
Drill #11 9/17/12
1. Graph A (–2, 3) and B (1, 0).
2. Find CD. 8
3. Find the coordinate of the midpoint of CD. –2
4. Simplify.
4
2. Holt McDougal Geometry
1-6
Midpoint and Distance
in the Coordinate Plane
Develop and apply the formula for midpoint.
Use the Distance Formula and the
Pythagorean Theorem to find the distance
between two points.
Objectives
4. Holt McDougal Geometry
1-6
Midpoint and Distance
in the Coordinate Plane
A coordinate plane is a plane that is
divided into four regions by a horizontal
line (x-axis) and a vertical line (y-axis) .
The location, or coordinates, of a point are
given by an ordered pair (x, y).
5. Holt McDougal Geometry
1-6
Midpoint and Distance
in the Coordinate Plane
You can find the midpoint of a segment by
using the coordinates of its endpoints.
Calculate the average of the x-coordinates
and the average of the y-coordinates of the
endpoints.
7. Holt McDougal Geometry
1-6
Midpoint and Distance
in the Coordinate Plane
To make it easier to picture the problem, plot
the segment’s endpoints on a coordinate
plane.
Helpful Hint
8. Holt McDougal Geometry
1-6
Midpoint and Distance
in the Coordinate Plane
Example 1: Finding the Coordinates of a Midpoint
Find the coordinates of the midpoint of PQ
with endpoints P(–8, 3) and Q(–2, 7).
= (–5, 5)
9. Holt McDougal Geometry
1-6
Midpoint and Distance
in the Coordinate Plane
Check It Out! Example 1
Find the coordinates of the midpoint of EF
with endpoints E(–2, 3) and F(5, –3).
10. Holt McDougal Geometry
1-6
Midpoint and Distance
in the Coordinate Plane
Example 2: Finding the Coordinates of an Endpoint
M is the midpoint of XY. X has coordinates
(2, 7) and M has coordinates (6, 1). Find
the coordinates of Y.
Step 1 Let the coordinates of Y equal (x, y).
Step 2 Use the Midpoint Formula:
11. Holt McDougal Geometry
1-6
Midpoint and Distance
in the Coordinate Plane
Example 2 Continued
Step 3 Find the x-coordinate.
Set the coordinates equal.
Multiply both sides by 2.
12 = 2 + x Simplify.
– 2 –2
10 = x
Subtract.
Simplify.
2 = 7 + y
– 7 –7
–5 = y
The coordinates of Y are (10, –5).
12. Holt McDougal Geometry
1-6
Midpoint and Distance
in the Coordinate Plane
Check It Out! Example 2
S is the midpoint of RT. R has coordinates
(–6, –1), and S has coordinates (–1, 1). Find
the coordinates of T.
Step 1 Let the coordinates of T equal (x, y).
Step 2 Use the Midpoint Formula:
13. Holt McDougal Geometry
1-6
Midpoint and Distance
in the Coordinate Plane
Check It Out! Example 2 Continued
Step 3 Find the x-coordinate.
Set the coordinates equal.
Multiply both sides by 2.
–2 = –6 + x Simplify.
+ 6 +6
4 = x
Add.
Simplify.
2 = –1 + y
+ 1 + 1
3 = y
The coordinates of T are (4, 3).
14. Holt McDougal Geometry
1-6
Midpoint and Distance
in the Coordinate Plane
The Ruler Postulate can be used to find the distance
between two points on a number line. The Distance
Formula is used to calculate the distance between
two points in a coordinate plane.
15. Holt McDougal Geometry
1-6
Midpoint and Distance
in the Coordinate Plane
Example 3: Using the Distance Formula
Find FG and JK.
Then determine whether FG JK.
Step 1 Find the
coordinates of each point.
F(1, 2), G(5, 5), J(–
4, 0), K(–1, –3)
17. Holt McDougal Geometry
1-6
Midpoint and Distance
in the Coordinate Plane
Check It Out! Example 3
Find EF and GH. Then determine if EF GH.
Step 1 Find the coordinates of
each point.
E(–2, 1), F(–5, 5), G(–1, –
2), H(3, 1)
19. Holt McDougal Geometry
1-6
Midpoint and Distance
in the Coordinate Plane
You can also use the Pythagorean Theorem to
find the distance between two points in a
coordinate plane. You will learn more about the
Pythagorean Theorem in Chapter 5.
In a right triangle, the two sides that form the
right angle are the legs. The side across from the
right angle that stretches from one leg to the
other is the hypotenuse. In the diagram, a and b
are the lengths of the shorter sides, or legs, of the
right triangle. The longest side is called the
hypotenuse and has length c.
21. Holt McDougal Geometry
1-6
Midpoint and Distance
in the Coordinate Plane
Example 4: Finding Distances in the Coordinate Plane
Use the Distance Formula and the
Pythagorean Theorem to find the distance, to
the nearest tenth, from D(3, 4) to E(–2, –5).
22. Holt McDougal Geometry
1-6
Midpoint and Distance
in the Coordinate Plane
Example 4 Continued
Method 1
Use the Distance Formula. Substitute the
values for the coordinates of D and E into the
Distance Formula.
23. Holt McDougal Geometry
1-6
Midpoint and Distance
in the Coordinate Plane
Method 2
Use the Pythagorean Theorem. Count the units for
sides a and b.
Example 4 Continued
a = 5 and b = 9.
c2 = a2 + b2
= 52 + 92
= 25 + 81
= 106
c = 10.3
24. Holt McDougal Geometry
1-6
Midpoint and Distance
in the Coordinate Plane
Check It Out! Example 4a
Use the Distance Formula and the
Pythagorean Theorem to find the
distance, to the nearest tenth, from R to S.
R(3, 2) and S(–3, –1)
Method 1
Use the Distance Formula. Substitute the
values for the coordinates of R and S into the
Distance Formula.
25. Holt McDougal Geometry
1-6
Midpoint and Distance
in the Coordinate Plane
Check It Out! Example 4a Continued
Use the Distance Formula and the
Pythagorean Theorem to find the
distance, to the nearest tenth, from R to S.
R(3, 2) and S(–3, –1)
26. Holt McDougal Geometry
1-6
Midpoint and Distance
in the Coordinate Plane
Method 2
Use the Pythagorean Theorem. Count the units for
sides a and b.
a = 6 and b = 3.
c2 = a2 + b2
= 62 + 32
= 36 + 9
= 45
Check It Out! Example 4a Continued
27. Holt McDougal Geometry
1-6
Midpoint and Distance
in the Coordinate Plane
Check It Out! Example 4b
Use the Distance Formula and the
Pythagorean Theorem to find the
distance, to the nearest tenth, from R to S.
R(–4, 5) and S(2, –1)
Method 1
Use the Distance Formula. Substitute the
values for the coordinates of R and S into the
Distance Formula.
28. Holt McDougal Geometry
1-6
Midpoint and Distance
in the Coordinate Plane
Check It Out! Example 4b Continued
Use the Distance Formula and the
Pythagorean Theorem to find the
distance, to the nearest tenth, from R to S.
R(–4, 5) and S(2, –1)
29. Holt McDougal Geometry
1-6
Midpoint and Distance
in the Coordinate Plane
Method 2
Use the Pythagorean Theorem. Count the units for
sides a and b.
a = 6 and b = 6.
c2 = a2 + b2
= 62 + 62
= 36 + 36
= 72
Check It Out! Example 4b Continued
30. Holt McDougal Geometry
1-6
Midpoint and Distance
in the Coordinate Plane
A player throws the ball
from first base to a point
located between third
base and home plate and
10 feet from third base.
What is the distance of
the throw, to the nearest
tenth?
Example 5: Sports Application
31. Holt McDougal Geometry
1-6
Midpoint and Distance
in the Coordinate Plane
Set up the field on a coordinate plane so that home
plate H is at the origin, first base F has coordinates
(90, 0), second base S has coordinates (90, 90), and
third base T has coordinates (0, 90).
The target point P of the throw has coordinates (0, 80).
The distance of the throw is FP.
Example 5 Continued
32. Holt McDougal Geometry
1-6
Midpoint and Distance
in the Coordinate Plane
Check It Out! Example 5
The center of the pitching
mound has coordinates
(42.8, 42.8). When a
pitcher throws the ball from
the center of the mound to
home plate, what is the
distance of the throw, to
the nearest tenth?
60.5 ft
33. Holt McDougal Geometry
1-6
Midpoint and Distance
in the Coordinate Plane
Lesson Quiz: Part I
(17, 13)
(3, 3)
12.7
3. Find the distance, to the nearest tenth, between
S(6, 5) and T(–3, –4).
4. The coordinates of the vertices of ∆ABC are
A(2, 5), B(6, –1), and C(–4, –2). Find the perimeter
of ∆ABC, to the nearest tenth.26.5
1. Find the coordinates of the midpoint of MN with
endpoints M(-2, 6) and N(8, 0).
2. K is the midpoint of HL. H has coordinates (1, –
7), and K has coordinates (9, 3). Find the
coordinates of L.
34. Holt McDougal Geometry
1-6
Midpoint and Distance
in the Coordinate Plane
Lesson Quiz: Part II
5. Find the lengths of AB and CD and determine
whether they are congruent.