This document contains notes and examples related to reviewing concepts involving quadratics and radical operations:
- There is a review scheduled for the quadratic formula tomorrow and examples are provided of using the formula to solve quadratic equations.
- Examples are also given of simplifying radical expressions through combining like terms, rationalizing denominators containing radicals, and adding/subtracting radical expressions.
- Notes cover properties of square roots, simplifying radicals with variables, rationalizing binomial denominators, and solving word problems involving areas of squares using radicals.
Solving Linear Equations - GRADE 8 MATHEMATICSCoreAces
To get/buy a soft copy, please send a request to queenyedda@gmail.com
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Solving Linear Equations - GRADE 8 MATHEMATICSCoreAces
To get/buy a soft copy, please send a request to queenyedda@gmail.com
Inclusions of the file attachment:
* Fonts used
* Soft copy of the WHOLE ppt slides with effects
* Complete activities
PRICE: P200 only
Connector Corner: Automate dynamic content and events by pushing a buttonDianaGray10
Here is something new! In our next Connector Corner webinar, we will demonstrate how you can use a single workflow to:
Create a campaign using Mailchimp with merge tags/fields
Send an interactive Slack channel message (using buttons)
Have the message received by managers and peers along with a test email for review
But there’s more:
In a second workflow supporting the same use case, you’ll see:
Your campaign sent to target colleagues for approval
If the “Approve” button is clicked, a Jira/Zendesk ticket is created for the marketing design team
But—if the “Reject” button is pushed, colleagues will be alerted via Slack message
Join us to learn more about this new, human-in-the-loop capability, brought to you by Integration Service connectors.
And...
Speakers:
Akshay Agnihotri, Product Manager
Charlie Greenberg, Host
Accelerate your Kubernetes clusters with Varnish CachingThijs Feryn
A presentation about the usage and availability of Varnish on Kubernetes. This talk explores the capabilities of Varnish caching and shows how to use the Varnish Helm chart to deploy it to Kubernetes.
This presentation was delivered at K8SUG Singapore. See https://feryn.eu/presentations/accelerate-your-kubernetes-clusters-with-varnish-caching-k8sug-singapore-28-2024 for more details.
Key Trends Shaping the Future of Infrastructure.pdfCheryl Hung
Keynote at DIGIT West Expo, Glasgow on 29 May 2024.
Cheryl Hung, ochery.com
Sr Director, Infrastructure Ecosystem, Arm.
The key trends across hardware, cloud and open-source; exploring how these areas are likely to mature and develop over the short and long-term, and then considering how organisations can position themselves to adapt and thrive.
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/
Slack (or Teams) Automation for Bonterra Impact Management (fka Social Soluti...Jeffrey Haguewood
Sidekick Solutions uses Bonterra Impact Management (fka Social Solutions Apricot) and automation solutions to integrate data for business workflows.
We believe integration and automation are essential to user experience and the promise of efficient work through technology. Automation is the critical ingredient to realizing that full vision. We develop integration products and services for Bonterra Case Management software to support the deployment of automations for a variety of use cases.
This video focuses on the notifications, alerts, and approval requests using Slack for Bonterra Impact Management. The solutions covered in this webinar can also be deployed for Microsoft Teams.
Interested in deploying notification automations for Bonterra Impact Management? Contact us at sales@sidekicksolutionsllc.com to discuss next steps.
State of ICS and IoT Cyber Threat Landscape Report 2024 previewPrayukth K V
The IoT and OT threat landscape report has been prepared by the Threat Research Team at Sectrio using data from Sectrio, cyber threat intelligence farming facilities spread across over 85 cities around the world. In addition, Sectrio also runs AI-based advanced threat and payload engagement facilities that serve as sinks to attract and engage sophisticated threat actors, and newer malware including new variants and latent threats that are at an earlier stage of development.
The latest edition of the OT/ICS and IoT security Threat Landscape Report 2024 also covers:
State of global ICS asset and network exposure
Sectoral targets and attacks as well as the cost of ransom
Global APT activity, AI usage, actor and tactic profiles, and implications
Rise in volumes of AI-powered cyberattacks
Major cyber events in 2024
Malware and malicious payload trends
Cyberattack types and targets
Vulnerability exploit attempts on CVEs
Attacks on counties – USA
Expansion of bot farms – how, where, and why
In-depth analysis of the cyber threat landscape across North America, South America, Europe, APAC, and the Middle East
Why are attacks on smart factories rising?
Cyber risk predictions
Axis of attacks – Europe
Systemic attacks in the Middle East
Download the full report from here:
https://sectrio.com/resources/ot-threat-landscape-reports/sectrio-releases-ot-ics-and-iot-security-threat-landscape-report-2024/
Essentials of Automations: Optimizing FME Workflows with ParametersSafe Software
Are you looking to streamline your workflows and boost your projects’ efficiency? Do you find yourself searching for ways to add flexibility and control over your FME workflows? If so, you’re in the right place.
Join us for an insightful dive into the world of FME parameters, a critical element in optimizing workflow efficiency. This webinar marks the beginning of our three-part “Essentials of Automation” series. This first webinar is designed to equip you with the knowledge and skills to utilize parameters effectively: enhancing the flexibility, maintainability, and user control of your FME projects.
Here’s what you’ll gain:
- Essentials of FME Parameters: Understand the pivotal role of parameters, including Reader/Writer, Transformer, User, and FME Flow categories. Discover how they are the key to unlocking automation and optimization within your workflows.
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We’ll wrap up with a glimpse into future webinars, followed by a Q&A session to address your specific questions surrounding this topic.
Don’t miss this opportunity to elevate your FME expertise and drive your projects to new heights of efficiency.
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.
6. NOTE: Every positive real number has two real number
square roots.
The number 0 has just one square root, 0 itself.
Negative numbers do not have real number square roots.
When simplifying we choose the positive value of 𝒂
called the principal root.
13169
00
RootsRNo eal4
Simplify 169 13 Note, since we are evaluating, we
only use the positive answer.
8. Simplifying Radicals
Notice that these properties can be used to combine
quantities under the radical symbol or separate them
for the purpose of simplifying square-root expressions.
Separate
Combine
A square-root expression is in simplest form when the
radicand has no perfect-square factors (except 1) and
there are no radicals in the denominator.
10. Simplifying Radicals w/Variables
32x5y3z2 =Practice:Review:
25
x
17
27x12
x x
8
3 3x x 6 7
3 16x x
Bronze Level Silver Level Gold Level
3 2 2 2 2 x x x x x x x x x x x x x
3 2 2 2 2 x x x x x x x x x x x x x
2 2 3 x x x x x x x 6
4 3x x
4x2yz xy
11. If a fraction has a denominator that is a square
root, you can simplify it by rationalizing the
denominator.
To do this, multiply both the numerator and
denominator by a number that produces a perfect
square under the radical sign in the denominator.
Multiply by a form of 1.
Rationalizing the Denominator
• 𝟓
𝟓 = 60 =
5
12. Simplify the expression.
Rationalizing the Denominator
Remember:
Note: Try to simplify first before automatically
trying to rationalize a radical denominator.
14. Rationalizing a Binomial
Denominator
Big picture: To remove the radical, we multiply the
binomial by another binomial, (FOIL) called its conjugate.
The conjugate is simply the same binomial with the
sign changed between terms.
15. Multiply the Conjugates
Conjugates
x2 = 9
y2 = (2 𝟓)(2 𝟓) = 20 9 – 20 = -13
Practice: 8 – 14 = -6
The middle terms always cancel each other out so you
don’t really have to FOIL.
16. Square roots that have the same radicand are called
like radical terms.
To add or subtract square roots, simplify each radical term
and then combine like radical terms by adding or
subtracting their coefficients.
Adding & Subtracting Radicals
You can only add or subtract radicals that have the same
radicand. The coefficients are combined, the radicand
stays the same. (Like the denominator of a fraction)
Example: = 5 ?
Does
𝟑
𝟓
-
𝟐
𝟓
= 1? = 4 𝟑
19. Word Problem
A stadium has a square poster of a football player
hung from the outside wall. The poster has an area of
12,544 ft2. What is the width of the poster?
112 feet wide
