-4/9 is simplified of -12/27
When you see an equation with parenthesis around it, you can use this:
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction
Otherwise known as PEMDAS.
We can see that in the equation, there are parenthesis, so we can open those. We open parenthesis by taking the number right next to the parenthesis (or outside the parenthesis) and we multiply that number by everything inside. So this is what it would look like:
-2x^2 - 10x + 8
See how the signs changed? This rule only applies when you multiply something, but here is how I think of it:
+ and + always equals +.
- and - always equals +.
- and + always equals -.
+ and - always equals -.
So that's it! Just to be clear, the answer is:
-2x^2 - 10x + 8
Hope I helped, sorry if I'm wrong!
`Mschmindy
- Diameter of cylinder is <u>1</u><u>4</u><u> </u><u>units.</u>
<h3><u>Explamation </u><u>:</u></h3>
<em><u>Given </u></em><em><u>:</u></em><em><u>-</u></em>
- Volume of cylinder = 245π cubic units
- Height of cylinder = 5 units
<em><u>To </u></em><em><u>Find </u></em><em><u>:</u></em><em><u>-</u></em>
<em><u>Solution </u></em><em><u>:</u></em><em><u>-</u></em>
<em>Firstly </em><em>lets </em><em>calculate </em><em>radius </em><em>of </em><em>cylinder </em><em>by </em><em>using </em><em>formula </em><em>of </em><em>volume </em><em>of </em><em>cylinder,</em><em> </em><em>as </em><em>we </em><em>know </em><em>that;</em>
- Volume of cylinder = πr²h
<em>Putting </em><em>all </em><em>values </em><em>we </em><em>get;</em>
➸ 245π = π × r² × 5
<em>By </em><em>cutting </em><em>'π' </em><em>with </em><em>'π' </em><em>we </em><em>get;</em>
➸ 245 = r² × 5
➸ 245/5 = r²
➸ 49 = r²
➸ √(49) = r²
➸ √(<u>7</u><u> </u><u>×</u><u> </u><u>7</u><u>)</u> = r²
➸ 7 = r
➸ r = 7 units
- <u>Hence,</u><u> </u><u>radius </u><u>of </u><u>cylinder </u><u>is </u><u>7</u><u> </u><u>units.</u>
<em>Now </em><em>lets </em><em>calculate </em><em>its </em><em>diameter,</em><em> </em><em>as </em><em>we </em><em>know </em><em>that;</em>
<em>Putting </em><em>all </em><em>values </em><em>we </em><em>get;</em>
➸ Diameter = 7 × 2
➸ Diameter = 14 units
- <u>Hence,</u><u> </u><u>diameter </u><u>of </u><u>cylinder </u><u>is </u><u>1</u><u>4</u><u> </u><u>units.</u>
Answer:
1st option: G, H, I
Step-by-step explanation:
Collinear points are points that lie on the same straight line.
In the diagram, the collinear points are:
• L, H, J
• G, H, I, K
For the 2nd option, I does not lie on the same straight line as L and H.
For the 3rd option, J does not lie on the same straight line as G and H.
For the 4th option, J does not lie on the same straight line as G and I.
Thus, the 2nd, 3rd and 4th options are incorrect.