Homer has made mistake in step 2
When you complete the square, you need to add the values to both sides of equation
<em><u>Solution:</u></em>
<em><u>Given equation of circle:</u></em>
Let us first calculate center and radius and find out where he did the mistake
<em><u>Step 1:</u></em>
Group the terms
<em><u>Step 2:</u></em>
But homers step 2 is:
So homer has made mistake in this step
When you complete the square, you need to add the values to both sides of equation
But homer did not add 49 and 1 to right side of equation
Correct steps are:
Comparing general equation of circle,
Therefore, center is ( 7, -1) and radius is 8.66
Answer:
6) x=9.75
10) Triangle OMN ~ Triangle ODK; SSS ~
11) SSS ~ theorem
12) SSS ~ theorem
Step-by-step explanation:
For #6, since the polygons are similar, then it must mean AD is congruent to JM and CD is congruent to LM. Now we can set up the proportion 39/20=x/5 and solve. Solving for x gets us x=9.75, so C is the correct choice
For #10, there's no information about angles whatsoever in the diagram, so B and C must be wrong. D must be wrong as well because if the triangles weren't similar, then why is OJ ~ JM and OK ~ KN? So thus, the triangles are similar by SSS.
For #11, this is sort of a no-brainer because there's no mention of angles, so D must be correct.
For #12, same concept, no mention of angles, all sides are similar to their respective sides of the different triangles, so A is correct.
<h2>
Answer:</h2>
The first step would be to multiply the bottom equation by -1 to eliminate x, then you would combine like terms, like 5y + 2y, and 16 + 10.
Use Rule of One: x^1 = x
6 × x^3 + 1 × z/3
Simplify 6 × z^3/3 to 2z^3
2z^3 + 1 × z/3
Simplify 1 × z/3 to z/3
<u>= 2z^3 + z/3</u>
The molar mass of dinitrogen monoxide?
Is=N2O=(14×2)+16
=44g/mol
