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Igoryamba
3 years ago
13

What is the estimate of 200,629+28,542

Mathematics
1 answer:
zloy xaker [14]3 years ago
3 0
If you want it to be easier to add, just do it like this: 200,000+ 30,000= 230,000
If you want me to be more specific, put this: 201,000+ 29,000= 230,000
It really doesn't matter because both estimates are the same answer, so you can put whichever one. Hope this helps
Thats my answer :)))
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Rationalize the denominator of sqrt -49 over (7 - 2i) - (4 + 9i)
zubka84 [21]
\sqrt{ \frac{-49}{(7-2i)-(4+9i) } } 


This one is quite the deal, but we can begin by distributing the negative on the denominator and getting rid of the parenthesis:

\frac{ \sqrt{-49}}{7-2i-4-9i}

See how the denominator now is more a simplification of like terms, with this I mean that you operate the numbers with an "i" together and the ones that do not have an "i" together as well. Namely, the 7 and the -4, the -2i with the -9i.
Therefore having the result: 

\frac{ \sqrt{-49} }{3-11i}

Now, the \sqrt{-49} must be respresented as an imaginary number, and using the multiplication of radicals, we can simplify it to \sqrt{49}  \sqrt{-1}
This means that we get the result 7i for the numerator.

\frac{7i}{3-11i}

In order to rationalize this fraction even further, we have to remember an identity from the previous algebra classes, namely: x^2 - y^2 =(x+y)(x-y)
The difference of squares allows us to remove the imaginary part of this fraction, leaving us with a real number, hopefully, on the denominator.

\frac{7i (3+11i)}{(3-11i)(3+11i)}

See, all I did there was multiply both numerator and denominator with (3+11i) so I could complete the difference of squares.
See how (3-11i)(3+11i)= 3^2 -(11i)^2 therefore, we can finally write:

\frac{7i(3+11i)}{3^2 - (11i)^2 }

I'll let you take it from here, all you have to do is simplify it further.
The simplification is quite straightforward, the numerator distributed the 7i. Namely the product 7i(3+11i) = 21i+77i^2.
You should know from your classes that i^2 = -1, thefore the numerator simplifies to -77+21i
You can do it as a curious thing, but simplifying yields the result:
\frac{-77+21i}{130}
7 0
3 years ago
A 2-column table with 6 rows. Column 1 is labeled Number of Items Made with entries 1,125, blank, blank, blank, blank, blank. Co
Nadya [2.5K]

Answer:

4,500 items are made every 4 hours.

5,625 items are made every 5 hours.

Step-by-step explanation:

when you multiply 1125 by for it will equal 4500 and when you multiply 1125 by 5 it will equal 5625

3 0
3 years ago
Read 2 more answers
30 <img src="https://tex.z-dn.net/?f=30%5Cgeq%205" id="TexFormula1" title="30\geq 5" alt="30\geq 5" align="absmiddle" class="lat
Mila [183]
30 is more than 5 not exactlt know what ur looking for here?
3 0
3 years ago
5 divided by 5.2 = ?
Alenkasestr [34]

Answer:

0.96153846153

but it would make more sense in a lot of cases if it was 5.2/5

Step-by-step:

5 0
3 years ago
Read 2 more answers
Factorise 5x^2-18x+16=0
Lunna [17]

Answer:

(5x-8)(x-2)

Step-by-step explanation:

or either use quadratic formula

5 0
2 years ago
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