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sergey [27]
3 years ago
12

Round number to the nearest hundred 293

Mathematics
2 answers:
creativ13 [48]3 years ago
8 0
293 rounds to 300 is the nearest hundred


Mrac [35]3 years ago
3 0

300 is your answer

<u>2</u><u />93 the 2 looks at the neighbor and says are you 5 or more or are you 4 or less and 9 is bigger than 5 so then you round 9 and your answer turns into 300 okay.

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Rationalize the denominator of sqrt -49 over (7 - 2i) - (4 + 9i)
zubka84 [21]
\sqrt{ \frac{-49}{(7-2i)-(4+9i) } } &#10;

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}
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3 years ago
Select the correct answer.
yuradex [85]

Answer:

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Step-by-step explanation:

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7 0
2 years ago
What is the GCF of 48 and 16?
antiseptic1488 [7]
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8 0
3 years ago
Of the 250 students at Moreland middle school, 80% ride the bus to school. Monica wants to know the number of students that ride
LekaFEV [45]
You would put 80 x
—- = ——
250 100

So those are fractions^
The first thing you do here is cross-multiply. (It doesn’t matter which sides you multiply together first)
So 250 times x= 250x
Then cross multiply 80 and 100 to get:
8,000
You now have ur new equation:
250x=8,000
The next thing you do here is divide both sides by 250, since 250 is the number with a variable in it (aka “x”)
You then get:
32 students as you’re final answer.
I hope that helped you understand !
7 0
3 years ago
Write an equation of the line that passes through a pair of points (-5, -2), (4, 5)
PIT_PIT [208]
To find the equation of a line knowing two points it passes through, we must first find the slope and then substitute the x and y values to figure out the y intercept. 

First thing is to find the slope using the formula m = Δy ÷ Δx
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Now we simplify 
m = 7 ÷ 9 

Our equation so far is y = 7/9x + b. Now we can substitute the values of x and y from a point to figure out the answer. The equation here uses the point (4,5)

5 = 7/9 · 4 + b

Get b on one side
5 - 28/9 = b

Simplify
b = 1 + 8/9

That makes the equation of the line y = 7/9x + (1 + 8/9)
8 0
3 years ago
Read 2 more answers
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