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jekas [21]
2 years ago
5

Factor 15x + 35 using the GCF.

Mathematics
1 answer:
stellarik [79]2 years ago
4 0
The answer is A. 5(3x+7)
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Solve 7 2 3 − ( 1 2 4 + 3 6 8 ) . Choose the number to complete the mixed number. Numbers may be used once or not at all. ASAP p
weqwewe [10]

Answer:

2\frac{5}{12} <em>is your answer.</em>

Step-by-step explanation:

7\frac{2}{3} -(1\frac{2}{4} +3\frac{6}{8} )\\\\\frac{23}{3} -(\frac{6}{4} +\frac{15}{4}) \\\\\frac{23}{3} -(\frac{21}{4})\\\\\frac{92-63}{12} \\\\\frac{29}{12} \\\\2\frac{5}{12}

6 0
2 years ago
Write the complex number -2+2i in polar form
FromTheMoon [43]
For polar form you need to find the modulus (length of the vector) and the argument (angle of the vector) and present in form rcis(Arg) or re^Argi

start with the modulus r=sqrt(a^2 +b^2)
                                     =sqrt(-2^2 +2^2)
                                     = sqrt(4+4)
                                     =sqrt(8)
                                     =2sqrt(2)

next the argument, firstly arg=tan(b/a)
                                              = tan(2/2)
                                              =tan(1)
                                             =pi/4 .     (exact values table)
Now consider the quadrant the complex number is in, as it is (-2,2) it is in the second quadrant and as such your Arg value is:
Arg=pi-arg
     = pi-pi/4
     = 3pi/4

add it all together and your complex number in polar form is:
2sqrt2cis(3pi/4)

note: cis is short hand for cos(x)+isin(x), it is possible your tutor would rather you use the complex exponential form which is simply re^Argi and your answer would look like:
2sqrt2e^(3pi/4)i

Also notice the difference between arg and Arg as this often slips students up and always present Arg in prinicple argument form ie -pi<Arg<pi

Hopefully this has been clear enough and good luck

8 0
3 years ago
A line is defined by the equation y = two-thirds x minus 6. The line passes through a point whose y-coordinate is 0. What is the
DedPeter [7]

y = \cfrac{2}{3}x~~ - ~~6~\hspace{10em} (\stackrel{x}{?}~~,~~\stackrel{y}{0}) \\\\\\ 0=\cfrac{2}{3}x~~ - ~~6\implies 6=\cfrac{2x}{3}\implies 18=2x\implies \cfrac{18}{2}=x\implies 9=x

3 0
2 years ago
it is 3452 feet round trip from craig's house to his school. if he went to school 79 times this year, how many feet did he trave
Setler [38]
3531 you have to add them all
7 0
3 years ago
Read 2 more answers
Find the 8th term in the sequence. 4, -24, 144, -864,...
jeka57 [31]
Just continue multiplying by -6. The 8th term would be -1119744
6 0
3 years ago
Read 2 more answers
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