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Mamont248 [21]
3 years ago
10

Can you factor m3 - 216

Mathematics
1 answer:
Sergio039 [100]3 years ago
6 0

Answer:

Step-by-step explanation:

m³ -216 = m³ - 6³

a³ - b³ = (a-b) (a² + ab + b²)

a =  m  and b = 6

m³ - 6³ = (m - 6)(m² + 6m + 6²)

             = (m - 6)(m² + 6m + 36)

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Triangle A'B'C' is the image of triangle ABC under a rotation about point Q.<br><br>​
yan [13]

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Answer:

  True; about 120° CCW rotation about Q

Step-by-step explanation:

Triangle A'B'C' appears to be congruent to triangle ABC and about the same distance from point Q. The angle of rotation from ABC to A'B'C' appears to be about 120° counterclockwise when measured using a geometry program.

Triangle A'B'C' is the image of triangle ABC under rotation about 120° CCW about point Q.

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<em>Additional comment</em>

If choices of rotation angle are ±135° or ±165°, the best choice would be ...

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3 0
2 years ago
Cody stamped 460 envelopes in 30 minutes. How many envelopes per minute did Cody stamp?​
Leokris [45]

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15 1/3 envelopes in 1 minutes

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Take the number of envelopes and divide by the number of minutes

460 envelopes / 30 minutes

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3 0
3 years ago
Find the equation of the line that passes through (1, -1) and is parallel to
daser333 [38]

keeping in mind that parallel lines have exactly the same slope, let's check for the slope of the equation above

2x+y-3=0\implies y=\stackrel{\stackrel{m}{\downarrow }}{-2} x+3 \impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}

so we're really looking for the equation of a line with a slope of -2 and that passes through (1 , -1)

(\stackrel{x_1}{1}~,~\stackrel{y_1}{-1})\qquad \qquad \stackrel{slope}{m}\implies -2 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-1)}=\stackrel{m}{-2}(x-\stackrel{x_1}{1}) \\\\\\ y+1=-2x+2\implies y=-2x+1

8 0
3 years ago
What’s the answer for 2(w-3)+5=3(w-1)
Triss [41]

the first step is multiplication

the second step is collect like terms

third step is division

4 0
3 years ago
Read 2 more answers
PLEASE HELP (Giving Good Points!)
Vinvika [58]

Answer:  q=16

Step-by-step explanation:

if we suppose q=16

(q+4)/2=10

(16+4)/2=10\\20/2=10\\10=10

7 0
3 years ago
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