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3 years ago

Need this done ASAP

Mathematics

1 answer:

ANEK [815]3 years ago

3 0

Answer:

The side length is 11 inches

Step-by-step explanation:

The volume of a cube is given by

V = s^3 where s is the side length

1331 in ^3 = s^3

Take the cube root of each side

(1331 in ^3 ) ^1/3 = s^3 ^ 1/3

11 in = s

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Write the equation of the perpendicular bisector of . Point B is located at (–3, 1), and point C is located at (1, 5).

maxonik [38]

The equation of perpendicular bisector of BC is

$y=-x+2$

Further explanation:

A perpendicular bisector passes through the mid-point of a line so to get an ordered pair from which the perpendicular bisector will pass we need to find the mid-point of BC.

$Mid-point = (\frac{x_1+x_2}{2} , \frac{y_1+y_2}{2} )\\Here\\(x_1,y_1) = (-3,1)\\(x_2,y_2) = (1,5)\\Putting\ values\ in\ formula\\M = (\frac{-3+1}{2} , \frac{1+5}{2} )\\= (\frac{-2}{2} ,\frac{6}{2})\\= (-1, 3)$

So the perpendicular bisector will pass through (-1,3)

Let m1 be the slope of BC

Then

$m_1 = \frac{y_2-y_1}{x_2-x_1} \\=\frac{5-1}{1+3} \\=\frac{4}{4}\\ =1$

Let m2 be the slope of perpendicular bisector

We know that the product of slopes of perpendicular lines is -1.

$m_1.m_2 = -1\\1*m_2 = -1\\m_2 = -1$

The standard form of point-slope form of line is:

$y=mx+b$

Putting the value of slope of bisector we get

$y=(-1)(x)+b\\y=-x+b$

To find the value of b, put the ordered pair (-1,3) in the equation

$3 = -(-1) +b\\3= 1+b\\3-1 =b\\b=2\\$

Putting the values of m and b in standard form

$y=-x+2$

Hence the equation of perpendicular bisector of BC is

$y=-x+2$

Keywords: Perpendicular bisector, Point-slope form

Learn more about point-slope form at:

#LearnwithBrainly

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3 years ago

Use the long division method to find the result when 12x3 + 4x2 - 23x + 10 is

Bumek [7]

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The number of students enrolled at a college is 12,000 and grows 4% each year. Complete parts (a) through (e).

Paha777 [63]

Answer:

48000

Step-by-step explanation:

12000 students

1 =annually

12×4×1= 48000

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vladimir1956 [14]

Step-by-step explanation:

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