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3 years ago

What is the total surface area.

Mathematics

1 answer:

ArbitrLikvidat [17]3 years ago

7 0

If your question about figure of 6 pieces, then 26 sq ft

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What is the quotient of (x3 – 3x2 + 3x – 2) ÷ (x2 – x + 1)

Artyom0805 [142]

X - 2
x^2-x+1 | x^3 - 3x^2 + 3x - 2. x^3 - x^2 + x
-2x^2 + 2x -2 -2x^2 + 2x - 2 0

Quotient = x - 2

6 0

4 years ago

What is x squared plus six x minus twenty seven =0

marishachu [46]

$x^2+6x-27=0\\\\x^2-3x+9x-27=0\\\\x\big(x-3\big)+9\big(x-3\big)=0\\\\\big(x+9\big)\big(x-3\big)=0\\\\\\x+9=0\qquad\vee\qquad x-3=0\\\\\boxed{x=-9\qquad\vee\qquad x=3}$

8 0

4 years ago

Write an equation of the perpendicular bisector of the segment with the endpoints (8,10) and ( -4,2).

ale4655 [162]

Answer:

The required equation is:

$y = -\frac{3}{2}x+9$

Step-by-step explanation:

To find the equation of a line, the slope and y-intercept is required.

The slope can be found by finding the slope of given line segment. A the perpendicular bisector of a line is perpendicular to the given line, the product of their slopes will be -1 and it will pass through the mid-point of given line segment.

Given points are:

$(x_1,y_1) = (8,10)\\(x_2,y_2) = (-4,2)$

We will find the slope of given line segment first

$m = \frac{y_2-y_1}{x_2-x_1}\\= \frac{2-10}{-4-8}\\=\frac{-8}{-12}\\=\frac{2}{3}$

Let m_1 be the slope of perpendicular bisector then,

$m.m_1 = -1\\\frac{2}{3}.m_1 = -1\\m_1 = \frac{-3}{2}$

Now the mid-point

$(x,y) = (\frac{x_1+x_2}{2} , \frac{y_1+y_2}{2})\\= (\frac{8-4}{2} , \frac{10+2}{2})\\=(\frac{4}{2}, \frac{12}{2})\\=(2,6)$

We have to find equation of a line with slope -3/2 passing through (2,6)

The equation of line in slope-intercept form is given by:

$y = m_1x+b$

Putting the value of slope

$y= -\frac{3}{2}x+b$

Putting the point (2,6) to find the y-intercept

$6 = -\frac{3}{2}(2)+b\\6 = -3+b\\b = 6+3 =9$

The equation is:

$y = -\frac{3}{2}x+9$

7 0

3 years ago

A bag contains white,blue and red balls ratio8:3:2 and there are 10 red balls,if 10 white balls and 10 blue balls are removed fr

dmitriy555 [2]

Answer:

New ratio ( white,blue and red) = 6:1:2

Step-by-step explanation:

Given:

Old ratio ( white,blue and red) = 8:3:2

Number of red balls = 10

Removed balls = 10 white , 10 blue

Find:

New ratio ( white,blue and red)

Computation:

Assume total number of balls = x

So,

Number of total balls = 2x / 13 = 10

Number of total balls = 65

Number of white balls = 40

Number of blue balls = 15

So,

Number of new white balls = 40 - 10 = 30

Number of new blue balls = 15 - 10 = 5

New ratio ( white,blue and red) = 30 : 5 : 10

New ratio ( white,blue and red) = 6:1:2

5 0

3 years ago

8 cm 20 cm 0 80 O 160 0 28 O 40

Bond [772]

8x20=160
So your answer would be 160

6 0

3 years ago