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3 years ago

5

Factor the polynomial 3x3-12x2-27x

1 answer:

zheka24 [161]3 years ago

4 0

The GCF is 3x so we have:-

3x(x^2 - 4x - 9) <---- answer

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Nathan has a sculpture in the shape of a pyramid. The height of the sculpture is 3 centimeters less than the side length, x, of

uysha [10]

Let
x-----------> <span>the side length of a pyramid square base
h-----------> t</span>he height of the sculpture <span>in the shape of a pyramid

we know that
h=(x-3)
Volume=162 cm</span>³
Volume=x² *(x-3)/3
then
x² *(x-3)/3=162----------> x³-3x²=486----------> x³-3x²-486=0
x³-3x²-486=0-------- <span>this equation can be used to find the length of the sculpture’s base

using a graph tool-----------> </span>to find the solution
x=9 cm -------------> see the attached figure
h=(x-3)-----> h=9-3--------> h=6 cm

the answer is
<span>the length of the sculpture’s base is 9 cm
</span>the height of the sculpture is 6 cm

8 0

2 years ago

What is the equation of the line that contains the points (2,6) and (-2,4)

suter [353]

Answer:

y =1 /2 x+ 5

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

A trapezoid is 14 centimeters high and has bases that measure 13.5 centimeters and 27.5 centimeters. What is the area of the tra

Pie

So, the area of the trapezoid is 287 cm².

5 0

2 years ago

Graph the image of this quadrilateral after a dilation with a scale factor of 4 centered at the origin

Brut [27]

Answer: The image is attached.

Step-by-step explanation:

A Dilation is defined as a transformation in which the image and the pre-image have the same shape, but their sizes are different.

When the scale factor is greater than 1, the image obtained after the dilation is greater than the pre-image and it is an "Enlargement".

When the scale factor is is between 0 and 1, the image obtained after the dilation is smaller than the pre-image and it is an "Reduction".

In this case we know that the scale factor is:

$scale\ factor=4$

Since:

$4>1$

It is an Enlargement.

You can identify that the vertices of the pre-image shown in the figure, are:

$(-2,1)\\\\(-1,2)\\\\(0,0)\\\\(-1,-2)$

So you need to multiply the coordinates of those vertices by 4 in order to get the coordinates of the image;

$((-2)(4),1(4))=(-8,4)\\\\((-1)(4),(2)(4))=(-4,8)\\\\((0)(4),(0)(4)=(0,0)\\\\((-1)(4),(-2)(4))=(-4,-8)$

Now you can draw it (The image is attached).

8 0

3 years ago

Y= 2x + 6 for x = 0,1,2,3,4

algol [13]

x=0 y=6

x=1 y=8

x=2 y=10

x=3 y=12

x=4 y=14

8 0

2 years ago