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aliya0001 [1]
3 years ago
14

Use the factor theorem to determine whether the first polynomial is a factor of the second polynomial

Mathematics
1 answer:
Diano4ka-milaya [45]3 years ago
3 0

Answer:

not a factor

Step-by-step explanation:

If (x - 3) is a factor then f(3) = 0

f(x) = 2x² - 4x + 30

f(3) = 2(3)² - 4(3) + 30 = 18 - 12 + 30 = 36 ≠ 0

Since f(3) ≠ 0 then (x - 3) is not a factor of f(x)

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The triangular based pyramid ABCD is shown. The base ABC is right angled triangle and the pyramid has a volume of 72cm3. D is di
mina [271]

Answer:

AB = AC = 6 cm

AD = 6*2 = 12 cm

Step-by-step explanation:

Solution:-

- A small sketch of a right angle triangular base pyramid could help use visualize the right angle triangle base ( A B C )

Where Length,

                     AB = AC = x

                     AD = 2*AB = 2x

Where, The point D directly above A.

- The volum ( V ) of a pyramid is given by:

                    V = [ Base Area * h ] / 3

- Where,    Base Area : The area of triangle ABC

                 h : The total height of the pyramid, AD

- The base area of the triangular base  ( A B C ) is given by:

                   Base area  = 0.5*AB*AC

                                      = 0.5*x*x

                                      = 0.5x^2

- The height of the pyramid, AD = 2*AB = 2*x

- Compute the value of x, for the given volume V = 72 cm^3:

                    3*V = 0.5x^2* 2x

                    3*72 = x^3

                    216 = x^3

                    x = 6 cm

                     

3 0
3 years ago
The distants around the edge of the pool is 38 feet. What is the area the pool with cover
kvv77 [185]

Answer:

114.93 ft

Step-by-step explanation:

\pi  = 3.14

Given formula to find the area:

\pi  * r^2

Find radius first:

Circumference = \pi  * 2 * r

The circumference in this situation would be 38 feet.

38ft = \pi  * 2 * r

38 ft = 3.14 * 2 * r

3.14 * 2 = 6.28

38ft = 6.28 * r

Since we need to find radius, do division to 38 by 6.28.

38ft / 6.28 = 6.05

Our radius is 6.05

Now back to the original formula which is:

\pi  * r^2

Substitute:

A = 3.14 * 6.05^2

6.05^2 = 36.6

A = 3.14 * 36.6

==> 114.93ft

8 0
3 years ago
Write 1.4 over 7 in simplest form
Nana76 [90]
2/10 because 0.7/7 is equal to one tenth, so 1.4/7 is equal to 2/10
7 0
3 years ago
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luda_lava [24]

Here is your answer in the format of a PNG file.

The last would be a < 40 if you'd be going under $40.

8 0
3 years ago
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Answer:

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8 0
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