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Step2247 [10]
3 years ago
14

When factored completely, the expression p^4-81 is equivalent to what?

Mathematics
2 answers:
suter [353]3 years ago
5 0
Hello,

p^4-3^4=(p²+9)(p²-9)=(p-3)(p+3)(p²+9) [in R]
[(maybe (p-3)(p+3)(p-3i)(p+3i) in C]
Mice21 [21]3 years ago
4 0
Differnce of 2 pefect squares
a^2-b^2=(a-b)(a+b)
(p^2)^2-9^2=(p^2-9)(p^2+9)

p^2-9=(p-3)(p+3)

factored is
(p-3)(p+3)(p^2+9)
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Find the volume of a pyramid with a square base, where the side length of the base is
ValentinkaMS [17]

Answer:

<h2>1529.4 m³</h2>

Step-by-step explanation:

Volume of a pyramid can be found by using the formula

v =  \frac{1}{3}  \times a \times h \\

a is the area of the base

h is the height

Since the base is a square we have

v =  \frac{1}{3}  \times  {15.3}^{2}  \times 19.6 \\  = 78.03 \times 19.6 \\  = 1529.388

We have the final answer as

<h3>1529.4 m³</h3>

Hope this helps you

3 0
3 years ago
Find c such that (−3,−8), (−7,−6), and (c,4) lie on a line.
Nutka1998 [239]
If the 3 points are collinear, then the slopes of all line segments connecting the points are the same.

Thus, 

         -6 - (-8)         2
m = ------------- = -------- = -1/2
         -7 - (-3)         -4

Then the following must be true:

             4-(-6)          10
-1/2 = ------------ = ---------
             c - (-7)       c + 7

Cross multiplying, -(c+7) = 20, and c+7 = -20, so that c = -27
8 0
3 years ago
HELPPPP
Yuki888 [10]

Dilation about the origin multiplies every coordinate by the scale factor.

C' = 4(-5, 2) = (-20, 8)

A' = 4(-4, 4) = (-16, 16)

T' = 4(-1, 2) = (-4, 8)

7 0
3 years ago
3xy + 5 if x = -4, y = 2
Zanzabum

Answer:

it will be -19

Step-by-step explanation:

i hope it helps you

7 0
2 years ago
Read 2 more answers
Perform the indicated operation. (-18)/-(4)
Illusion [34]
A negative divided by a negative is always a positive. 4 can go into 18 only 4 times to get 16 with a remainder of 2. 2 is half of four, therefore -4 can go into -18 4.5 times. 
The answer is 4 1/2 or 4.5.
I hope this helps ^-^
7 0
3 years ago
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