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taurus [48]
3 years ago
13

What is the completely factored form of d^4 - 81

Mathematics
2 answers:
White raven [17]3 years ago
5 0

Answer:

(d - 3)(d + 3)(d² + 9)

Step-by-step explanation:

d^{4} - 81 ← can be factored as a difference of squares

a² - b² = (a - b)(a + b), thus

d^{4} - 81

= (d²)² - 9²

= (d² - 9)(d² + 9)

Note that d² - 9 is also a difference of square, so

= (d - 3)(d + 3)(d² + 9) ← in factored form

Flauer [41]3 years ago
4 0

Answer:

Step-by-step explanation:

d^4-81

(d^2)^2-(9)^2

Using formula

(d^2+9)(d^2-9)

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A sprinkler mounted on the ground sends out a jet of water at a 30o angle to the horizontal. The water leaves the nozzle at a sp
dsp73

Answer:

12.7m

Step-by-step explanation:

The equation for motion to be used to find how far the water travels is

xf = xi + Vix(t) + 1/2axt^2

xf = 0 + ViCos α(t) + 0

xf = ViCosα(t)

xf = 12 Cos 30°(t)

xf = (6√3)t

To find the total times we will use the vertical displacement equation

yf = yi + Viy(t) + 1/2ayt^2

0 = 0 + ViSinα(t) + (1/2 * (-9.8)t^2)

0 = 12Sin30°(t) - 4.9t^2

4.9t^2 = 12Sin30°(t)

4.9t^2 = 6t

Divide through by t

4.9t = 6

t = 6/4.9

t = 1.22secs

Put t = 1.22 into (6√3)t

xf = 6√3 * 1.22

xf = 12.7m

5 0
2 years ago
What fractional part of a pound is an ounce
marysya [2.9K]
One ounce is one-sixteenth of a pound since there is 16 ounces in a pound. 
6 0
3 years ago
Sidney skated for 1 1/10 hours last month and 8 7/10 hours this month. How many
olganol [36]

Answer:

the number of hours does sidney skate in all is 9.8 hours

Step-by-step explanation:

The computation of the number of hours does sidney skate in all is as follows:

= Last month + this month

= 1 \frac{1}{10} + 8 \frac{7}{10}\\\\= \frac{11}{10} + \frac{87}{10}\\\\= \frac{98}{10}

= 9.8 hours

Hence, the number of hours does sidney skate in all is 9.8 hours

3 0
3 years ago
Please solve the equation by factorising
Kobotan [32]

Answer:

X= -2/3, 4

Step-by-step explanation:

5 0
2 years ago
I need help please help me please if you have done this
Ludmilka [50]

Answer:x>-1

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
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