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Sergeeva-Olga [200]
3 years ago
11

Why are radicals simplified before adding and subtracting? Explain your reasoning by adding sqrt8 and sqrt32 algebraically. Comp

are the process to multiplying and dividing.
Mathematics
1 answer:
Rashid [163]3 years ago
8 0
The first reason is that square root extraction is NOT a linear process, i.e.
√a + √b ≠ √(a+b) unless a = b. What usually happens is that some common factors can be gotten out frpom the radical and then the distributive law allows some consolidation of terms.
sqrt(8) + sqrt(32) = 2sqrt(2) + 4sqrt(2) = 6 sqrt(2)

but sqrt(8) + sqrt(24) = 2sqrt(2) + 2sqrt(6) = 2[sqrt(2) + sqrt(6)].
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4. Suppose that Peculiar Purples and Outrageous Oranges are two different and unusual types of bacteria. Both types multiply thr
Viktor [21]

Answer:

Peculiar purples would be more abundant

Step-by-step explanation:

Given that eculiar Purples and Outrageous Oranges are two different and unusual types of bacteria. Both types multiply through a mechanism in which each single  bacterial cell splits into four. Time taken for one split is 12 m for I one and 10 minutes for 2nd

The function representing would be

i) P=P_0 (4)^{t/12} for I bacteria where t is no of minutes from start.

ii) P=P_0 (4)^{t/10} for II bacteria where t is no of minutes from start. P0 is the initial count of bacteria.

a) Here P0 =3, time t = 60 minutes.

i) I bacteria P = 3(4)^{5} =3072

ii) II bacteria P = 3(4)^{4} =768

b) Since II is multiplying more we find that I type will be more abundant.

The difference in two hours would be

3(4)^{10}- 3(4)^{8} =2949120

c) i) P=P_0 (4)^{t/12} for I bacteria where t is no of minutes from start.

ii) P=P_0 (4)^{t/10} for II bacteria where t is no of minutes from start. P0 is the initial count of bacteria.

d) At time 36 minutes we have t = 36

Peculiar purples would be

i) P=3 (4)^{36/12}=192

The rate may not be constant for a longer time.  Hence this may not be accurate.

e) when splits into 2, we get

P=P_o (2^t) where P0 is initial and t = interval of time

7 0
3 years ago
1 . fraction bar a fraction in which the numerator is smaller than the denominator 2 . numerator the number under the fraction l
11Alexandr11 [23.1K]

Answer:

The number under the fraction line tells how many equal parts the whole was broken into

8 0
2 years ago
Use slopes and y-intercepts to determine if the lines 10x+3y=−3 and 5x−4y=−3 are parallel.
kvasek [131]

Answer:

They are not parallel

Step-by-step explanation:

original equation

10x + 3y = -3

subtract 10x

3y = -10x - 3

divide by 3

y = -10/3x - 1

original equation

5x - 4y = -3

subtract 5x

-4y = -5x-3

divide by -4

y = 5/4x + 3/4

the slopes are not equal to each other (5/4x and -10/3x) so they are not parallel

4 0
1 year ago
Find the area of the sector (shaded part). Round to the nearest hundredth! <br><br> No links!!
igor_vitrenko [27]

Answer:

~183.78

Step-by-step explanation:

A = pi 9² ≈254.47

260/360=13/18

254.47/18×13≈183.78

6 0
3 years ago
A drop in temperature of 9 degrees overnight
Rina8888 [55]
Whats the question?
8 0
2 years ago
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