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Lady bird [3.3K]
3 years ago
7

Write the term in simplest form and then simplify the expression

Mathematics
1 answer:
taurus [48]3 years ago
4 0

Answer:   \bold{-19\sqrt{6}+8\sqrt{5}}

<u>Step-by-step explanation:</u>

.\quad 3\sqrt{24}-7\sqrt{54}-\sqrt{96}+4\sqrt{20}\\\\=3\sqrt{\underline{2\cdot 2}\cdot2 \cdot3}-7\sqrt{2\cdot 3\cdot\underline{3\cdot 3}}-\sqrt{\underline{2\cdot 2}\cdot \underline{2\cdot 2}\cdot 2\cdot 3}+4\sqrt{\underline{2\cdot 2}\cdot 5}\\\\=2\cdot 3\sqrt{2 \cdot3}-3\cdot 7\sqrt{2\cdot 3}-2\cdot 2\sqrt{2\cdot 3}+2\cdot 4\sqrt{5}\\\\=6\sqrt{6}-21\sqrt{6}-4\sqrt{6}+8\sqrt{5}\\\\=-19\sqrt{6}+8\sqrt{5}

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6.7-3^2.9+4^3 evaluate the expression. show your work on a piece of paper.<br><br> 50+ points~!
vovangra [49]

Answer:

25

Step-by-step explanation:

6.7 -  {3}^{2} .9 +  {4}^{3}  \\  \\  = 42 - 9.9 + 64 \\  \\  = 42 - 81 + 64 \\  \\ =  106 - 81 \\  \\  = 25

7 0
3 years ago
Read 2 more answers
The angle of depression from the basketball hoop to Clairs eyes is 9.2degrees. The vertical distance from the ground to Claires
Norma-Jean [14]
X - difference between the height of the basketball hoop and the vertical distance from the ground to Clair´s eyes.
Using T O A:
tan (9.2°) = x / 22 ft
x = tan (9.2°) · 22 ft
x = 0.162 · 22 ft 
x = 3.564 ft
The height of the basketball hoop is:
h = 5.6 + 3.564 = 9.164 feet
8 0
3 years ago
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(–4c2 + 7cd + 8d) + (–3d + 8c2 + 4cd) =
BabaBlast [244]

Answer:

4c² + 11cd + 5d

Step-by-step explanation:

(–4c2 + 7cd + 8d) + (–3d + 8c2 + 4cd)

-4c² + 7cd + 8d - 3d + 8c² + 4cd (opening bracket)

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4 0
2 years ago
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Select the correct answer and then click Done.
Dimas [21]

Answer:

f(x) = (x + 10)(x + 4)(x - 1)

Step-by-step explanation:

Given the zeros of a polynomial, say x = a and x = b, then

the factors are (x - a) and (x - b)

The polynomial is then the product of the factors

f(x) = (x - a)(x - b)

Here the zeros are x = - 10, x = - 4 and x = 1, thus the factors are

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(x + 10), (x + 4) and (x - 1)

f(x) = (x + 10)(x + 4)(x - 1)

3 0
3 years ago
a ruby throated hummingbird beats its wings 159 times in 3 seconds how many times does he ruby throated humming beat its wing pe
mina [271]
159 times in 3 seconds = 159/3 = 53 times per second <==
5 0
3 years ago
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