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emmainna [20.7K]
3 years ago
15

To evaluate 43/2 find A) the square of 4 and then take the cube root. B) the cube of 4 and then take the square root. C) the squ

are root of 2 times the cube root of 4. Eliminate D) the cube root of 4 and then take the square root.
Mathematics
1 answer:
tatiyna3 years ago
4 0

Answer:

  B) the cube of 4 and then take the square root

Step-by-step explanation:

43/2 = 21.5

___

The answer choices suggest you want ...

  4^(3/2) . . . . . . . appropriate math symbols are very helpful

This can be evaluated several ways:

  4^{\frac{3}{2}}=\sqrt{4^3}=(\sqrt{4})^3=10^{\frac{3}{2}\log{4}}\\\\=8

_____

Since the 3 is in the numerator of the fraction, it represents a cube, not a cube root. Any of the answer choices suggesting cube root is involved are incorrect. (Eliminating those leaves only the correct answer choice.)

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If AB = 10, BD = 5, and DE= 12, what is the length of BC?
FrozenT [24]

Answer:

BC = 24

Step-by-step explanation:

In the picture attached, the missing triangles are shown:

<u>Data</u>

  • AB = 10
  • BD = 5
  • DE= 12
  • Then, AD = 10-5 = 5

As a consequence of the "Side Splitter" Theorem:

AD/DE = AB/BC

Replacing with data and solving for BC

5/12 = 10/BC

BC = 10*12/5 = 24

4 0
3 years ago
Find the slope of the line that passes through (10, 3) and (7, 11).
Vadim26 [7]

Answer:

Slope of the line is -\frac{8}{3}.

Step-by-step explanation:

Given points are:

(10, 3) and (7, 11)

Here,

x1 = 10 and y1 = 3

x2 = 7 and y2 = 11

Slope of a line is given by

m = \frac{y_2-y_1}{x_2-x_1}\\\\m = \frac{11-3}{7-10}\\\\m = \frac{8}{-3}

Therefore,

Slope of the line is -\frac{8}{3}.

8 0
2 years ago
How do you find the reduced simplest form for 12/126
Rainbow [258]
What number can you divide both the divisor and denominator by? 

i see that 12 and 126 are divisible by 1, 2, 3, and  6

we're going to choose the biggest number we can divide by (which is 6)

12/6=2   /  126/6=21

the answer would be 2/21 because there is no other number (other than 1) that you could divide these both into

7 0
3 years ago
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Pavel [41]

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5 0
3 years ago
Read 2 more answers
What are the coordinates of the vertex of the graph of f(x)=2|x−3|f(x)=2|x−3|? Enter your answer as an ordered pair without pare
melomori [17]
Function is always positive, except for f(x)=0. Therefore, f(x)=0 is the vertex.

f(x)=0&#10;\\2|x+3|=0&#10;\\|x+3|=0&#10;\\x+3=0&#10;\\x=-3

The vertex is at (-3,0).
8 0
3 years ago
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