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3 years ago

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Mathematics

1 answer:

spin [16.1K]3 years ago

7 0

The amount of substance unit is mol, the answer is c

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What is the simplified form of the following expression? 2√27+√12-3√3-2√12

LiRa [457]

Answer:

√3

Step-by-step explanation:

The given expression to be simplified is

$2 \sqrt{27}+\sqrt{12}-3\sqrt{3}-2 \sqrt{12}$

but

$2 \sqrt{27}=2\sqrt{9 \times 3}=2 \times \sqrt{9}\times \sqrt{3}=2 \times 3 \times\sqrt{3}=6 \sqrt{3}$

$\sqrt{12}=\sqrt{4\times3}= \sqrt{4}\times \sqrt{3}=2\sqrt{3}$

Since √12=2√3,this implies that,

$2\sqrt{12}=2\times2\sqrt{3}=4 \sqrt{3}$

Therefore,

$2 \sqrt{27}+\sqrt{12}-3\sqrt{3}-2 \sqrt{12}=6\sqrt{3}+2\sqrt{3}-3 \sqrt{3} -4\sqrt{3}$

$=(6+2-3-4)\sqrt{3}$

$=\sqrt{3}$

The simplified form of ,

$2 \sqrt{27}+\sqrt{12}-3\sqrt{3}-2 \sqrt{12}$ is √3

8 0

3 years ago

Dave walked to his friends house at a rate of 4 mph and returned biking at a rate of 10 mph. If it took him 18 minutes longer to

vesna_86 [32]

Answer:

The total distance of the round trip was 4 miles

Step-by-step explanation:

1. Let's check all the information given to answer the question correctly:

Speed of Dave walking to his friend's house = 4 mph

Speed of Dave biking from his friend's house = 10 mph

Time walking is 18 minutes longer than time biking

2. What was the total distance of the round trip?

Time walking = x

Time biking = x - 18

For solving x, we will use the following equation:

4x = 10 * (x - 18)

4x = 10x - 180

-6x = - 180

x = -180/-6 (Dividing by - 6)

x = 30

Dave walked 30 minutes and biked 12 minutes, now we can calculate the total distance, this way:

30 minutes = 0.5 hours and 12 minutes = 0.2 hours

Total distance = 4 *0.5 + 10 * 0.2

Total distance = 2 + 2

Total distance = 4 miles.

3 0

3 years ago

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A 12-sided sold has faces numbered 1 to 12. The table shows the results of rolling the solid 200

Nonamiya [84]

I think it has to be 20

3 0

3 years ago

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Find the distance between (-4,2) and (10,2).

satela [25.4K]

Answer:

Step-by-step explanation:

1) To find the distance between two points you'll need to use the distance formula:

d= $\sqrt{(x1 - x2)^{2} + (y1 - y2)^{2} }$

2) Figure out which points you'll want to set:

(x1,y1) = (-4,2) (x2,y2) = (10,2)

3) Substitute your values into the formula:

$= \sqrt{(-4 - 10)^{2} + (2-2)^{2} }\\= \sqrt{(-14)^{2} + (0)^{2} }\\= \sqrt{196 }\\= 14$

8 0

4 years ago

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alina1380 [7]

Answer:

b. corresponding angles

Step-by-step explanation:

5 0

4 years ago

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