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3 years ago

Which of the following is the best definition of a conic section?

Mathematics

2 answers:

IgorLugansk [536]3 years ago

3 0

The answer should be D. Good luck:)

Lina20 [59]3 years ago

3 0

Answer: D

Step-by-step explanation: just took the quiz

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Simplify:<br><br> √27x^2y^2<br><br> A) 27xy<br> B) 3xy<br> C) 3xy√3<br> D) xy√27

iren2701 [21]

Answer:

$\sqrt{27x^2y^2}=3xy\:\sqrt{3}$

Hence, option C is correct.

Step-by-step explanation:

Given the expression

$\sqrt{27x^2y^2}$

simplifying the expression

$\sqrt{27x^2y^2}=\sqrt{27}\sqrt{x^2}\sqrt{y^2}$

Apply radical rule: $\sqrt{a^2}=a,\:\quad \mathrm{\:assuming\:}a\ge 0$

$=\sqrt{27}x\sqrt{y^2}$

Apply radical rule: $\sqrt{a^2}=a,\:\quad \mathrm{\:assuming\:}a\ge 0$

$=\sqrt{27}xy$

$=xy\sqrt{3^3}$

$=xy\sqrt{3^2\cdot \:\:3}$

Apply radical rule: $\sqrt{a^2}=a,\:\quad \mathrm{\:assuming\:}a\ge 0$

$=3xy\:\sqrt{3}$

Therefore,

$\sqrt{27x^2y^2}=3xy\:\sqrt{3}$

Hence, option C is correct.

6 0

3 years ago

If the lengths of the legs of a right triangle are 3 and 10, what is the length of the hypotenuse?

sergejj [24]

Answer:

Step-by-step explanation:

To find the hypotenuse we use Pythagoras theorem which is given by

a² = b² + c²

where a is the hypotenuse

So we have

a² = 10² + 3²

a² = 100 + 9

a² = 109

Hope this helps you

8 0

4 years ago

Read 2 more answers

Round off 870 to the nearest ten

frosja888 [35]

It will be 870 itself because any number will be rounded of to the nearest 10 if it has a zero at the end
pls give this a brainliest answer while ur at it pls

5 0

3 years ago

Read 2 more answers

The variable W represents the number of weeks the office has been on the new recycling plan and the variable P represents the to

chubhunter [2.5K]

Answer:

It will take $\frac{45W}{P}$ weeks to recycle a total of 45 kg of paper

Step-by-step explanation:

W represents the number of weeks the office has been on the new recycling plan

P represents the total kilograms of paper recycled.

It took weeks to recycle P kilograms of paper = W

It took weeks to recycle 1 kilogram of paper = $\frac{W}{P}$

It took weeks to recycle 45 kilograms of paper = $\frac{W}{P} \times 45$

Hence It will take $\frac{45W}{P}$ weeks to recycle a total of 45 kg of paper

5 0

3 years ago

Abebe is saving money from work and his Mom will give him an extra 1/9 of whatever he saves. If Alejandro saves $23, how much wi

pashok25 [27]

The awnser is A. $2.56

4 0

3 years ago