1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
creativ13 [48]
3 years ago
12

a student's work to distribute and simplify a radical is shown below. Select the statement which best applies to the sample math

ematical work. given (-5√20+√3)*(2+√3), i first distribute to get the expression -10√20-5√60+2√3+√9, which i can simplify to -40√5-20√15+2√3+3 for an answer. a. the student did not properly distribute the radicals b. the student overlooked combining one or more of the radical terms c. the student did not properly simplify all radicals d. the work shown above is correct
Mathematics
2 answers:
Sphinxa [80]3 years ago
7 0
(-5 \sqrt{20} + \sqrt{3} )(2+ \sqrt{3} )\\ \\ -10 \sqrt{20}-5 \sqrt{60}  +2 \sqrt{3}+ \sqrt{9}   \\  \\ -20 \sqrt{5}-10 \sqrt{15}+2 \sqrt{3}+3


Answer is <span>c. the student did not properly simplify all radicals.
[5</span>√60 = 10√15, not 20√15]
wel3 years ago
5 0

Answer:

C) The student did not properly simplify all radicals.

Step-by-step explanation:

We are given the following expression in the question:

(-5\sqrt{20}+\sqrt{3})(2+\sqrt{3})

We have to apply the distributive property.

Distributive Property:

  • The distributive property helps multiply a sum by multiplying each addend separately and then add the products.
  • (a+b)(c+d) = ac + ad + bc + bd

Applying the distributive property:

(-5\sqrt{20}+\sqrt{3})(2+\sqrt{3})\\(-5\sqrt{20})(2) + (-5\sqrt{20})(\sqrt3) + (\sqrt3)(2) + (\sqrt3)(\sqrt3)\\-10\sqrt{20}-5\sqrt{60}+2\sqrt3 +\sqrt9

This can be further simplified as:

-10\sqrt{20}-5\sqrt{60}+2\sqrt3+\sqrt9\\-20\sqrt{5}-10\sqrt{15}+2\sqrt3+3

The student simplified the radical as:

-40\sqrt{20}-20\sqrt{60}+2\sqrt3+\sqrt3

The student did a mistake in simplifying the radical. He did not solve the square roots properly.

C) The student did not properly simplify all radicals.

You might be interested in
Plz help I will mark brainliest if correct ​
Alekssandra [29.7K]

Answer:

A ................................

6 0
3 years ago
Read 2 more answers
Help please n ty :P<br> sdhgfahedgewkgfzndb
Ugo [173]

Answer:

y=-3.2\\\\y=-2.2\\\\y=-1.8

Step-by-step explanation:

Insert the given x values for the given equation to find the corresponding y coordinate:

y=0.2x-2

x:-6,-1,1

Insert -6:

y=0.2(-6)-2

Simplify multiplication (when multiplying a negative and a positive, the result will always be negative):

y=-1.2-2

Simplify (when subtracting from a negative number, add the values, but keep the negative symbol):

y=-3.2

Insert -1:

y=0.2(-1)-2\\\\y=-0.2-2\\\\y=-2.2

Insert 1:

y=0.2(1)-2\\\\y=0.2-2\\\\y=-1.8

:Done

3 0
2 years ago
Please help me this is due in less than 45 minutes!
Natasha_Volkova [10]

Answer:

1.) It's 20th century painting

2.) 0.5 probability

Step-by-step explanation:

If the universal = 60

We need to first get the value of X. That is,

x (x - 2) + x + 2x + 8 + 10 = 60

First open the bracket

x^2 - 2x + x + 2x + 8 + 10 = 60

x^2 + x + 18 = 60

x^2 + x - 42 = 0

Factorise the above equation

x^2 + 7x - 6x - 42 = 0

x (x + 7) -6(x + 7) = 0

x = 6 or - 7

Since x can't be negative, so we will ignore -7

The value for T = 6(6 - 2) = 6×4 = 24

The value for B = 2(6) + 8 = 12 + 8 = 20

If a painting is chosen from random,

If it's from 20th century, the probability will be 34/60 = 0.567

If it's from British painting, the probability will be 30/60 = 0.5

We can therefore conclude that it's from 20th century painting since it has higher value of probability.

The the probability of choosing a British painting will be 30/60 = 0.5

5 0
3 years ago
What is |-8|? I really need help ​
velikii [3]

Answer:

8 is the correct answer

8 0
2 years ago
The astronomical unit (AU) is the mean distance from the sun to the earth.
Mrac [35]
By definition, we have to
 1 AU = 1.5 * 10 ^ 8Km
 a comet is 2.3 AU from the earth, which means that we must transform this unit to kilometers.
 2.3 AU = (2.3) * (1.5 * 10 ^ 8) = 3.45 * 10 ^ 8km
 answer
<span> 3.45 × 10,superscript,8,baseline, km
</span>
7 0
3 years ago
Read 2 more answers
Other questions:
  • Which number line represents the solution set for the inequality -4(x + 3) S-2 - 2x?
    9·1 answer
  • Simplify − 11 50 (1.32 + 0.48)
    9·2 answers
  • Which is a possible expression for the series<br> –7 + 12 –17 +22 –27
    15·1 answer
  • Can you help me on this. It is due today
    12·1 answer
  • In the list of numbers, 6, x, 10, 2, 7, 13, and 15, the median is 10.
    8·1 answer
  • Ethan has 3 pounds of nuts .How many ounces of mixed nuts does Ethan have
    8·1 answer
  • . What is 60% of 52?<br> SHOW WORK:
    13·2 answers
  • My friend Dubble got 10 rews and corazs for about $32. Rews for $2 each and some corazs for $8 each
    7·1 answer
  • Plsss someone help me pls!!! PART B: identify congruent angles
    5·1 answer
  • one table has 8 people with 3 pizzas another table has 10 people with 4 pizzas which table has more pizza?
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!