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
USPshnik [31]
3 years ago
9

Find the distance of the line segment joining the two points (-4 /2 - /12) and (/32, 2/3)

Mathematics
1 answer:
astraxan [27]3 years ago
3 0

Answer: 4\sqrt{3} .

Step-by-step explanation:

Distance formula : Distance between points (a,b) and (c,d) is given by :-

D=\sqrt{(d-b)^2+(b-a)^2}

Distance between points (-4\sqrt{2},\sqrt{12}) \text{ and }(-\sqrt{32}, 2\sqrt{3}).

D=\sqrt{(2\sqrt{3}-(-\sqrt{12}))^2+(-\sqrt{32}-(-4\sqrt{2}))}\\\\=\sqrt{(2\sqrt{3}+\sqrt{2\times2\times3})^2+(-\sqrt{4\times4\times2}+4\sqrt{2})^2}\\\\=\sqrt{(2\sqrt{3}-\sqrt{2^2\times3})^2+(-\sqrt{4^2\times2}+4\sqrt{2})^2}\\\\=\sqrt{(2\sqrt{3}+2\sqrt{3})^2+(-4\sqrt{2}+4\sqrt{2})^2}\\\\=\sqrt{(4\sqrt{3})^2+0}\\\\=4\sqrt{3}\text{ units}

Hence, the correct option is 4\sqrt{3} .

You might be interested in
5x - y = -3 in slope intercept form?
mixas84 [53]
5x-y=-8 | subtract 5x from both sides.


-y = -5x - 8 | divide both sides by -1


y = 5x + 8 Done.
6 0
3 years ago
Read 2 more answers
13 In 2010, Cool Game Corporation made a profit of $84.7 million.
PSYCHO15rus [73]
In 2009 the company made thirty-eight million five hundred thousand dollars
8 0
2 years ago
Find the length of side a.<br> 15<br> 9<br> O A. 6<br> B. V 306<br> C. 12<br> D. 144
Leni [432]

Answer:

12

Step-by-step explanation:

A² + B² = C²

9² + B² = 15²

81 + B² = 225

B² = 144

B = 12

8 0
2 years ago
Read 2 more answers
Camilla's employer pays 90% of the total cost of her family's health insurance
Irina-Kira [14]

Answer:

B. $10

Step-by-step explanation:

Camila's employer pays 90% of the total cost of her family's health insurance

plan

Therefore, Camilla pays only 10%

If the total cost of the plan increases from $850 per month to $950 per month, how much more will Camilla have to pay

each month?

Amount of health insurance Camilla pays at $850 per month = 10% of $850

= 0.1 * $850

= $85

Amount of health insurance Camilla pays at $950 per month = 10% of $950

= 0.1 * $950

= $95

Amount Camilla pays more = $95 - $85

= $10

B. $10

8 0
3 years ago
13.41 x (5.4 divided by 9)
BabaBlast [244]

The value of the expression will be 8.166.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The mathematical expression is,

⇒ 13.41 x (5.4 divided by 9)

Now,

Solve the expression as;

⇒ 13.41 x (5.4 divided by 9)

⇒ 13.41 x (5.4 ÷ 9)

⇒ 13.41 x 0.6

⇒ 8.166

Thus, The value of the expression will be 8.166.

Learn more about the expression visit:

brainly.com/question/4344214

#SPJ1

6 0
1 year ago
Other questions:
  • 0.1x+0.2y=-1;0.5x-0.9y=6.4
    6·1 answer
  • Joey buys a home for $263,000. His home is predicted to increase in value 5% each year.
    8·2 answers
  • The sum of 6 even integers is 130 what is the 2nd number in the sequence
    14·2 answers
  • The scale of a room in a blueprint is 3in:5ft. A wall in the same blueprint is 18in. Plzzz complete table
    14·1 answer
  • Will give lots of points/write a rule to describe each transformation
    14·1 answer
  • 22. An employee joined a company in 2017 with a starting salary of $50,000. Every year this employee receives a raise of $1000 p
    11·1 answer
  • Select true or false for each statement
    5·1 answer
  • If a dice is rolled 240 times how many times do you think it will land on each number?​
    6·1 answer
  • HELP<br> WRITE AS EQUATION IR EXPRESSION<br> 500 decreased by sum of a number and 2 is 300
    5·1 answer
  • If you had a bowl of marbles and toothpicks, how can you separate the marbles and toothpicks without touching them using one of
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!