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
tia_tia [17]
3 years ago
11

Which expression is the additive inverse of 13/6​

Mathematics
1 answer:
ser-zykov [4K]3 years ago
5 0

Answer:

b = - \frac{13}{6}  is the additive inverse of the given expression \frac{13}{6}

Step-by-step explanation:

Additive Inverse  of any arbitrary number a is a number b, such that

a + b  = 0

Here, a = Additive Inverse of b  

and  b  = Additive Inverse of a.

Now, here the given number is 13 / 6.

Let b be its additive inverse.

⇒\frac{13}{6}  + b = 0   \implies b = 0 -  \frac{13}{6}  = -\frac{13}{6}

Hence, b = - \frac{13}{6}  is the additive inverse of the given expression \frac{13}{6}

You might be interested in
If a and b are two angles in standard position in Quadrant I, find cos(a+b) for the given function values. sin a=15/17and cos b=
tensa zangetsu [6.8K]

The value of cos(a+b) for the angles a and b in standard position in the first quadrant is -\frac{36}{85}

We need to find the value of cos(a+b). To proceed, we need to use the compound angle formula

<h3>Cosine of a sum of two angles</h3>

The cosine of the sum of two angles a and b is given below

cos(a+b)=cos(a)cos(b)-sin(a)sin(b)

We are given

sin(a)=\dfrac{15}{17}\\\\cos(b)=\dfrac{3}{5}

We need to find sin(b) and cos(a), using the identity

sin^2(\theta)+cos^2(\theta)=1

<h3>Find sin(b)</h3>

To find sin(b), note that

sin^2(b)+cos^2(b)=1\\\\\implies sin(b)=\sqrt{1-cos^2(b)}

substituting \frac{3}{5} for cos(b) in the identity, we get

sin(b)=\sqrt{1-cos^2(b)}\\\\=\sqrt{1-\left(\dfrac{3}{5}\right)^2}=\dfrac{4}{5}

<h3>Find cos(a)</h3>

To find cos(a), note that

sin^2(a)+cos^2(a)=1\\\\\implies cos(a)=\sqrt{1-sin^2(a)}

substituting \frac{15}{17} for sin(a) in the identity, we get

cos(a)=\sqrt{1-sin^2(a)}\\\\=\sqrt{1-\left(\dfrac{15}{17}\right)^2}=\dfrac{8}{17}

<h3>Find the value of cos(a+b)</h3>

We can now make use of the formula

cos(a+b)=cos(a)cos(b)-sin(a)sin(b)

to find cos(a+b).

cos(a+b)=cos(a)cos(b)-sin(a)sin(b)\\\\=\dfrac{8}{17}\cdot\dfrac{3}{5}-\dfrac{15}{17}\cdot\dfrac{4}{5}=-\dfrac{36}{85}

Learn more about sine and cosine of compound angles here brainly.com/question/24305408

8 0
2 years ago
In a lab experiment, 8700 bacteria are placed in a petri dish. The conditions are such
sesenic [268]

Answer: 28.4

Step-by-step explanation:

7 0
3 years ago
Cookie Distribution
matrenka [14]

Answer:

They will get 5 packs each

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
A school paid $248 for new basketballs and soccer balls. The number of basketballs purchased was 6 less than 3 times the number
andreyandreev [35.5K]

Answer:

4 Soccer balls and 6 Basketballs

Step-by-step explanation:

You can solve this problem by setting up a system of equations. Letting x be Soccer balls and y be Basketballs. Remember, Money goes with, Money goes with Money, meaning that for this problem the first equation that can be made is $248 = $28y + $20x with Y being basketballs and x being soccerballs. Next is a little more difficult. You will be creating the equation y=3x-6 because it is 6 less than 3 times the amount of x or Soccer balls. From here you can plug in the equations into a graphing calculator and graph it and see where the two lines intersect. This would be at (4, 6). When I said to let x equal Soccer Balls and y equal basketballs that is where I got the 4 soccer balls and 6 basketballs.

5 0
3 years ago
Ivan and 3 acrobats are matched up against a team of grandma's. The result is a tie the 2 sides are evenly matched. How many gra
Neporo4naja [7]

Answer:

Step-by-step explanation:

Ivan and 3 others were evenly matched.

1+3=4

So there were 4 grandmas on the other team. :)

4 0
3 years ago
Other questions:
  • A table of values of a linear function is shown below. Find the output when the input is n. Type your answer in the space provid
    8·1 answer
  • Please help me thank you. :)
    6·1 answer
  • A store is offering a 25% discount on all items. Also, employees get a 10% employee discount. If you are an employee which disco
    5·1 answer
  • Show me two ways you can find 4x754 using two different methods
    6·1 answer
  • Find the mean, median, mode, and range of the data shown below. Round answers to one decimal place (tenth's place).
    10·1 answer
  • Please help solve ive been on this question for hours
    10·2 answers
  • I need help with finding the missing angle measures
    9·2 answers
  • On a road map, the distance between 2 cities is 2.5 inches. The map scale is 1 inch:30 miles. What is the actual distance betwee
    5·2 answers
  • 1st Coordinate Point: (1.4)
    5·1 answer
  • Select from the drop-down menu to correctly identify the property shown. 3.8+(−4.8+(−6.2))=(3.8+(−4.8))+(−6.2) Choose...
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!