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
PtichkaEL [24]
3 years ago
12

Solve the formula for the indicated variable. T(r+s)=rs, for r (Simplify your answer.)

Mathematics
2 answers:
podryga [215]3 years ago
7 0

Hello!

The distributive property is going to be very important in this. It states that when you have a variable multiplied by a set of parenthesis, you distribute that variable inside the parenthesis (as long as the operations inside the parenthesis are addition or subtraction). For example, 2(x + 4), you can distribute the 2 to x and 4, to get 2x + 2(4).

Now, distribute t to inside the parenthesis.

T(r + s) = rs

Tr + Ts = rs

Now, move everything with an r in it to the right side.

Tr + Ts = rs

Ts = rs - Tr

Use the opposite of the distributive property, to extract r from the right side.

Ts = rs - Tr

Ts = r (s - T)

And divide both sides by s - T to isolate the r.

Ts = r (s - T)

\frac{Ts}{s-T} = r

Hope this helps!

yaroslaw [1]3 years ago
5 0

Answer:

R = \frac{-TS}{(T-S)}

Step-by-step explanation:

First, distribute all terms

T(R+S) =RS\\TR + TS =RS

Get all terms with R onto the same side

TR + TS = RS\\TR - RS = -TS

Factor out the R

R(T-S)=-TS

Divide by (T-S) to isolate R

R = \frac{-TS}{(T-S)}

You might be interested in
Kristian ordered 3 DVDS by mail each dvd cost the same amount with a $6 shipping charge the total cost was $42 how much did each
Natasha2012 [34]

Answer:

$12

Step-by-step explanation:

42 - 6 = 36

36/3

12

7 0
3 years ago
Ram deposited a sum of Rs 4500 in a bank at the rate of 8% per year for 2.5 years find the interest of the sum and find the amou
Andrej [43]

Step-by-step explanation:

..I have Solve the question in the pic.

8 0
2 years ago
Read 2 more answers
Add (4x^2-xy-y^2) and (x^2+5xy+8y^2) simplify your answer:
bazaltina [42]

Answer:

To find a, b, and c, rewrite in the standard form ax2+bx+c=0ax2+bx+c=0.

a=1, b=3, c=0

8 0
3 years ago
Read 2 more answers
GEOMETRY <br> please Help
geniusboy [140]

Answer:

A right circular cone

Step-by-step explanation:

7 0
3 years ago
3 multiply by 2x - 5 = 27.
jeka94

Answer:

x=2.7

Step-by-step explanation:

27 divided by 5 = 5.4 and 5.4 divided by 2 = 2.7

8 0
3 years ago
Other questions:
  • Please help <br> i really appreciate it
    11·1 answer
  • Five children have £23.09 altogether. Three children have between £5 and £6,and 2 have between £3 and £4. How much could they ea
    9·2 answers
  • Find the circumference and the area of a circle with radius 9<br> .
    8·1 answer
  • Lisa places 5 rows of 4 juice boxes in the refrigerator . draw an array and skip count to find the total number of juice boxes
    8·2 answers
  • There is a bag filled with 4 blue and 5 red marbles. A marble is taken at random from the bag, the colour is noted and then it i
    9·1 answer
  • Will give Brinley crown thing! :)
    12·1 answer
  • If X=sin 130° + cos 130° then<br>1)X&lt;0 2)X=0 3)X&gt;0 4)X greater than or equal to 0​
    7·1 answer
  • Best answer will get Brainliest
    10·1 answer
  • Multiply = x(.67)<br><br> Multiply=x-.33x
    9·1 answer
  • Please i need help!!!
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!