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
Scrat [10]
3 years ago
10

M(2,5) is the midpoint of RS. The coordinates of S are (3,9). What are the coordinates of R?

Mathematics
1 answer:
kobusy [5.1K]3 years ago
5 0

\bf ~~~~~~~~~~~~\textit{middle point of 2 points } \\\\ R(\stackrel{x_1}{x}~,~\stackrel{y_1}{y})\qquad S(\stackrel{x_2}{3}~,~\stackrel{y_2}{9}) \qquad \left(\cfrac{ x_2 + x_1}{2}~~~ ,~~~ \cfrac{ y_2 + y_1}{2} \right) \\\\\\ \left( \cfrac{3+x}{2}~~,~~\cfrac{9+y}{2} \right)~~=~~\stackrel{M}{(2~,~5)}\implies \begin{cases} \cfrac{3+x}{2}=2\\[1em] 3+x=4\\ \boxed{x = 1}\\ \cline{1-1} \cfrac{9+y}{2}=5\\[1em] 9+y=10\\ \boxed{y=1} \end{cases}

You might be interested in
(−t 4 −5t 3 −10t 2 )+(9t 3 +3t 2 −1)
klemol [59]

Answer:

\left(-t^4-5t^3-10t^2\right)+\left(9t^3+3t^2-1\right)=-t^4+4t^3-7t^2-1

Step-by-step explanation:

Given the expression

\left(-t^4\:-5t^3\:-10t^2\:\right)+\left(9t^3\:+3t^2\:-1\right)

Remove parentheses:  (a)=a

=-t^4-5t^3-10t^2+9t^3+3t^2-1

Group like terms

=-t^4-5t^3+9t^3-10t^2+3t^2-1

Add similar elements        

=-t^4-5t^3+9t^3-7t^2-1         ∵ -10t^2+3t^2=-7t^2

Add similar elements        

=-t^4+4t^3-7t^2-1                  ∵  -5t^3+9t^3=4t^3

Thus, the equivalent expression in simplified form:

\left(-t^4-5t^3-10t^2\right)+\left(9t^3+3t^2-1\right)=-t^4+4t^3-7t^2-1

4 0
3 years ago
3 and 7/10 x 4 and 4/5<br> Please help<br> I want to now if my answer is correct
BabaBlast [244]
The answer is 17 and 19/25
3 0
3 years ago
What is the ratio for
sweet [91]

Answer:

12/13

Step-by-step explanation:

By definition, for a right triangle with an internal angle X

sin X = length of opposite side / length of hypotenuse

in this case,

for angle F, the opposite side = GH and the hypotenuse is HF

hence

sin F = GH / HF = 12/13

4 0
2 years ago
Read 2 more answers
The scale factor of the dimensions of two similar wood floors is 5 ​: 3. It costs ​$144 to refinish the smaller wood floor. At t
Eva8 [605]

Answer: 240

Step-by-step explanation:

144/3 = 48

5x48= 240

6 0
3 years ago
2. Kaleb went out to eat and spent $36. He wanted to include a 15% tip. What is
Likurg_2 [28]

Answer:

41.40

Step-by-step explanation: 36*.15=5.40, 36+5.40=41.40

3 0
3 years ago
Other questions:
  • The points (10, 6) and (7, u) fall on a line with a slope of -4/3. what is the value of u?
    13·1 answer
  • Today, noah swam 1 mile at swim practice and Liam sprinted 880 yards at track practice. How many more yards did Noah travel duri
    8·1 answer
  • What is the diffrence between 4x (4 to the power of x) and x4 (x to the power of 4)? evalutate both of these expressions when x=
    9·1 answer
  • Which statement describes the Chandra X-ray observatory?
    6·2 answers
  • Vera's office recycled a total of 4 kilograms of paper over 2 weeks. After 7 weeks, how many kilograms of paper will Vera's offi
    13·1 answer
  • How does the size of an image compare to the original figure when the original figure undergoes a
    10·1 answer
  • If u help me then i will love you forever
    8·1 answer
  • Describe what happens to the exponential function when the value of "k" is<br> positive. *
    8·1 answer
  • You have 220 meters of fencing to create a rectangular field. What should the dimensions of the field be in order for the area t
    7·1 answer
  • 193 is what percent of 256? Round to the nearest thousandth.
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!