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
Amiraneli [1.4K]
3 years ago
6

If x and y in the equations

Mathematics
1 answer:
Brums [2.3K]3 years ago
5 0
We can let
   a = 1/(x-1)
   b = 1/(y+2)
and rewrite the equations as
   2a - b = 10
   a + 3b = -9
Using the first to write an expression for b, we get
   b = 2a - 10
Substituting this into the second equation gives
   a + 3(2a -10) = -9
   7a -30 = -9 . . . . . . . . simplify
   7a = 21 . . . . . . . . . . .add 30
   a = 3
   b = 2·3 - 10 = -4

Now, we can find x and y.
    3 = 1/(x -1)
    x - 1 = 1/3
    x = 1 1/3 = 4/3

    -4 = 1/(y +2)
    y +2 = -1/4
    y = -2 1/4 = -9/4

Then the desired sum is
    x + y = 4/3 -9/4 = (16 -27)/12
    x + y = -11/12

The appropriate choice is ..
   c. -11/12
You might be interested in
Two lines intersect in more than one point<br><br> always<br> sometimes<br> never
GuDViN [60]
The answer is never, that is, on a 2 dimensional plane. You can perform an experiment to see why it is the case. On curved surfaces though, two lines can intersect one another more than once. For instance, on the surface of planet Earth, two lines can intersect one another, both at the Earth's North Pole and South Pole.
5 0
3 years ago
What is the surface area of the cylinder in terms of pi? The diagram is not drawn to scale.
bearhunter [10]
Surface Area = 2πr² + 2πrh 

Surface Area = 2π(7)² + 2π(7)(15) = 308π in²²

Answer: 308π in²
3 0
3 years ago
Pls I need the answer for 3 and 4 and it’s very hard
Elodia [21]
#4 is 47, 48, 49

47+48+49=144
4 0
3 years ago
Prove that if {x1x2.......xk}isany
Radda [10]

Answer:

See the proof below.

Step-by-step explanation:

What we need to proof is this: "Assuming X a vector space over a scalar field C. Let X= {x1,x2,....,xn} a set of vectors in X, where n\geq 2. If the set X is linearly dependent if and only if at least one of the vectors in X can be written as a linear combination of the other vectors"

Proof

Since we have a if and only if w need to proof the statement on the two possible ways.

If X is linearly dependent, then a vector is a linear combination

We suppose the set X= (x_1, x_2,....,x_n) is linearly dependent, so then by definition we have scalars c_1,c_2,....,c_n in C such that:

c_1 x_1 +c_2 x_2 +.....+c_n x_n =0

And not all the scalars c_1,c_2,....,c_n are equal to 0.

Since at least one constant is non zero we can assume for example that c_1 \neq 0, and we have this:

c_1 v_1 = -c_2 v_2 -c_3 v_3 -.... -c_n v_n

We can divide by c1 since we assume that c_1 \neq 0 and we have this:

v_1= -\frac{c_2}{c_1} v_2 -\frac{c_3}{c_1} v_3 - .....- \frac{c_n}{c_1} v_n

And as we can see the vector v_1 can be written a a linear combination of the remaining vectors v_2,v_3,...,v_n. We select v1 but we can select any vector and we get the same result.

If a vector is a linear combination, then X is linearly dependent

We assume on this case that X is a linear combination of the remaining vectors, as on the last part we can assume that we select v_1 and we have this:

v_1 = c_2 v_2 + c_3 v_3 +...+c_n v_n

For scalars defined c_2,c_3,...,c_n in C. So then we have this:

v_1 -c_2 v_2 -c_3 v_3 - ....-c_n v_n =0

So then we can conclude that the set X is linearly dependent.

And that complet the proof for this case.

5 0
3 years ago
Help ASAP need to be done
Artist 52 [7]
The answer for the graph is x ≤ 5
6 0
2 years ago
Read 2 more answers
Other questions:
  • the clock below shows the time when amber leaves home from school.At what time does amber leave home
    13·1 answer
  • PLEASE HELP ASAP!!! 28 POINTS!
    15·2 answers
  • What is 78.6 in word form
    15·2 answers
  • What is f(-6)? Help!!!!!!!!!!
    7·1 answer
  • One of Alberto's zebra danios is 4/3 the length of one of his fancy guppies. Which fish is longer? Explain how you know.
    14·1 answer
  • What property is shown in the example below?
    12·2 answers
  • You are running a fuel economy study. One of the cars you find is blue. It can travel 41 1/2 on 1 1/4 of gasoline. Another car i
    14·2 answers
  • Help me fast fast 10 and 11​
    12·2 answers
  • Find the value of x and y if: (x-yi)+ 7-2i =9-i​
    6·1 answer
  • Match each expression to its equivalent expression.
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!