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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
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► 00:00
Viefleur [7K]

Answer:

Proof

Step-by-step explanation:

PROOF can be said to be logical mathematical argument in which every statement of fact is supported by a reason

due to the fact mathematical proof is an inferential argument for a mathematical statement because it help to shows that the assumptions stated logically guarantee and enables the conclusion.

Therefore Proofs can be said to be an examples of exhaustive deductive reasoning because they tend to often establish logical certainty which can be differentiated from empirical arguments which inturn help to establish reasonable and effectively expectation as well as employ logic expressed in mathematical symbols which is why proofs are often written in terms of rigorous informal logic

7 0
3 years ago
In ΔNOP, m∠N = 110° and m∠O = 38°. Which list has the sides of ΔNOP in order from longest to shortest?
fredd [130]

Answer:

The largest side is OP.

Step-by-step explanation:

ΔNOP, m∠N = 110° and m∠O = 38°

According to he property of the triangle, the sum of all the angles of the triangle is 180°,  

So,

m∠N +  m∠O + m∠P = 180°

110° + 38° + m∠P = 180°

m∠P  =  32°

The side opposite to the largest angle is largest.

Here the largest angle is m∠N  so the largest side is OP.

8 0
2 years ago
'calcula que signo tiene el producto de cien números enteros, sabiendo que 27 de ellos son positivos y que ninguno es cero''.
prisoha [69]

Answer:

si a

Step-by-step explanation:

4 0
2 years ago
Need help, please explain
Sever21 [200]

Answer:

(x - 2)(x + 2)

Step-by-step explanation:

x² - 4 ← is a difference of squares and factors in general as

a² - b² = (a - b)(a + b), that is a product of two binomials

Given

x² - 4

= x² - 2²

= (x - 2)(x + 2)

7 0
2 years ago
A cylindrical cardboard mailing tube has a diameter of 5 in. and a height of 30 in. A total of 30% of the tube’s capacity is fil
olga2289 [7]
First is to get the volume of the cylinder.
Volume = pi * r^2 * H
Volume = 3.1416 * (5/2)^2 * 30
Volume = 589.05 in^3

30% is already filled.
Filled Space = 589.05 * 0.30
Filled Space = 176.715 in^3
Empty Space = 412.335 in^3

Next, get the volume of the sphere.
V = (4/3)*pi*r^3
V = (4/3)*pi*(0.6/2)^3
V = 0.1130976 in^3

Number of foams = Filled Space / V
Number of foams = 176.715 / <span>0.1130976 
Number of foams = 1562 Foams</span>
5 0
3 years ago
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