Answer:
15 x - 35 x y
Step-by-step explanation:
5 x (3-7 y)
5 * 3 x - 7 * 5 x y
= 15 x - 35 x y
Step-by-step explanation:
-4m -5n = 1 ------------------(1)
-6m +12n = -18--------------(2)
multiplying eq (1) by 3 and (2) by 2
therefore, the new eq obtained is
-12m -15n = 3 --------------(3) subtracting (3) AND
-12m +24n = -36-----------(4) <u>(</u><u>4</u><u>)</u>
(+) (-) (+)
-----------<em>-</em><em>-</em><em>-</em><em>-</em><em>-</em><em>-</em><em>-</em><em>-</em><em>-</em><em>-</em><em>-</em><em>-</em><em>-</em><em>-</em><em>-</em>
<em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em>-</em><em>3</em><em>9</em><em>n</em> = 39
n= -1 ------------(5)
subtituting (5) in (1)
therefore,
-4m -5×-1 =1
-4m +5=1
-4m=1-5
-4m=-4
m= 1
hence calue of m is 1 and n is -1
Answer:
An irrational number is a number that can not be written as the quotient of two integer numbers.
Then if we have:
A = a rational number
B = a irrational number.
Then we can write:
A = x/y
Then the product of A and B can be written as:
A*B = (x/y)*B
Now, let's assume that this product is a rational number, then the product can be written as the quotient between two integer numbers.
(x/y)*B = (m/n)
If we isolate B, we get:
B = (m/n)*(y/x)
We can rewrite this as:
B = (m*y)/(n*x)
Where m, n, y, and x are integer numbers, then:
m*y is an integer
n*x is an integer.
Then B can be written as the quotient of two integer numbers, but this contradicts the initial hypothesis where we assumed that B was an irrational number.
Then the product of an irrational number and a rational number different than zero is always an irrational number.
We need to add the fact that the rational number is different than zero because if:
B is an irrational number
And we multiply it by zero, we get:
B*0 = 0
Then the product of an irrational number and zero is zero, which is a rational number.
The displacement vector is the imaginary straight line drawn from the starting point to the ending point.
Answer: B