Y coordinate on solving both equations comes out to be 0
-2x+3y=-6
3y = -6+2x
put the value of 3y in equation 2nd
5x-2(-6+2x) =15
5x+12-4x = 15
x=3
put value of X in 3y = -6+2x
3y = -6+2*3 = -6+6 = 0
thus y = 0

7 0

3 years ago

During the 2005 football season Team Tackle beat Team Sack by 18 points their combined scores totaled 66. the individual team sc

igomit [66]

1. 40 points 2. 21 points

5 0

3 years ago

Given z=f(x,y),x=x(u,v),y=y(u,v), with x(4,1)=5 and y(4,1)=2, calculate zv(4,1) in terms of some of the values given in the tabl

Yuliya22 [10]

$z=f(x(u,v),y(u,v))\implies z_v=f_xx_v+f_yy_v$

$z_v(4,1)=f_x(5)x_v(4,1)+f_y(2)y_v(4,1)$

No table = incomplete answer

3 0

3 years ago

Write three consecutive numbers starting with number n+1, where n is natural number. Find the sum of those numbers and prove tha

netineya [11]

Consecutive numbers differ by one, which means that if you start with a certain integer $x$ , you obtain the next integer by adding one.

So, if you start with $n+1$ , the three consecutive numbers are

$n+1,\quad (n+1)+1 = n+2,\quad (n+2)+1 = n+3$

The sum of these three numbers is

$(n+1) + (n+2) + (n+3) = 3n+6$

This number is divisible by 3 because you can write it as

$3n+6 = 3(n+2)$

Note that this is true in general: the sum of three consecutive numbers is always divisible by three, because it is three times the middle number.

5 0

3 years ago