If you divide 36 by 4, it equals 9, so each side is 9. Then you multiply 9 to 9, which equals 81 in^2.
The system is:
i) <span>2x – 3y – 2z = 4
ii) </span><span>x + 3y + 2z = –7
</span>iii) <span>–4x – 4y – 2z = 10
the last equation can be simplified, by dividing by -2,
thus we have:
</span>i) 2x – 3y – 2z = 4
ii) x + 3y + 2z = –7
iii) 2x +2y +z = -5
The procedure to solve the system is as follows:
first use any pairs of 2 equations (for example i and ii, i and iii) and equalize them by using one of the variables:
i) 2x – 3y – 2z = 4
iii) 2x +2y +z = -5
2x can be written as 3y+2z+4 from the first equation, and -2y-z-5 from the third equation.
Equalize:
3y+2z+4=-2y-z-5, group common terms:
5y+3z=-9
similarly, using i and ii, eliminate x:
i) 2x – 3y – 2z = 4
ii) x + 3y + 2z = –7
multiply the second equation by 2:
i) 2x – 3y – 2z = 4
ii) 2x + 6y + 4z = –14
thus 2x=3y+2z+4 from i and 2x=-6y-4z-14 from ii:
3y+2z+4=-6y-4z-14
9y+6z=-18
So we get 2 equations with variables y and z:
a) 5y+3z=-9
b) 9y+6z=-18
now the aim of the method is clear: We eliminate one of the variables, creating a system of 2 linear equations with 2 variables, which we can solve by any of the standard methods.
Let's use elimination method, multiply the equation a by -2:
a) -10y-6z=18
b) 9y+6z=-18
------------------------ add the equations:
-10y+9y-6z+6z=18-18
-y=0
y=0,
thus :
9y+6z=-18
0+6z=-18
z=-3
Finally to find x, use any of the equations i, ii or iii:
<span>2x – 3y – 2z = 4
</span>
<span>2x – 3*0 – 2(-3) = 4
2x+6=4
2x=-2
x=-1
Solution: (x, y, z) = (-1, 0, -3 )
Remark: it is always a good attitude to check the answer, because often calculations mistakes can be made:
check by substituting x=-1, y=0, z=-3 in each of the 3 equations and see that for these numbers the equalities hold.</span>
Answer:
-3.92 N
Step-by-step explanation:
We are given that
Mass of ball=0.4 kg
Acceleration due to gravity=
Because the ball flies against to gravity
We have to find the net force acting on the ball while it is in motion.
We know that when there is no air resistance then the net force acts on the ball is equal to weight of ball.
Net force,F =mg
Substitute the values then we get
Hence, the net force acting on the ball while it is on motion=-3.92 N
Answer:
Hay probabilidad
Step-by-step explanation:
porque hay mas boligrafos rojos que azules
Answer:
The correct way to set up the slope formula for the line that passes through points (5 , 0) and (6 , -6) is 
⇒ C
Step-by-step explanation:
The formula of the slope of a line passes through points 
and 
is 
∵ The line passes through points (5 , 0) and (6 , -6)
∴ 
= 5 and 
= 6
∴ 
= 0 and 
= -6
Substitute these values in the formula of the slope
∵
∴ 
Let us look to the answer and find the same formula
The answer is:
The correct way to set up the slope formula for the line that passes through points (5 , 0) and (6 , -6) is
