Given equations are x- - y-z = 2, - x - 3 y - 2 z + 4, -x - 2 z = 10 .
It seems you have missed to write = in the 2nd equation so i have fixed the sign and going to solve the following system of equations:
x-y-z=2 ...(i)
-x-3y-2z=4 ...(ii)
-x-2z=10 ...(iii)
solve (i) for x
x=2+y+z ...(iv)
plug (iv) into (ii)
-x-3y-2z=4
-(2+y+z)-3y-2z=4
-2-y-z-3y-2z=4
-2-4y-3z=4
-4y-3z=6...(v)
plug (iv) into (iii)
-x-2z=10
-(2+y+z)-2z=10
-2-y-z-2z=10
-2-y-3z=10
-y=12+3z
y=-12-3z...(vi)
plug (vi) into (v)
-4y-3z=6
-4(-12-3z)-3z=6
48+12z-3z=6
48+9z=6
9z=-42
z=-14/3
Now plug value of z into (vi)
y=-12-3z=-12-3(-14/3)=-12+14=2
y=2
plug value of y and z into (iv)
x=2+y+z=2+2-14/3=-2/3
Hence final answer is x=-2/3, y=2, z=-14/3
The <em><u>correct answer</u></em> is:
pairs 2, 3, and 4
Explanation:
Congruent polygons are polygons that have the same size and the same shape. We can see from the diagram that the figure in pair 2 has been rotated to form the second figure in the pair. Since the shape and size were not changed, they are congruent.
The figure in pair 3 has also been rotated; this again preserves size and shape, so the figures are congruent.
The figure in pair 4 sees to have been reflected. This did not change the size or shape of the figure, so the pair is congruent.
Estimation is always helpful when it comes to math. By estimating, you will have a good idea with what the final answer should be before you actually get it. This way, you will hopefully be able to have a good sense of whether the answer is wrong
Answer:
1 is the mistake
Step-by-step explanation:
Answer:
1/12
Step-by-step explanation:
P(5) = number of 5's on the die / total sides
P (5) = 1/6
P ( tails) = number of tails/ total
= 1/2
P (5, then tails)= P (5) *P ( tails)
= 1/6 * 1/2
= 1/12
