-3x + 2y + z = -6
(3)x + 3y + 2z = 5(3) We want to get rid of any variable within 2 equations. The easiest one would be by multiplying both sides of eq#2 by 3 and add it to eq#1.
-3x+2y+z=-6
3x+9y+6z=15
Add them together to get 11y+7z=9
(-4)x+3y+2z=5(-4) Now,multiply the original eq#2 by -4 to cancel out x in the last equation
-4x-12y-8z=-20
4x + 4y + 3z = 13
add them together to get -8y-5z=-7
Now multiply the eq 11y+7z=9 by 5 and the equation -8y-5z=-7 by 7 to cancel out the z variable when we add them together.
Once we multiply them, we get
-56y-35z=-49
55y+35z=45
add them together to get -y=-4 and we know y=4
substitute y into any equation here that has y and any other 1 variable like -8y-5z=-7 and get z=-5
Finally, we know y=4 and z=-5, we can substitue that into any of the original eqs like -3x + 2y + z = -6 and we get x=-3
To check, just substitute these values into any of the equations above
(1/6)^5
= 1/7776
Cool? Hope this helps
<h3>
Answer: 22 square inches</h3>
======================================================
Explanation:
The white rectangle is 3 by 6 with area of 3*6 = 18 square inches.
The larger rectangle is 8 by 5 with area of 8*5 = 40 square inches.
The difference of these will get us the shaded area:
40 - 18 = 22 square inches
Answer:
38
Step-by-step explanation:
hope that help
Answer:
1) Is 90° because that's what the little square in the corner means.
2) Is 60° because if you take everything to the right of the vertical line and add them up, and then subtract the total from 180° you can find the missing angle.
3) Is 30° because if you use what's below the horizontal line and do the same thing as number 4 (add the existing angles together and subtract the total from 180) you can find the missing angle.
4) Is 20° because if you add the existing angles together (40° + 90° + 30°), you'll get 160°, and since the diagonal line that's separating everything from 40° to 30° looks as though it equals 180°, you'd subtract 160° from 180° in order to get the missing angle.
5) Is also 90° because the angle across from it (1) looks to be around the same size.
I solved for each in the following order:
1, 5, 4, 3, 2.
I hope this helps. Also please let me know if I got something wrong or if you still need help :)