Answer:
3/9
Step-by-step explanation:
15/45
divide both sides by a factor of each number; I'll be using 5.
3/9
It didn't have to be 5, I could have used 3, but in that case It wouldn't have been it's simplest form and I would have to divide again by another factor.
Answer:
8/36= 2/9
Step-by-step explanation:
Answer:
D 4.5
..........................................
Answer:
(x, y, z) = (4, -3, 2)
Step-by-step explanation:
I. -2x + y + 6z = 1
II. 3x + 2y + 5z = 16
III. 7x + 3y - 4z = 11
use I and II. cancel out a variable
-2(-2x + y + 6z = 1)
3x + 2y + 5z = 16
+ (4x - 2y - 12z = -2)
------------------------
IV. 7x - 7z = 14
use I and III. cancel out the same variable (y)
-3(-2x + y + 6z = 1)
7x + 3y - 4z = 11
+ (6x - 3y - 18z = -3)
------------------------
V. 13x - 22z = 8
use IV and V. cancel out a variable
13(7x - 7z = 14)
-7(13x - 22z = 8)
91x - 91z = 182
+(-91x + 154z = -56)
-------------------------
63z = 126
divide by 63
z = 2
plug z into IV
7x - 7z = 14
7x - 7(2) = 14
7x - 14 = 14
7x = 28
x = 4
plug x and z into I
-2x + y + 6z = 1
-2(4) + y + 6(2) = 1
-8 + y + 12 = 1
y + 4 = 1
y = -3
(x, y, z) = (4, -3, 2)
Use Pythagorean theorem
a^2 + b^2 = c^2
You know b = 7, c = 16
Plug in the values
a^2 + 7^2 = 16^2
a^2 + 49 = 256
a^2 = 207
a = 14.38749
Round to nearest tenth
Solution: a = 14.4 in.
