Apply to Row 2 : Row 2 + Row 1
2x + 2y + 3z = 0
y + 4z = -3
2x + 3y + 3z = 5
Apply to Row 3: Row 3 - Row 1
2x + 2y + 3z = 0
y + 4z = -3
y = 5
Apply to Row 3: Row 3 - Row 2
2x + 2y + 3z = 0
y + 4z = -3
-4z = 8
Simplify rows
2x + 2y + 3z = 0
y + 4z = -3
z = -2
<em>Note that the matrix is in echelon form now. The next steps are for back substitution.</em>
Apply to Row 2: Row 2 - 4 Row 3
2x + 2y + 3z = 0
y = 5
z = -2
Apply to Row 1: Row 1 - 3 Row 3
2x + 2y = 6
y = 5
z = -2
Apply to Row 1: Row 1 - 2 Row 2
2x = -4
y = 5
z = 2
Simplify the rows
<u>x = -2</u>
<u>y = 5</u>
<u>z = -2</u>
Answer:
If this is solving for a hypotenuse, the answer is 8.
Step-by-step explanation:
a^2 + b^2 = c^2
6^2 b^2 = 10^2
36 + b^2 = 100
100 - 36 = 64
The square root of 64 is 8.
Here's an example number:
123.456
The place values are, from greatest to least:
The 1 is in the <em /><em>hundreds</em> place
The 2 is in the <em /><em>tens</em> place
The 3 is in the <em>ones</em> place
The 4 is in the <em>tenths</em> place
The 5 is in the <em>hundredths </em>place
If you have some number like 9.40 with no decimal point, shifting it will change the value. Moving the decimal one place to the right multiplies the value by ten. (94)
Moving it one place to the rigt divides it by ten. (0.94)
Here's our list from least to greatest:
94.0
9.40
0.94
0.094
Answer: 
Step-by-step explanation:
Given
Length of rectangle is 
Perimeter must be greater than 40 ft
Suppose l and w be the length and width of the rectangle
So, the smallest width can be
Answer:
3:4
Step-by-step explanation:
This is basically asking you to simplify the values and find the lowest ratio that compares their sizes. Starting with 27:36, you simplify. You could divide by 3, but 9 also works. Dividing both by 9 gives you 3:4, which is the most simplified answer.
