Answer:
Step-by-step explanation:
∣∣2. 8−(−9. 4)∣∣
∣∣2. 8+(−9. 4)∣∣
Answer:
0,4 1,2 2,1 3.5 4.25
Step-by-step explanation:
because i know
Answer:
![\boxed{x = 7, y = 9, z = 68}](https://tex.z-dn.net/?f=%5Cboxed%7Bx%20%3D%207%2C%20y%20%3D%209%2C%20z%20%3D%2068%7D)
Step-by-step explanation:
We must develop three equations in three unknowns.
I will use these three:
![\begin{array}{lrcll}(1) & 8x + 13y +7 & = & 180 & \\(2)& 9x - 7 + 13y +7 & = & 180 & \\(3)& 8x + 5y - 11 + z & = & 180 &\text{We can rearrange these to get:}\\(4)& 8x + 13y & = & 173 &\\(5) & 9x + 13y & = & 180 & \\(6)& 8x + 5y + z & = & 169 & \\(7)& x & = & \mathbf{7} & \text{Subtracted (4) from (5)} \\\end{array}](https://tex.z-dn.net/?f=%5Cbegin%7Barray%7D%7Blrcll%7D%281%29%20%26%208x%20%2B%2013y%20%2B7%20%26%20%3D%20%26%20180%20%26%20%5C%5C%282%29%26%209x%20-%207%20%2B%2013y%20%2B7%20%26%20%3D%20%26%20180%20%26%20%5C%5C%283%29%26%208x%20%2B%205y%20-%2011%20%2B%20z%20%26%20%3D%20%26%20180%20%26%5Ctext%7BWe%20can%20rearrange%20these%20to%20get%3A%7D%5C%5C%284%29%26%208x%20%2B%2013y%20%26%20%3D%20%26%20173%20%26%5C%5C%285%29%20%26%209x%20%2B%2013y%20%26%20%3D%20%26%20180%20%26%20%5C%5C%286%29%26%208x%20%2B%205y%20%2B%20z%20%26%20%3D%20%26%20169%20%26%20%5C%5C%287%29%26%20x%20%26%20%3D%20%26%20%5Cmathbf%7B7%7D%20%26%20%5Ctext%7BSubtracted%20%284%29%20from%20%285%29%7D%20%5C%5C%5Cend%7Barray%7D)
![\begin{array}{lrcll}& 8(7) + 13y & = & 173 & \text{Substituted (7) into (4)} \\& 56 + 13y & = & 173 & \text{Simplified} \\& 13y & = & 117 & \text{Subtracted 56 from each side} \\(8)& y & =& \mathbf{9}&\text{Divided each side by 13}\\& 8(7) + 5(9) + z & = & 169 & \text{Substituted (8) and (7) into (6)} \\& 56 + 45 + z& = & 169 & \text{Simplified} \\& 101 + z& = & 169 & \text{Simplified} \\&z& = & \mathbf{68} & \text{Subtracted 101 from each side}\\\end{array}](https://tex.z-dn.net/?f=%5Cbegin%7Barray%7D%7Blrcll%7D%26%208%287%29%20%2B%2013y%20%26%20%3D%20%26%20173%20%26%20%5Ctext%7BSubstituted%20%287%29%20into%20%284%29%7D%20%5C%5C%26%2056%20%2B%2013y%20%26%20%3D%20%26%20173%20%26%20%5Ctext%7BSimplified%7D%20%5C%5C%26%2013y%20%26%20%3D%20%26%20117%20%26%20%5Ctext%7BSubtracted%2056%20from%20each%20side%7D%20%5C%5C%288%29%26%20y%20%26%20%3D%26%20%5Cmathbf%7B9%7D%26%5Ctext%7BDivided%20each%20side%20by%2013%7D%5C%5C%26%208%287%29%20%2B%205%289%29%20%2B%20z%20%26%20%3D%20%26%20169%20%26%20%5Ctext%7BSubstituted%20%288%29%20and%20%287%29%20into%20%286%29%7D%20%5C%5C%26%2056%20%2B%2045%20%2B%20z%26%20%3D%20%26%20169%20%26%20%5Ctext%7BSimplified%7D%20%5C%5C%26%20101%20%2B%20z%26%20%3D%20%26%20169%20%26%20%5Ctext%7BSimplified%7D%20%5C%5C%26z%26%20%3D%20%26%20%5Cmathbf%7B68%7D%20%26%20%5Ctext%7BSubtracted%20101%20from%20each%20side%7D%5C%5C%5Cend%7Barray%7D)
![\boxed{\mathbf{ x = 7, y = 9, z = 68}}](https://tex.z-dn.net/?f=%5Cboxed%7B%5Cmathbf%7B%20x%20%3D%207%2C%20y%20%3D%209%2C%20z%20%3D%2068%7D%7D)
Answer:
read.....
Step-by-step explanation:
Answer:
The value of k is 4 and q is 16.
Step-by-step explanation:
First, you have to expand the brackets by applying :
![{(a + b)}^{2} = {a}^{2} + 2ab + {b}^{2}](https://tex.z-dn.net/?f=%20%7B%28a%20%2B%20b%29%7D%5E%7B2%7D%20%20%3D%20%20%7Ba%7D%5E%7B2%7D%20%20%2B%202ab%20%2B%20%20%7Bb%7D%5E%7B2%7D%20)
![{x}^{2} + 8x + q = {(x + k)}^{2}](https://tex.z-dn.net/?f=%20%7Bx%7D%5E%7B2%7D%20%20%2B%208x%20%2B%20q%20%3D%20%20%7B%28x%20%2B%20k%29%7D%5E%7B2%7D%20)
![{x}^{2} + 8x + q = {x}^{2} + 2kx + {k}^{2}](https://tex.z-dn.net/?f=%20%7Bx%7D%5E%7B2%7D%20%20%2B%208x%20%2B%20q%20%3D%20%20%7Bx%7D%5E%7B2%7D%20%20%2B%202kx%20%2B%20%20%7Bk%7D%5E%7B2%7D%20)
Next, you have to do it by comparison :
![{x}^{2} + 8x + q = {x}^{2} + 2kx + {k}^{2}](https://tex.z-dn.net/?f=%20%7Bx%7D%5E%7B2%7D%20%20%2B%208x%20%2B%20q%20%3D%20%20%7Bx%7D%5E%7B2%7D%20%20%2B%202kx%20%2B%20%20%7Bk%7D%5E%7B2%7D%20)
![by \: comparison](https://tex.z-dn.net/?f=by%20%5C%3A%20comparison)
![8x = 2kx](https://tex.z-dn.net/?f=8x%20%3D%202kx)
![8 = 2k](https://tex.z-dn.net/?f=8%20%3D%202k)
![k = 4](https://tex.z-dn.net/?f=k%20%3D%204)
![q = {k}^{2}](https://tex.z-dn.net/?f=q%20%3D%20%20%7Bk%7D%5E%7B2%7D%20)
![q = {4}^{2}](https://tex.z-dn.net/?f=q%20%3D%20%20%7B4%7D%5E%7B2%7D%20)
![q = 16](https://tex.z-dn.net/?f=q%20%3D%2016)