Answer:
7r³ - 3r² + 20r
Step-by-step explanation:
(9r³ + 5r² + 11r) + (-2r³ + 9r - 8r²)
You can get rid of the parentheses since there is nothing to distribute.
9r³ + 5r² + 11r - 2r³ + 9r - 8r²
Combine like factors.
7r³ - 3r² + 20r
Answer:
![2.16 \times {10}^{ - 4}](https://tex.z-dn.net/?f=2.16%20%5Ctimes%20%20%7B10%7D%5E%7B%20-%204%7D%20)
Step-by-step explanation:
The lab technician is dividing a cell that has a diameter of
![4 .32 \times {10}^{ - 4}](https://tex.z-dn.net/?f=4%20.32%20%5Ctimes%20%20%7B10%7D%5E%7B%20-%204%7D%20)
The new cells has a diameter that is half of the diameter of the original cell.
The diameter of the new cell is given as:
![\frac{4.32 \times {10}^{ - 4} }{2}](https://tex.z-dn.net/?f=%20%5Cfrac%7B4.32%20%5Ctimes%20%20%7B10%7D%5E%7B%20-%204%7D%20%7D%7B2%7D%20)
Rewrite the numerator in standard notation:
![\frac{0.000432}{2}](https://tex.z-dn.net/?f=%20%5Cfrac%7B0.000432%7D%7B2%7D%20)
![= 0.00216](https://tex.z-dn.net/?f=%20%3D%200.00216)
We rewrite in scientific notation to obtain:
![2.16 \times {10}^{ - 4}](https://tex.z-dn.net/?f=2.16%20%5Ctimes%20%20%7B10%7D%5E%7B%20-%204%7D%20)
Answer:
x = -12.5
Step-by-step explanation:
Solve : -2x - 10 =15
-2x - 10 = 15
-2x = 15 + 10
-2x = 25
x = -25/2
x = -12.5
Answer:
The next 3 steps are
Step 4: ![(x+2)=\pm \sqrt{10}](https://tex.z-dn.net/?f=%28x%2B2%29%3D%5Cpm%20%5Csqrt%7B10%7D)
Step 5:
Step 6: ![x=-2+\sqrt{10}\ or\x=-2-\sqrt{10}](https://tex.z-dn.net/?f=x%3D-2%2B%5Csqrt%7B10%7D%5C%20or%5Cx%3D-2-%5Csqrt%7B10%7D)
Step-by-step explanation:
Given:
Quadratic Equation is
x² + 4x - 6 = 0
To Find:
x = ?
Solution:
Step 1: x2 + 4x = 6
Step 2: x2 + 4x + 4 = 6 + 4
Step 3: (x + 2)2 = 10
Step 4: ![(x+2)=\pm \sqrt{10}](https://tex.z-dn.net/?f=%28x%2B2%29%3D%5Cpm%20%5Csqrt%7B10%7D)
Step 5:
Step 6: ![x=-2+\sqrt{10}\ or\x=-2-\sqrt{10}](https://tex.z-dn.net/?f=x%3D-2%2B%5Csqrt%7B10%7D%5C%20or%5Cx%3D-2-%5Csqrt%7B10%7D)