Step-by-step explanation:
1 pound = 453.592 grams for approximate result we can use 454 so
We have to find 22 pounds into grams
= 454 x 22 = 9988 grams
Answer: 81
To get this answer, you do two things
1) Take half of the x coefficient 18 to get 9
2) Square the result from the previous step to get 9^2 = 9*9 = 81
This value is added on to get x^2+18x+81 which factors to (x+9)^2 confirming we have a perfect square trinomial
Answer:
x² - 20 = 0
Using the quadratic formula
![x = \frac{ - b± \sqrt{( {b})^{2} - 4ac } }{2a}](https://tex.z-dn.net/?f=x%20%3D%20%20%5Cfrac%7B%20-%20b%C2%B1%20%5Csqrt%7B%28%20%7Bb%7D%29%5E%7B2%7D%20-%204ac%20%7D%20%7D%7B2a%7D%20)
a = 1 b = 0 c = -20
So we have
![x = \frac{ - 0 ± \sqrt{ {0}^{2} - 4(1)( -20)} }{2(1)} \\ \\ x = \frac{± \sqrt{80} }{2} \\ \\ x = \frac{±4 \sqrt{5} }{2} \\ \\ \\ x = ±2 \sqrt{5} \\ \\ \\ x = 2 \sqrt{5} \: \: \: or \: \: \: x = - 2 \sqrt{5}](https://tex.z-dn.net/?f=x%20%3D%20%20%5Cfrac%7B%20-%200%20%C2%B1%20%20%5Csqrt%7B%20%7B0%7D%5E%7B2%7D%20%20-%204%281%29%28%20-20%29%7D%20%7D%7B2%281%29%7D%20%20%5C%5C%20%20%5C%5C%20x%20%3D%20%20%5Cfrac%7B%C2%B1%20%5Csqrt%7B80%7D%20%7D%7B2%7D%20%20%5C%5C%20%20%5C%5C%20x%20%3D%20%20%5Cfrac%7B%C2%B14%20%5Csqrt%7B5%7D%20%7D%7B2%7D%20%20%5C%5C%20%20%5C%5C%20%20%5C%5C%20x%20%3D%20%C2%B12%20%5Csqrt%7B5%7D%20%20%5C%5C%20%20%5C%5C%20%20%5C%5C%20x%20%3D%202%20%5Csqrt%7B5%7D%20%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20or%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20x%20%3D%20%20-%202%20%5Csqrt%7B5%7D%20)
Hope this helps you.
When 2 lines are coinciding, this means its the same line.
One equation is simply a multiple of the other.
8x = 4x*2
This means the multiplier is 2
5y*2 = 10y
8*2 = 16
The missing values are 10y and 16
Answer:![\frac{15}{13}](https://tex.z-dn.net/?f=%5Cfrac%7B15%7D%7B13%7D)
Step-by-step explanation:
Given
There are 28 students in a class out of which
13 are boys so the remaining 15 are girls
Ratio of girls to boys in the class![=\frac{15}{13}](https://tex.z-dn.net/?f=%3D%5Cfrac%7B15%7D%7B13%7D)