Hi there! To solve this question, we can write and solve a proportion. Let’s set it up like this: 13,600/x = 19.3/100. We do this, because we’re looking for the total amount of people, which would be the whole. We already have the part. Cross multiply the values in order to get 1,360,000 = 19.3x. Now, divide each side by 19.3 to isolate the variable. When you do, you get x is approx. 70,466.3212 or 70,466 when rounded to the nearest whole number. Plus, you can’t have a fraction of a person, anyway. The company has a total of 70,466 employees.
Answer:
![9c^3 - 12c^2 - 18c - 24= [3c^2 - 6][3c - 4]](https://tex.z-dn.net/?f=9c%5E3%20-%2012c%5E2%20-%2018c%20-%2024%3D%20%5B3c%5E2%20-%206%5D%5B3c%20-%204%5D)
Step-by-step explanation:
Given
![9c^3 - 12c^2 - 18c - 24](https://tex.z-dn.net/?f=9c%5E3%20-%2012c%5E2%20-%2018c%20-%2024)
Required
Factor
Group into 2
![[9c^3 - 12c^2] - [18c + 24]](https://tex.z-dn.net/?f=%5B9c%5E3%20-%2012c%5E2%5D%20-%20%5B18c%20%2B%2024%5D)
Factorize each group
![3c^2[3c - 4] - 6[3c - 4]](https://tex.z-dn.net/?f=3c%5E2%5B3c%20-%204%5D%20-%206%5B3c%20-%204%5D)
Factor out 3c - 4
![[3c^2 - 6][3c - 4]](https://tex.z-dn.net/?f=%5B3c%5E2%20-%206%5D%5B3c%20-%204%5D)
Hence:
![9c^3 - 12c^2 - 18c - 24= [3c^2 - 6][3c - 4]](https://tex.z-dn.net/?f=9c%5E3%20-%2012c%5E2%20-%2018c%20-%2024%3D%20%5B3c%5E2%20-%206%5D%5B3c%20-%204%5D)
Answer:
A) x = 20
Step-by-step explanation:
ABCD is a rhombus, AC and BD are diagonals which intersect each other at point E.
Since, diagonals of a rhombus are perpendicular bisector.
![\therefore \: m \angle AED = 90 \degree \\ \therefore \: (5x - 10) \degree = 90 \degree \\ \therefore \: 5x - 10 = 90 \\ \therefore \: 5x = 90 + 10 \\ \therefore \: 5x = 100 \\ \\ \therefore \: x = \frac{100}{5} \\ \\ \huge \red{ \boxed{ \therefore \: x =20}}](https://tex.z-dn.net/?f=%20%5Ctherefore%20%5C%3A%20m%20%5Cangle%20AED%20%3D%2090%20%5Cdegree%20%5C%5C%20%20%5Ctherefore%20%5C%3A%20%285x%20-%2010%29%20%5Cdegree%20%3D%2090%20%5Cdegree%20%5C%5C%20%5Ctherefore%20%5C%3A%205x%20-%2010%20%3D%2090%20%20%5C%5C%20%5Ctherefore%20%5C%3A%205x%20%20%3D%2090%20%2B%2010%20%20%5C%5C%20%5Ctherefore%20%5C%3A%205x%20%20%3D%20100%20%20%5C%5C%20%5C%5C%20%20%5Ctherefore%20%5C%3A%20x%20%20%3D%20%5Cfrac%7B100%7D%7B5%7D%20%20%5C%5C%20%20%5C%5C%20%5Chuge%20%5Cred%7B%20%5Cboxed%7B%20%5Ctherefore%20%5C%3A%20x%20%20%3D20%7D%7D)
Find and review the slope formula.
The slope of a line segment that connects the points (a, b) and (c, d) is
d-b
m = --------------
c-a
Write out this formula for a=-3, b=-4, c=6 and d=-1.