Answer:
![6x + 5 + 4x = 45](https://tex.z-dn.net/?f=6x%20%2B%205%20%2B%204x%20%3D%2045)
![10x = 40](https://tex.z-dn.net/?f=10x%20%3D%2040)
Step-by-step explanation:
Given
![OP = 6x + 5](https://tex.z-dn.net/?f=OP%20%3D%206x%20%2B%205)
![PQ = 4x](https://tex.z-dn.net/?f=PQ%20%3D%204x)
![OQ = 45](https://tex.z-dn.net/?f=OQ%20%3D%2045)
The given parameters show that P is a point between O and Q.
So:
![OQ = OP + PQ](https://tex.z-dn.net/?f=OQ%20%3D%20OP%20%2B%20PQ)
Substitute values for OP, PQ and OQ
![45 = 6x + 5 + 4x](https://tex.z-dn.net/?f=45%20%3D%206x%20%2B%205%20%2B%204x)
--- This is an equation
Collect Like Terms
![6x + 4x = 45 - 5](https://tex.z-dn.net/?f=6x%20%2B%204x%20%3D%2045%20-%205)
------ This is another
Make x the subject
![x = \frac{40}{10}](https://tex.z-dn.net/?f=x%20%3D%20%5Cfrac%7B40%7D%7B10%7D)
![x = 4](https://tex.z-dn.net/?f=x%20%3D%204)
Please attach the picture first.
The number is 454.
This is because since the ones digit is 4 and the hundreds digit is the same as the ones digit, the hundreds digit is 400.
400 + 50 + 4 = 454
It would be 9.7 because .025 rounds to 0 and 0 + 9.7 is 9.7.
General line, perpendicular to 6x+5y=-3: y=5/6x+b
Steps:
1: Compute the slope of 6x+5y=-3: m= -6/5
2: Compute the slope of the perpendicular line: mp= 5/6
3: Line with slope m= 5/6: y= 5/6x+b
Description:
To find the slope perpendicular first you need to compute the slope of the equation. Then compute the slope of the perpendicular line. Then you will get the half answer: Line with slope m. You will now get your full answer. That is y=5/6x+b.
Answer: y=5/6x+b
Please mark brainliest
<em><u>Hope this helps.</u></em>