Answer:
3m² + 2mn + 7n²
Step-by-step explanation:
Subtract m² + 3mn - n² from 4m² + 5mn + 6n², that is
4m² + 5mn + 6n² - (m² + 3mn - n²)
= 4m² + 5mn + 6n² - m² - 3mn + n² ← collect like terms
= 3m² + 2mn + 7n²
the equation of line passing through given point parallel to y = -2x+7 is: 
Step-by-step explanation:
Given equation of line is:

As the given line is in slope intercept form, the coefficient of x is the slope
Let m1 be the slope of given line

Let m2 be the slope of second line then

The equation of line is given by:

Putting the value of slope

Putting the point (4,1) in the equation

Putting the value of b in the equation

Hence,
the equation of line passing through given point parallel to y = -2x+7 is: 
Keywords: Slope, intercepts
Learn more about slope at:
#LearnwithBrainly
In order to determine the number of pens present in the container, we need to set up equations from the given in the problem statement. We do as follows:
let x the number of pencils
y the number of pens
From the statement, 9 more pencils then pens in a container,
x = y + 9
From the statement, there are 25 writing utensils in the container in all,
x + y = 25
We use substitution method to calculate for x and y,
y + 9 + y = 25
2y = 16
y = 8
x = 17
Therefore, there are 8 pens in the container and 17 pencils.
Answer:
i
( the comma means there is space between the sqrt of 2 and the i.
<em>Hope this helped and plz mark as brainliest!</em>
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<em>Luna G.</em>