Answer:
(A)(12, 9)
Step-by-step explanation:
Given:
The beginning of the left edge of the stencil falls at (2, −1).
A point, say Q on the stencil is at (4, 1).
Point Q divides the stencil into the ratio 1:4.
We are required to find the end of the stencil.
Mathematically, Point Q divides the stencil internally in the ratio 1:4.
For internal division of a line with beginning point 
and end point 
in the ratio m:n, we use the formula
, 
, Q(x,y)=(4,1), m:n=1:4
Therefore:
The correct option is A.
Answer:
m∠QPM=43°
Step-by-step explanation:
see the attached figure to better understand the problem
we know that
m∠NPQ=m∠MPN+m∠MPQ
we have
m∠NPQ=(9x-25)°
m∠MPN=(4x+12)°
m∠MPQ=(3x-5)°
substitute the given values and solve for x
(9x-25)°=(4x+12)°+(3x-5)°
(9x-25)°=(7x+7)°
9x-7x=25+7
2x=32
x=16
Find the measure of angle QPM
Remember that
m∠QPM=m∠MPQ
m∠MPQ=(3x-5)°
substitute the value of x
m∠MPQ=(3(16)-5)=43°
therefore
m∠QPM=43°
Answer:
Step-by-step explanation:
The amount that Alexa owes after t weeks is given by a linear equation in the following format:
In which L(0) is the initial amount borrowed and b is how much is paid per week.
Alexa agreed to pay back her friend $10 per week and originally borrowed $170.
This means that, respectivelly, 
. So
We have been given two polynomials 
Let us first multiply these polynomials.
Now, we know that polynomials follows closure property of multiplication.
It means that when we multiply two polynomials, the result will be a polynomial.
Since, when we multiplied the given polynomials, we got 
which is a polynomial.
Therefore, the correct option is
The result is a polynomial.
It will have the same value. The slope of the mid-segment of DE is just equal to the slope of the segment of AC. This is because of the mid-segment theorem stating that both slopes of a triangle have same value. So the answer is -0.4 for both segments.
