Answer:
y<6
Step-by-step explanation:
1
/3
y + 1/4 > 3
/8y
1
/3
y + 1/4 − 3/
8
y >
3/
8
y − 3/
8
y
− 1
/24
y + 1
4 > 0
−1
/24
y + 1
/4 − 1/
4 > 0 − 1
/4
−1
/24
y > −1/
4
Multiply both sides by 24/(-1).
y<6
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Answer:
Step-by-step explanation:
given a point 
the equation of a line with slope m that passes through the given point is
or equivalently
.
Recall that a line of the form 
, the y intercept is b and the x intercept is 
.
So, in our case, the y intercept is 
and the x intercept is 
.
In our case, we know that the line is tangent to the graph of 1/x. So consider a point over the graph 
. Which means that 
The slope of the tangent line is given by the derivative of the function evaluated at 
. Using the properties of derivatives, we get
. So evaluated at we get 
Replacing the values in our previous findings we get that the y intercept is
The x intercept is
The triangle in consideration has height 
and base 
. So the area is
So regardless of the point we take on the graph, the area of the triangle is always 2.
B. same side interior angles are supplementary when two parallel lines are crossed by a transversal (PV and QM are two parallel lines crossed by TL)
c. definition of supplementary angles the definition of supplementary means that they add up to 180 degrees and you concluded in b that <1 and <2 are supplementary
e. definition of congruent angles two angles that are congruent have the same measure
g. definition of supplementary angles two angles that add up to 180 are supplementary
h. if the same side interior angles are supplementary when two lines are intersected by a transversal then the lines are parallel ( TL and VM are intersected by QM and <2 and <3 are supplementary)
Answer:
66
Step-by-step explanation:
