Which part of the proof does the fourth statement and reason represent?
1 answer:
Answer:
Option B is correct.
Reason:It is an argument
Step-by-step explanation:
Given: and
By transitive property: a = b and b = c then, a =c
⇒
AB = EF [def of segment]
By Segment Addition Postulate states that given two points A and C, and a third point B lies on the line segment AC if and only if the distances between the points satisfy the equation
AB + BC = AC.
Since, the line segment EG , F lies on the line segment;
then, by segment addition postulates we have;
EG = EF + FG
By substitution AB=EF
⇒ EG = AB + FG hence proved!
Since, in the fourth statement reason is: It is an argument
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The exact steps are shown in the attached picture.
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The exact steps are shown in the attached picture.
Note that when dividing two fractions, we convert the division into multiplication and flip the second term.
Let's assume
height of plane in feet =h
time in minutes =t
we are given
A plane is descending into the airport. After 5 minutes it is at a height of 6500 feet
so, we get one point as (5,6500)
After 7 minutes it is at a height of 5900 feet
so, we get another point as (7,5900)
we can use point slope form of line
points as
(5,6500)
x1=5, y1=6500
(7,5900)
x2=7 , y2=5900
Calculation of slope(m):
now, we can plug values
Equation of line:
we can use formula
we can plug values
Time of landing:
we can set h=0
and then we can solve for t
..............Answer
Answer:
h=6
Step-by-step explanation:
since is an equation for a line which intersects with the curve
. The point of intersection, let's say
, should satisfy the two equations. As a result, the value of y in the second equation can be replaced with the value of y in the first equation as the following,
therefore, the latter equation can be rewritten in a quadratic equation form as the following,
= 0
if the line is tangent to the curve, it means that the line touches the curve at one point, therefore the discernment of the second order equation will be equal to zero for the famous quadratic equation solution.
where and
, as a result, the following equations can be deduced,
therefore, dividing both sides by 12