Answer:
The unit vectors are:
Step-by-step explanation:
Unit vectors that are a parallel to the tangent line have the same slope than the tangent line, thus we can find the slope of the tangent line, find directional vectors and then their corresponding unit vectors.
Finding the slope of the tangent line.
We can find the first derivative of the curve, which represents the slope of the tangent line of the curve at that point.
At x = 2 we have
Thus we have slope m = 4, then the parallel unit vector has slope m = 4/1
Finding unit vectors.
From the slope m = 4/1, we can write it as a direction vector with x =1 and y = 4. Notice also that x = -1 and y = -4 would have given as as well slope m = 4 too.
Then in order to find the unit vector on that direction we can use the formula
So finding the magnitude we get
Then one unit vector that is parallel to the tangent line is
And the second unit vector is
The negative sign on both x and y components just tell us that we are aiming on the opposite direction as the first unit vector, yet both have the same value of the slope.
(36 payments)*($429.95)*30% = $4,643.46 . . . . interest paid over 3 years
Answer:
Number of students who correctly describe the process = 112 students.
Step-by-step explanation:
<em>From the information provided in the question;</em>
<em>64% correctly described the process of photosynthesis.</em>
<em>63 students didn't describe correctly the process of photosynthesis.</em>
We are to find the number of students that did correctly describe the process of photosynthesis.
First of all we need to find the total number of students.Lets represent this value to be x
percentage of students who incorrectly describe the process = (100-64)%
=36%
x= 63*100/36
x=175 students.
FIRST METHOD
Number of students who correctly describe the process = 
= 
Number of students that correctly describe the process = 112 students.
SECOND METHOD
Number of students who correctly describe the process = Total number of students- number of students who didn't correctly describe the process
Number of students who correctly describe the process = 175-63
Number of students who correctly describe the process = 112 students.
<span>In the question "This figure shows the procedure for constructing a" The correct answer is "bisector of an angle" (option C).
To construct an angle bisector: Draw an arc that is centered at the vertex of the angle to intersect both sides of the angle. From the point of intersection of the previous arc and the both sides of the angle, draw two more arcs to intersect at a point. The radius for the two arcs must be equal. Then draw a straight line from the point of intersection of the later set of arcs and the vertex of the angle.</span>
