Find the coordinates of the vertex of the following parabola using graphing
technology. Write your answer as an (x, y) point.
y = 3x^2-12x + 21 it’s -1
Ranking is very critical in this problem. Therefore, the most applicable mathematical theory is permutations.
Ranking possible for the cellists:
Needed cellists = 5
Total available cellists = 10
Possible number of rankings = 10P5 = 10!/(10-5)! = 30240
Ranking possible for the violinists:
Needed violinists = 5
Total available = 16
Possible number of rankings = 16P5 = 16!/(16-5)! = 524160
Therefore,
Ratio of rankings (cellists to violinists) = 30240/524160 = 3/52
Answer:
Part 1: 31x+25=180
part 2: x=5
Step-by-step explanation:
there are 180° on a straight line, which is the base/ bottom line of the traingle (indicated by the arrow on the end).
so, 180-151= 29
29° is the third angle on the traingle.
now, there are 180° in a triangle, therefore to find an equation for x:
29+20x-3+11x-1= 180 (adding up all the angles and making it equal to 180°)
now simplify this equation to get:
31x+25=180 (PART 1)
to find x simply solve the equation:
31x=180-25
31x= 155
x= 155/31
x=5 (PART 2)
a. true
b. false ( angles should equal 180 125+65=190)
c. true
d. true
e. true
A triangle is a three-edged polygon with three vertices. It is a fundamental form in geometry. The length of GF is 254 units.
<h3>What is a triangle?</h3>
A triangle is a three-edged polygon with three vertices. It is a fundamental form in geometry. The sum of all the angles of a triangle is always equal to 180°.
Since a centroid of a triangle divides the median into a ratio of 2:1. Therefore, the ratio of AG: DG is,
AG / DG = 2/1
(19x+14)/(9x+20) = 2/1
19x + 14 = 18x + 40
19x - 18x = 40 - 14
x = 26
Assuming the triangle is an equilateral triangle, therefore, the length of GF will be,
GF = DG = 9x+20
GF = DG = 9(26) + 20
GF = 254 units
Hence, the length of GF is 254 units.
Learn more about Triangle:
brainly.com/question/2773823
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