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Liula [17]
3 years ago
8

What is a common factor of 72 and 108​

Mathematics
2 answers:
Alborosie3 years ago
7 0

Answer:

the greatest common factor (GCF)for 72 and 108 ,notation CGF(72,108),is 36.

Step-by-step explanation:

the factor of 72 are 1,2,3,4,6,8,9,12,18,24,36,72;the factors of 108 are 1,2,3,4,6,8,9,12,18,27,36,54,108.

Tomtit [17]3 years ago
3 0

Answer:

the step by step explanation gives you your answer

Step-by-step explanation:

The first step to find the gcf of 72 and 108 is to list the factors of each number. The factors of 72 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36 and 72. The factors of 108 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54 and 108.

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Sunny_sXe [5.5K]

Answer:

Part 1) "a" value is 2

Part 2) The vertex is the point (1,8)

Part 3) The equation of the axis of symmetry is x=1

Part 4) The vertex is a minimum

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Step-by-step explanation:

we know that

The equation of a vertical parabola into vertex form is equal to

y=a(x-h)^{2}+k

where

(h,k) is the vertex of the parabola

if a > 0 then the parabola open upward (vertex is a minimum)

if a < 0 then the parabola open downward (vertex is a maximum)

The equation of the axis of symmetry of a vertical parabola is equal to the x-coordinate of the vertex

so

x=h

In this problem we have

y=2(x-1)^{2}+8 -----> this is the equation in vertex form of a vertical parabola

The value of a=2

so

a>0 then the parabola open upward (vertex is a minimum)

The vertex is the point (1,8)

so

(h,k)=(1,8)

The equation of the axis of symmetry is x=1

The equation of a vertical parabola in standard form is equal to

y=ax^{2}+bx+c

Convert vertex form in standard form

y=2(x-1)^{2}+8

y=2(x^{2}-2x+1)+8

y=2x^{2}-4x+2+8

y=2x^{2}-4x+10

see the attached figure to better understand the problem

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Step-by-step explanation:

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