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3 years ago

Four students were asked to write an expression which has terms that have a greatest common factor of 8c. The expressions

Mathematics

2 answers:

Olin [163]3 years ago

6 0

Answer:

<h2>Wyatt</h2>

Step-by-step explanation:

Greatest common factor is a largest possible number or function that divides all values of a function without a remainder. According to the students, only Wyatt wrote the correct expression that has 8c as its greatest common factor.

According to Wyatt expression;

8c-48cd

It can be seen that 8c is the greatest function that can go in both monomials (8c and 48cd). On factoring out 8c we have;

$8c-48cd = 8c(1-6d)$

since no other values can go in the values in parenthesis (1-6d), this shows that 8c is the greatest common factor of the function hence only Wyatt wrote the correct expression compare to other students.

According to Xavier and Yang equation, c is cannot be factored from the equation thereby making both the wrong expression.

For Tanya function 32c+16cd, its greatest common factor is 16c not 8d making the equation wrong as well.

Afina-wow [57]3 years ago

6 0

Answer:

Wyatt

Step-by-step explanation:

it's on edge

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FromTheMoon [43]

The statements which are correct about the equation of circle $x^{2} +y^{2}-2x-8=0$ are 1) The radius of the circle is 3 units,2) The center of the circle lies on the x axis,5) The radius of this circle is the same the radius of the circle whose equation is $x^{2} +y^{2} =9$ .

Given the equation of circle be $x^{2} +y^{2}-2x-8=0$ .

We are required to find the appropriate statements related to the equation $x^{2} +y^{2}-2x-8=0$ .

$x^{2} +y^{2}-2x-8=0$ can be written as under:

$x^{2} +y^{2} -2x+1-9=0$

$x^{2} +1^{2}-2x+y^{2} -9=0$

$(x-1)^{2}+y^{2}$ -9=0

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$(x-1)^{2}+y^{2} =3^{2}$

Equation of a circle usually in the form $x^{2} +y^{2} =a^{2}$ in which a is radius.

From the comparison of both the equations we get that radius is 3 units.

From the equation point will be (1,0). It is on the x axis.

Hence the statements which are correct about the equation of circle $x^{2} +y^{2}-2x-8=0$ are 1) The radius of the circle is 3 units,2) The center of the circle lies on the x axis,5) The radius of this circle is the same the radius of the circle whose equation is $x^{2} +y^{2} =9$ .

Learn more about radius at brainly.com/question/24375372

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