Rewrite the equation in vertex form. y = x2 - 6x + 18
2 answers:
Complete square!
Vertex form is (x-h)^2+k
meaning that the vertex is located at (h,k).
3^2=9
vertex form, h=3, k=9, vertex is located at (3,9)
Edited 2018-03-18
There was a suggestion to explain the completion of square as
x^2-6x=(x-3)^2-9.
However, this does not show where the (x-3) come from.
If this is a better explanation for any or all of you, here it is.
Vertex form is (x-h)^2+k
meaning that the vertex is located at (h,k).
vertex form, h=3, k=9, vertex is located at (3,9)
Edited 2018-03-18
There was a suggestion to explain the completion of square as
x^2-6x=(x-3)^2-9.
However, this does not show where the (x-3) come from.
If this is a better explanation for any or all of you, here it is.
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Answer:
Value of x = 400
Step-by-step explanation:
Joint variation states that describes a situation where a variable depends on two (or more) other variables, and varies directly with some of them.
Given: x varies directly with y and z.
i.e and
then we have the joint variation as;
......[1] where k is the constant variation.
Substitute the value of x =1200 when y =20 and z = 30 to solve for k;
Simplify:
Divide both sides by 600 we get;
Now, substitute k =2 , y =10 and z = 20 to find x;
Using [1] we have;
Therefore, the value of x is, 400