Given the expression -x^2-6x+7,when expressed in form a(x+h)^2+k, the value of k is?​

k = 16

Step-by-step explanation:

The equation is written in the form:

y = ax^2 + bx + c

y = -x^2 - 6x + 7

y = a(x - h)^2 + k where (h, k) is the vertex

a = -1 (from the original equation)

h = -b/2a (this is the equation for the line of symmetry or the x-value of the vertex)

h = -(-6)/2(-1) = 6/-2 = -3

when x = -3, y = ?

y = -(-3)^2 - 6(-3) + 7

y = -(9) + 18 + 7

y = -9 + 18 + 7

y = 16

(-3, 16) is the vertex

Since k is the y-value of the vertex, k = 16

I'll just take it a step further and write the whole equation:

Substitute all the values we found

-1(x +3)^2 + 16

-(x + 3)^2 + 16

he used the algebra tiles correctly.

step-by-step explanation:

given : 3x(2x-1)

solution :

since he used algebra tiles .

armando's solution is the same in the solution shown in figure

as he distributed 2x into x and x and wrote them vertically

and also write   -1 vertically

and 3x into x and x and x and wrote it horizontally

performing the multiplication in the algebra tiles we get

and solving the given expression :

3x(2x-1)

since solving the expression using tiles   and solving the expression algebraically we get the same answer

thus   we can choose the first statement as the answer to this problem which is "he used the algebra tiles correctly".

i dont know

step-by-step explanation: