Please help I will give brainliest to the first person who answers both correctly

-(x - 4)^2

See below.

Step-by-step explanation:

Problem 1.

-x^2 + 8x - 16 =

First, factor -1 out of all terms. It can be written as simply a negative sign to the left of parentheses.

= -(x^2 - 8x + 16)

Now we factor the trinomial. We are told it is the square of a binomial.

x^2 is the square of x. 16 is the square of 4 and of -4. Since the middle term is negative, as in -8x, we need -4.

= -(x - 4)^2

Problem 2.

0.48xy + 36y^2 + 0.16x^2 =

First, rearrange the terms in order: x^2, xy, y^2.

= 0.16x^2 + 0.48xy + 36y^2

All terms are positive, so we only need the positive square roots.

The first term of the binomial is the square root of 0.16x^2, so it is 0.4x.

The second term of the binomial is the square root of 36y^2, so it is 6y.

= (0.4x + 6y)^2

As you pointed out, this gives 0.16x^2 + 4.8xy + 36x^2, which is not the original trinomial. The given trinomial is not the square of a binomial, and the problem is incorrect.

Factor 0.16x^2 + 0.48xy + 36y^2

0.16x^2 + 0.48xy + 36y^2 =

= 0.16(x^2 + 3xy + 225y^2)

For x^2 + 3xy + 225y^2 to factor as the square of a binomial, the middle term would have to be 2 * x * 15y = 30xy. The middle term is 1/10 of that, 3xy. This trinomial is not the square of a binomial.

to plot points   for x just start at the origin (middle) and go to the left however many times it say(if the number is a positive) if the number is a negative then go right however many times it says if it is 0 go nowhere

now keep you pencil there and go up however many times it says on y(if it is positive) if it is negative then go down however many times it says. if it says 0 go nowhere.

you have just plotted a point! now when you finish plotting all of them connect them with a ruler

plot each point as (-3, 7), (0,4), (3,1), (8,-4)   in the parenthesis on the left of the comma is x and the right is y.