56. An equation Is shown. x? + 8x + 19 = 0
Part A: What is an equivalent equation that results from completing the square?

(x + 4)^2 + 3 = 0

Step-by-step explanation:

When you multiply out (a + b)^2, you get a^2 + 2ab + b^2. We already know the a^2 term, which is x^2. We can deduct the first term of the square is x because x * x is x^2, and x would correspond with a. Next, we can connect the 2ab term with 8x, as it includes the variable x.

2ab = 8x

We have established a = x, so:

2xb = 8x

b = 4

We can put this together to get the square:

(x^2 + 8x + 16) + 3 = 0

(the three is added to get a last term of 19 in the given equation)

When we factor the square, it turns out as:

(x + 4)^2 + 3 = 0

Note: Sorry if the answer was a bit confusing, this is kinda hard to explain.

r(0,90)(x,y) . t(-5,0)

last option

step-by-step explanation:

∆def to ∆d"e"f"

- rotate 90 counterclockwise degrees

- then translated 5 to the left (x --> x - 5)

answer is the last option

it is a. 4.2 because 7.6-3.4 gets the remaining length of 4.2. i might be wrong but i am pretty sure this is the answer.