Which of the following is the result of the equation below after completing
the square and factoring?

The answer to your question is the letter C. (x + 5/2)² = 9/4

Step-by-step explanation:

Data

                x² + 5x + 8 = 4

- Subtract 8 in both sides

                x² + 5x + 8 - 8 = 4 - 8

- Simplify

                x² + 5x +         = -4

- Divide 5 by 2

                5/2

- Write (5/2)² in both sides

                x²+ 5x + (5/2)² = -4 + (5/2)²

- Simplify

                x² + 5x + 25/4 = -4 + 25/4

                (x + 5/2)² = -16/4 + 25/4

- Result

                (x + 5/2)² = 9/4

c.   x=2.4cm

step-by-step explanation:

similar triangles are triangles which have the same shape but not the same size. this means their angle measures are equal but their side lengths are not instead they are proportional. to solve, we will set up a proportion and solve.

a proportion is two equal ratios set equal to each other. we form the ratios by finding corresponding sides (sides which match to each other on both triangles by their position). out ratios will be one side of the small triangle over the corresponding side on the big triangle as shown below:

.

to solve the proportion, we'll cross multiply by multiplying numerator with denominator across the equal sign.

(1, –1), (16, –4), (36, –6)

step-by-step explanation:

given that the function is

this can also be written as

we have to graph this function and check which list of points lie on the graph

see attachment for graph:

we find that the points lying are (1,-1) (16,-4) and (36,-6)

since square root is there we find that x can only be posiitve but y can be since square root both positive and negative.