Solve x
2 - 4x - 7 = 0 by completing the square. What are the solutions?

{2 + , 2 - }
{-2 + , -2 - }
{2 + , 2 + }

Step-by-step explanation:

First, let's move the to the right-hand side so we can determine what constant we'll need on the left-hand side to complete the square:

From here, since the coefficient of the term is , we know the square will be (since it's half of ).

To complete this square, we will need to add to both sides of the equation:

Now we can take the square root of both sides to figure out the solutions to :

arithmetic sequence

step-by-step explanation:

given that a sequence has terms as

19, 15, 11,

this is represented on a graph

the pattern indicates that the sequence is an arithmetic sequence with i term

a=19 and common difference d =-4

any general term

thus the sequence is reduced by 4 for each successive term starting from 1 and nth term is

24-5n.

first negative term would start after 5th term

5th term =24-25< 0

from 5th term onwards the sequence would be negative.

the answer for this question is : 360°

step-by-step explanation:

we have been given a triangle   we need to tell which one of these is a triangle below to map onto itself.

360° rotation is the complete rotation which eventually leads to the same figure which is given.

the correct will be, that is 360° that will cause the triangle below to map onto itself.