Answer:
The sum of three consecutive integers for 198 are <em>65, 66, and 67</em>
Definition of "INTEGERS"
1. a whole number; a number that is not a fraction.
2. a thing complete in itself.
Step-by-step explanation:
198 = x + x + 1 + <em>x + 2</em>
combine like numbers
198 = 3x + 3
subtract 3 from like numbers (in this case)
198 - 3 = 3x + 3 - 3
195 = 3x
divide by 3
195/3 = 3x/3
65 = x
x + 1 = 65 + 1 ---66
x + 2 = 65 +2 --67
Answer:
option B
Step-by-step explanation:
Answer:
The solution is
.
Step-by-step explanation:
Given:
The inequality given is:

In order to simplify for 'x', we first isolate 'x' on one side.
Adding -4 on both sides, we get:

Now,
is an absolute value function which is defined as:

Therefore, the given inequality can be rewritten as:
and 
Therefore, the solution is
.
Answer:
x + 5x
Step-by-step explanation:
X is the variable in this case, or 'a number.' This number x is added to the product of 5 and the number, or 5x. Therefore the expression is x+5x. It can also be simplified to 6x.
Answer:
The standard form of the equation of the circle is
.
Step-by-step explanation:
A circle is the set of points in a plane that lie a fixed distance, called the radius, from any point, called the center.
The equation of a circle in standard form is
where <em>r</em> is the radius of the circle, and <em>h</em>, <em>k</em> are the coordinates of its center.
When the center of the circle coincides with the origin
, so

We are also told that the circle contains the point (0, 1), so we will use that information to find the radius <em>r</em>.

Therefore, the standard form of the equation of the circle is
.