X² + 4x + 4 = 25
(x+2)² = 25
x + 2 = <span>±5
x + 2 = -5 or x + 2 = 5
x = -5 -2 x = 5 - 2
x = -7 x = 3
</span><span>The solutions are x=-7 and x=3</span>
Answer:
Step-by-step explanation:
Domain of the function will be,
{x ∈ R | x ≠ -2}
Range of the function is,
{y ∈ R | y ≠ -4}
Intercepts of the function,
Their are no intercepts of the given rational function.
Horizontal asymptotes:
Horizontal line parallel to x-axis representing discontinuity.
y = -4
Vertical asymptotes:
Vertical line parallel to y-axis representing discontinuity.
x = -2
No oblique asymptotes.
Answer:
Step-by-step explanation:
The sum of the ages of a Mother and her son is 78 , three years ago the mother is five times as old as the son, what is their present ages?
To solve this , let the age of the mother be x and the age of the son be y , from the first statement :
x + y = 78
Three years ago , the mother will be x- 3 and the son will be y - 3 , from the second statement:
x - 3 = 5 ( y-3)
x- 3 = 5y - 15
x - 5y = -12
The resulting equations are
x + y = 78
x - 5y = -12
This is called a simultaneous linear equation , that means it is a linear equation.
The side of a square is xcm , if the difference between the area and the perimeter is 12 , find the legth of its side.
Interpretation:
The formula for the area of a square is 
and the perimeter is 4l , from the question , we have
- 4x = 12
This is not a linear equation , it is simply a quadratic equation , so the situation is non linear
Answer:
D.Appraisal support
Step-by-step explanation:
Social relationships are upheld through offering social supports with intention of being helpful to the receiver.It can be in form of emotional ., instrumental, informational and appraisal.
In emotional social support, the sender expresses his empathy, love and care to the receiver.Occurs when you give hope to a friend by offering a listening ear.
Instrumental social support involves offering a tangible help or service to the receiver.You can decide to perform dishes while your sister attends a salon appointment to fix her hair.
Informational support is all about giving advise, information and suggestions concerning the issue.
Appraisal social support is where you offer information vital for self-evaluation.For example, Hakim's best friend reminds Hakim that his performance in the previous Calculus exams was good so he should be positive about passing the final exam as it will cover similar topics.
