Answer:
If the perimeter of a square is 28 inches and the area of the square is (x2 + 4x + 4) square inches, and x is a both a real and a positive number, then the value of x must be 5.
Step-by-step explanation:
All sides of a square are equal length.
The area of a square is the side length squared.
perimeter p, side length s, area a, and variable x.
p = 28. s = ? a = x^2 + 4x + 4. x = ?
p = 28
p = 4s.
28 = 4s.
7 = s.
a = s^2.
s = 7.
a = 7^2.
a = 49.
a = x^2 + 4x + 4.
a = 49.
x^2 + 4x + 4 = 49.
factor x^2 + 4x + 4.
(x+2)(x+2) = 49.
(x+2)^2 = 49.
√ ((x+2)^2) = √49.
take positive answer.
x+2 = 7
x = 5.
Answer:
4. 75
Step-by-step explanation:
To find the area of a triangle, use the formula A = 1/2*b*h. For #4 the base is 15 and the height is 10. So the area is A = 1/2*10*15 = 5*15 = 75.
The area is 75.
Repeat this process with each triangle.
Answer:
The object hits the ground after 3.52 seconds.
Step-by-step explanation:
The height of the object after t seconds is given by the following function:
When will the object hit the ground?
It hits the ground when . So
Since time is a positive measure, we only take the positive value
The object hits the ground after 3.52 seconds.
Easy peasy, this is a representation of differnce of 2 perfect squares
a^2-b^2=(a-b)(a+b)