Answer:
x = 5
Step-by-step explanation:
You have a right triangle, so you can use the Pythagorean Theorem.
a^2 + b^2 = c^2
x^2 + 12^2 = 13^2
x^2 + 144 = 169
x^2 = 25
x = 5
Answer: x = 5
Answer:
x = 8,49 ft
y = 4,24 ft
Step-by-step explanation:
Let x be the longer side of rectangle and y the shorter
Area of rectangle = 36 ft² 36 = x* y ⇒ y =36/x
Perimeter of rectangle:
P = 2x + 2y for convinience we will write it as P = ( 2x + y ) + y
C(x,y) = 1 * ( 2x + y ) + 3* y
The cost equation as function of x is:
C(x) = 2x + 36/x + 108/x
C(x) = 2x + 144/x
Taking derivatives on both sides of the equation
C´(x) = 2 - 144/x²
C´(x) = 0 2 - 144/x² = 0 ⇒ 2x² -144 = 0 ⇒ x² = 72
x = 8,49 ft y = 36/8.49 y = 4,24 ft
How can we be sure that value will give us a minimun
We get second derivative
C´(x) = 2 - 144/x² ⇒C´´(x) = 2x (144)/ x⁴
so C´´(x) > 0
condition for a minimum
Step-by-step explanation:
if14a^2b/7a^2b answer is 2
and if the sign is addition then the answer is21a^2b if subtraction answer is7a^2b
It is negative because the plot is going down not up
Answer:
a number plus 14
fourteen more than a number
a number increased by 14
Step-by-step explanation:
The phrases which can be represented by the algebraic expression x + 14 are
Let x = the unknown number
a number plus 14
= x + 14
fourteen more than a number
= x + 14
a number increased by 14
x + 14
