Candy draws a square design with a side length of x inches for the window at the pet shop. She takes the design to the printer and asks for a sign that has an area of 16x2 – 40x + 25 square inches. What is the side length, in inches, of the pet shop sign?
Answer:
the length of the sign is inches
Step-by-step explanation:
Given
Area of the square of design =
First we find the roots of equation
The roots of the quadratic equation are given by
where
That is, the factors of the polynomial are and .
So, Area of the square design = =
Area of a square = Length^2
Thus, the length of the sign is inches
Opposite number is the same number with the opposite sign:
So the opposite of
is
, since the original number is positive
opposite of
is
, since the original number is negative
Two solutions exist,
2(x - 1) = 8
2x - 2 = 8
2x = 10
x = 5
&
2(x + 1) = 8
2x + 2 = 8
2x = 6
x = 3
the two solutions are 5 and 3
Answer:
1/3
Step-by-step explanation:
let x=0.333...
10x=3.333...
subtract
9x=3
x=3/9=1/3
20,000 Hz = 2 × 10^4 Hz
150,000 Hz = 1.5 × 10^5 Hz