Answer:
s = 0.75 inches
Step-by-step explanation:
Let s = side length of the original square
s + 3 = side length of the new square
Area of a square = s²
A = s²
A = (s+3)²
A = s² + 6s + 9
Area multiplied by 25 = 25 * s²
So,
s² + 6s + 9 = 25s²
25s² - s² - 6s - 9 = 0
24s² - 6s - 9 = 0
8s² - 2s - 3 = 0
a = 8
b = -2
c = -3
s = -b ± √b² - 4ac / 2a
= -(-2) ± √(-2)² - 4(8)(-3) / 2(8)
= 2 ± √4 - (-96) / 16
= 2 ± √100 / 16
= 2 ± 10/16
s = 2 + 10/16 or 2-10/16
= 12/16 or -8/16
= 0.75 or -0.5
side length can not be negative
Therefore, s = 0.75
A = s²
A = (0.75)²
= 0.5625
A = (s+3)²
= (0.75+3)²
= 3.75²
= 13.95
Answer:
5 1/3 + 9 2/3
Step-by-step explanation:
A number minus a negative number will be the same thing as addition
Answer:
CE = 10.
Step-by-step explanation:
EC / 25 = 6/15
EC = 25*6/15
EC = 10
<span>The function can be represented as
y = f(x) =px(q -x)
So from the coordinate (6, 0)
y = 0 and x = 6
Substituting into the equation we have
0 = 6p(q - 6)
0 = 6pq -36p
6pq = 36p
q = 36p/ 6p
q = 6</span>
