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
The length of AB would be 38 units
<h3>How to determine the length AB?</h3>
The attached image represents the missing piece in the question
Considering the triangle BCD;
Calculate the length BC using the following Pythagoras theorem
BC^2 = CD^2 + BD^2
This gives
BC^2 = 10^2 + 8^2
Evaluate
BC^2 = 164
Considering the triangle CBA;
Calculate the length AB using the following Pythagoras theorem
AB^2 = AC^2 - BC^2
This gives
AB^2 = 40^2 - 164
Evaluate
AB^2 = 1436
Take the square root
AB = 38 (approximated)
Hence, the length of AB would be 38 units
Read more about right triangles at:
brainly.com/question/2437195
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Answer:
pythagorean theorem
Step-by-step explanation:
square both of them and then add them together and finally take the square root of that number
i believe in you
Answer:
Step-by-step explanation:
To find the x int, sub in 0 for y and solve for x
5x - 3y = 30
5x - 3(0) = 30
5x = 30
x = 30/5
x = 6....so the x int is (6,0)
to find the y int, sub in 0 for x and solve for y
5x - 3y = 30
5(0) - 3y = 30
-3y = 30
y = 30/-3
y = -10...so ur y int is (0,-10)
