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:
x + y =2
-x -x
y = -1x + 2
Perpendicular is y= 1x + 2
Step-by-step explanation:
A. yes b. yes c. no d. yes e. no. f. yes
Kindly find required figure in the picture attached below :
Answer:
14 feets
Step-by-step explanation:
From Trapezoid ABCD ;
The longer base, AD = 7 feets
Shorter Base ; BC = 5 feets
The Trapezoid GHIJ
Shorter Base = HI
Longer base = GJ
Given that the scale factor between ABCD and GHIJ is 2 ; then
GJ is similar to AD
Hence, side GJ = 2 * length of AD
GJ = 2 * 7 = 14 feets
Answer:
Sample response:
To determine the relationship between quantities, you must determine what to do to the x-values to make them into y-values. The correct operation must turn every x-value into the corresponding y- value in the table. Once you know the relationship, you can use the same operation on all of the x-values that have unknown y-values.
OR:
In a table to get from x to y you have to multiply by a number. To find this you must divide x by y or y by x. So to get the missing quantities you must multiply the last known number by the number you found by dividing.
