Answer:
Option D is correct.
The equation with roots 3 plus or minus square root 2 is x² - 6x + 7
Step-by-step explanation:
The roots of the unknown equation are
3 ± √2, that is, (3 + √2) and (3 - √2)
The equation can then be reconstructed by writing these roots as the solutions of the quadratic equation
x = (3 + √2) or x = (3 - √2)
The equation is this
[x - (3 + √2)] × [x - (3 - √2)]
(x - 3 - √2) × (x - 3 + √2)
x(x - 3 + √2) - 3(x - 3 + √2) - √2(x - 3 + √2)
= x² - 3x + x√2 - 3x + 9 - 3√2 - x√2 + 3√2 - 2
Collecting like terms
= x² - 3x - 3x + x√2 - x√2 - 3√2 + 3√2 + 9 - 2
= x² - 6x + 7
Hope this Helps!!!
Mode is the number that shows up the most
in this case, it is 71,500 which shows up twice, one more than any of the other numbers
hope this helps
Answer:
0,05
Step-by-step explanation:
1)First, Let’s find the mean of the data table
12 + 10 + 12 + 6 + 8 + 4 + 2 + 12 = 66
66 ÷ 8 = 8,25
2)12 - 8,25 = 3,75
10 - 8,25 = 1,25
12 - 8,25 = 3,75
6 - 8,25 = -1,75
8 - 8,25 = -0,75
4 - 8,25 = -3,75
2 - 8,25 = -5,75
12 - 8,25 = 3,75
3) 3,75 + 1,25 + 3,75 - 1,75 - 0,85 - 3,75 - 5,75 + 3,75 = 0,4
0,4 ÷ 8 = 0,05
So its 12 divided by 1/5 so
12 x 1= 12
1 x 5= 5
That is 12 over 5 and u will divide the numerator by the denominator to get 2.4
Dont know if thts exactly right bcuz its been a while since i learned this but i hope it helps
Answer:
5m
Step-by-step explanation:
Given data
Ratio of length to breadth is 5 : 3
hence in fraction form it is 5/3
the breadth of rectangle is 60m
let the length be x
So
5/3= x/3
cross multiply we have
5*3= 3x
15= 3x
divide both sides by 3
x= 15/3
x= 5m
Hence the length is 5m
