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!!!
Answer:
The perimeter is multiplied by 5.
Step-by-step explanation:
Perimeter of a rectangle:
The perimeter of a rectangle with sides l and w is given by:

The side lengths of a rectangle are all multiplied by 5.
This means that
. So

What happens to its perimeter?
The rate is:

The perimeter is multiplied by 5.
Simple,
using the Pythagorean Theorem...

You have the hypotenuse (C) and one of the legs (A)
So, plug in what you know...

144+

=400
Now,isolate


-144 -144
Leaving you with...

So, now,

, to find what b is..
b=16
Thus, your answer.
Answer:
Options C. and D. are correct.
Step-by-step explanation:
Let 
Equation of a line is given by 

Put 

Put 

Put 

Put 

Put 

So, points
satisfy the equation 
Therefore,
points
lie on the line through
and 
Options C. and D. are correct.