Answer:
x=-1 y=4 (-1,4)
Step-by-step explanation:
Answer:
Proof below.
Step-by-step explanation:
<u>Quadratic Formula</u>

<u>Given quadratic equation</u>:

<u>Define the variables</u>:
<u>Substitute</u> the defined variables into the quadratic formula and <u>solve for x</u>:







Therefore, the exact solutions to the given <u>quadratic equation</u> are:

Learn more about the quadratic formula here:
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9514 1404 393
Answer:
C. 12cm
Step-by-step explanation:
The equation for the perimeter of the rectangle is ...
P = 2(L+W)
34 = 2(n +m)
Solving for m, we get
m = 17 -n . . . . . . . divide by 2, subtract n
__
The Pythagorean theorem gives the relationship between the sides and the hypotenuse
m^2 +n^2 = (n+1)^2
(17 -n)^2 +n^2 = (n +1)^2 . . . . . . substitute for m
289 -34n +n^2 +n^2 = n^2 +2n +1 . . . . eliminate parentheses
n^2 -36n +288 = 0 . . . . . . . put in standard form
(n -12)(n -24) = 0 . . . . . . . . . factor
n = 12 . . . . . . . . . . n=24 is an extraneous solution here
The value of n is 12 cm.
Answer:
Real numbers are "closed" under multiplication
Irrational numbers are "not closed" under division
Integers are "closed" under subtraction
Positive ration numbers are "closed"
Hope this helps! :)
It really depends what you're understanding or how the problem is set up.