Answer:
The expression is irrational.
Step-by-step explanation:
Irrational and rational numbers are all real numbers. However, rational numbers can also be expressed in terms of a fraction where as irrational numbers are composed of non-terminating and non-repeating decimals. So, irrational numbers are numbers that when calculated produce a decimal that has no end and has no pattern of repetition. Anytime you calculate with an irrational number, no matter multiplication, division, subtraction or addition, the answer will always be irrational. In the given expression, is an irrational number because it is an imperfect square and will produce a non-terminating and non-repeating decimal when solved:
= 1.7320508...
Since the expression contains an irrational number, the solution must also be irrational.
Answer:
Vertex form:
The vertex is
Step-by-step explanation:
For a general quadratic function the form is:
For the function
The values of the coefficients for the function are the following: , ,
Take the value of b and divide it by 2. Then, the result obtained squares it.
Add and subtract
Write the expression of the form
The vertex is (h, k)
The vertex is:
U = (-2,3)
V = (3,0)
midpoint of UV
= ( (3-2)/2 , (3+0)/2 )
= ( 1/2 , 3/2)
= ( 0.5 , 1.5)
X = (0.5 , 1.5) [from fig]
midpoint of UV = X
W= (-2,-3)
V =( 3.0)
Y = ( (-2+3)/2 , (-3+0)/2 )
= (0.5 , - 1.5)
Y = ( 0.5 , -1.5) [ from fig ]
Y is the midpoint of WV
by midpoint theorem ,
UW = 2( XY )
Answer:
A
Step-by-step explanation: