Step-by-step explanation:
I am not fully sure what your teacher is aiming for. it friends very much on what you were just discussing in class (which I don't know).
but the first thing coming to mind is a minus sign ("-"). squaring a negative number removed the minus and makes the result equal to squaring the same positive number.
just for the undoing the 1/2 :
that is, because a fraction as exponent specifies in its denominator the root to be calculated for the basic value or expression.
so, 1/2 means square root. and yes, square is the inverse function of a square root, and it "undoes" the square root.
in exponent calculation it just means that for exponent 1 to the power of exponent 2 we simply multiply both exponents. and so, 1/2 × 2 = 1
FYI - the numerator still represents an original "to the power of" operation.
so, e.g. 3/2 would mean put the basis to the power of 3 and then do the square root of that result. or the other way around. these operations are commutative (the sequence does not matter).
Answer:
( 
, 8 )
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = 10x - 2 ← is in slope- intercept form
with slope m = 10
Parallel lines have equal slopes
then the tangent to the parabola with a slope of 10 is required.
the slope of the tangent at any point on the parabola is 
differentiate each term using the power rule
(a
) = na
, then
= 6x + 2
equating this to 10 gives
6x + 2 = 10 ( subtract 2 from both sides )
6x = 8 ( divide both sides by 6 )
x = 
=
substitute this value into the equation of the parabola for corresponding y- coordinate.
y = 3( )² + 2
= (3 × 
) + 2
= 
+ 
= 
= 8
the point on the parabola with tangent parallel to y = 10x - 2 is ( , 8 )
Answer:
Step-by-step explanation:
It would be 2.43ft cubed. You first have to multiply 6 x 9 to get 54 and then Do 54 x 4.5 to get 243 ft cubed. Next you have to put it in fraction form 243/100. After that you have to divide 243 by hundred( you can do this by moving the decimal place two places to the left) and you get the answer 2.43 ft cubed
P = The kitchen is clean → TRUE
Q = The bedroom is clean → FALSE
1) If P is true, then Q is true. → False statement
2) Statement Q is true if and only if P is true. → False statement
3) Both p and q are true. → False statement
4) Statement P or Q is true. → True statement ⇒ Statement P is true.
The answer is: The statement "Statement P or Q is true" is true.
There you go! I really hope this helped, if there's anything just let me know! :)
