Answer:
(4,1)
Step-by-step explanation:
point b is at (-1, 4) and the rule for 90 degree clockwise rotations is (y, -x) so it's (4, 1)
Answer:
a
Step-by-step explanation:
square formula for area is 
<h2>
Answer:</h2>
The table which shows that a function's range has exactly three elements is:
x y
3 8
4 6
5 12
6 8
<h2>
Step-by-step explanation:</h2>
<u>Domain of a function--</u>
The domain of a function is the set of all the x-values i.e. the value of the independent variable for which a function is defined.
<u>Range of a function--</u>
It is the set of all the y-value or the values which are obtained by the independent variable i.e. the values obtained by the function in it's defined domain.
a)
x y
1 4
2 4
3 4
Domain: {1,2,3}
Range: {4}
Hence, the range has a single element.
b)
x y
3 8
4 6
5 12
6 8
Domain: {3,4,5,6}
Range: {6,8,12}
Hence, the range has three element.
c)
x y
0 5
2 9
0 15
This relation is not a function.
because 0 has two images.
0 is mapped to 5 and 0 is mapped to 15.
d)
x y
1 4
3 2
5 1
3 4
This relation is not a function.
because 3 has two images.
3 is mapped to 2 in the ordered pair (3,2) and 3 is mapped to 4 in the ordered pair (3,4)
If you are working out the diagonal line you need to use Pythagoras Theroum: c² = a²+b²
c² = 7²+12² = 193
√c² = c = √193 = 13.89
The length of the diagonal side is 13.89,
Hope this helps! :)
Answer:
40
Step-by-step explanation:
(2x+1/(2x))^5 *(2x -1/(2x))^5
= ((2x)^2 -1/(2x)^2)^5 (a+b)*(a-b) =a2-b2
= (4x^2-1/4(x)^2)^5
now
x =4x^2. ,a = 1/4(x)^2 ,n =5
we have
general term = Cr *x^r *a^(n-r)
= Cr * (4x^2)^r * (1/4(x)^2)^(n-r)
= Cr *4^r * X^2r * 1/( 4^(n-r) *x^(2n-2r)
= Cr * 4^r/4^(n-r) * x^(2r)/x^(2n-2r)
= Cr * 4(2r-n) *x(4r-2n)
now for x^2
4r-2n = 2
4r -10=2
4r =12
r = 3
now for coeff
C(5,3) * 4^(2*3-5)
5!/(3!*(5-3)!) * 4
5*4/(2*1)*4
40
