Step-by-step explanation:
The answer is option b.
Explanation in the pic.
Need any other maths, feel free!!
Answer:
The smallest of the said odd numbers is 27
Step-by-step explanation:
Since it is 3 odd numbers that sums up to 87, the first thing to do is to divide 87 by 3
That is 87/3 = 29, which is an odd number
The nearest odd numbers to 29 are 27 and 31, and the total of all these three odd numbers is 87
That is 27+29+31 = 87, which are consecutive odd numbers.
The smallest odd number here is therefore 27
f(x)=(x+a)/b
or bf(x)=x+a
let f(x)=y
by=x+a
flip x and y
bx=y+a
or y=bx-a
or f^{-1}(x)=bx-a
also g(x) is inverse of f(x)
bx-a=cx-d
so b=c,a=d
again let g(x)=y
y=cx-d
flip x and y
x=cy-d
cy=x+d
y=(x+d)/c
or g^{-1}(x)=(x+d)/c
also f(x) is inverse of g(x)
so (x+a)/b=(x+d)/c
so a=d,b=c
so in either case a=d,b=c
take b=c=1
a=d=2
f(x)=(x+2)/1=x+2
g(x)=1x-2=x-2
so f(x) and g(x) are two parallel lines f(x) with y- intercept=1 and slope 0
g(x) with y-intercept -2 and slope 0
if we take b=c=2,a=d=3
f(x)=(x+3)/2=x/2+3/2
g(x)=2x-3
here f(x) is of slope 1/2 and y-intercept 3/2
g(x) is of slope 2 and y intercept -3
part 3.
f(f(x))=g((x+a)/b)=c[(x+a)/b]-d=(c/b)(x+a)-d
The sum of the interior angles of any polygon is given by (n-2)180°, where n is the number of sides.
Also sum of all the exterior angles of any polygon is 360°
Given (n-2)180° = 3(360°)
=> n-2 = 6
=> n = 8.
Hence the number of sides of a polygon is 8
The standard form of any linear equation with two variables is
, where a, b, and c are constants. To convert this equation to standard form, simply subtract
from both sides to get
We could leave it in this form, though, in this case, it might be better at if we multiplied both sides by -1 to get
