Answer:
14
Step-by-step explanation:
the four smaller rectangles of each of the corners: 2*1=2. since there are four of them, 2*4=8
the middle, larger rectangle: (6-2-2)*(1+1+1) = 2*3 =6
add small and big rectangles: 8+6 = 14
Answer:
No solution
Step-by-step explanation:
The given equations are :
9x-3y=-6
3x-y=2.....(1)
5y=15x+10
5y-15x=10
or
y-3x=2 .....(2)
Equations (1) and (2) shows that the lines are parallel. We know that for parallel lines, there is no solution.
Answer:
Range of is (−5,11).
Step-by-step explanation:
Given the invertible function Ф(x) which has the domain (−5,11) and the range (−12,1).
Invertible function is the function that inverses another function i.e if y=Ф(x) then x=g(y) where g is called the inverse of Ф and denoted by
Given Ф(x) the function whose domain is (−5,11) and range is (−12,1). Therefore, by definition of invertible function there exist a function g with domain (−12,1) and range (−5,11) which is called the inverse function denoted by
Hence, Range of is (−5,11)
Answer:
f(x)=-2x+9 g(x)=-4x^2+5x-3Now, f o g (x) = f{g(x)} = f(4x^2+5x-3) = 2(4x^2+5x-3) + 9 = 8x^2+10x-6 + 9
Step-by-step explanation:
Answer:
V = 12π
Step-by-step explanation:
Given radius of cone, r = 3 and y = 5
by Pythagorean theorem (or by recognizing that this is a standard 3-4-5 right triangle), we can determine that height of cone, x = 4 in
volume of cone is given by :
V= (1/3) πr²x
= (1/3) x π x 3² x 4
V = 12π