Answer:
The other angle is 33
Step-by-step explanation:
Complementary angles add to 90
57+x = 90
subtract 57 from each side
x = 90-57
x = 33
Answer:
The distance from a point (x, y, z) to the xy-plane is given by |z|. Thus the distance from (4,-2,6) to the yz-plane is 6.
Step-by-step explanation:
Actually Welcome to the Concept of the exponents and indices.
here, we should remember one thing that,
3 ^3 = 27 and 1/3^x = 3^-x
so we get as,
(3^-3)^4-x = (3^3)^2x-1
==> 3^-12+3x = 3^6x-3
since the base is same that is 3 , we equate their powers.
-12x+3=6x-3
==> 3+3 = 6x+12x
==> 6 = 18x
hence ===> x = 6/18 = 1/3
hence, x = 1/3
Answer:
B, 24
Step-by-step explanation:
2 : 5 ratio of catching catfish
X : 60
2/5 = X/60
6 x (2/5) = (X/60) x 60
60 x (2/5) = X
X = 60 x (2/5)
X = 24
Therefore he can except to catch 24 catfish
Answer:
Their point of intersection will always be on the line y = x.
Step-by-step explanation:
We have a function f(x) and its inverse is the function f⁻¹(x).
The domain and range of a function replaces each other for the inverse of that function.
So if f(x) and f⁻¹(x) are inverse of each other
and f(a) = b
then a = f⁻¹(b)
Another example to make it clear is that
f(5) = 25
f⁻¹(25) = 5
The function and its inverse will intersect each other at the point where f(x) = f⁻¹(x) which is only possible when a = b.
Hence, a function and its inverse will always intersect at a point on the line x=y.