Answer:
no
Step-by-step explanation:
If this were a right triangle we would assume the Pythagorean Theorem to prove it


this gives us
49+64=84.64
this is 143=84.64 and therefore not equal and not a right triangle
Answer:
y = 3x^3 is the rule representing the function.
Step-by-step explanation:
There are 4 points given.
(0,0), (1,3), (2,24), (3,81), (4,192)
We are asked to find the function or rule connecting x and y
On seeing the pair, first let us find y/x
We observe that y is a multiple of 3. Let us find the values of y/3
y/3 = 0, 1, 4, 9, 16
= 0^2,1^2,3^2,4^2,....
i.e. y/3 is the square of x.
Hence relation is y = 3x^2
Answer:
43
Step-by-step explanation:
You are going to want to substitute the x of the function f(x) with the function of g(x) and replace the x in g(x) with -4
(f+g)(-4) = 4+3((-4)^2-3)
=43
hope this helped!
Answer:
the answer is b
Step-by-step explanation:
7x^2+6x-9x-6x^2+15
combine like terms
7x^2-6x^2= x^2
6x-9x= -3x
x^2-3x+15
Answer:
Step-by-step explanation:
rate of leaking water = 9500 cm³/min
height of tank, H = 6 m = 600 cm
diameter of tank, = 4 m
radius of tank, R = 2 m = 200 cm
dh/dt = 20 cm/min
at any time, h = 2 m Let at that time radius of the tank is r.
According to the diagram
R / H = r / h
200 / 600 = r / h
r = h/3
The volume of tank is given by


Differentiate with respect to t


dV/dt = 279111.11 cm³/min
This is the volume of water increasing per minute in the tank.
Let C be the rate of volume of water pumped into the tank.
So, C = 279111.11 + 9500
C = 288611.11 cm³/min