Given:
There are given that the parent functions as a cosine function:
Where,
The amplitude of the function is 9.
The vertical shift is 11 units down.
Explanation:
To find the cosine function, we need to see the standard form of the cosine function:
Where,
a is the amplitude of the function,
Now,
According to the question:
The amplitude of the function is 9, which means:
The vertical shift is 11 units down, which means:
For period:
Final answer:
Hence, the cosine function is shown below;
Volume of Cylinder =
Based on what we're told:
r (radius) =
h (height) =
So:
Volume of cylinder =
=
Answer:
x = 2
y = 5
Step-by-step explanation:
3x + y = 11 equation (1)
-x + y = 3 multiply this equation by -1
x - y = -3 equation (2)
by adding 2 equations
4x = 8
x = 2
by sub. in Equation (2)
2 - y = -3
y = 2+3
y = 5
Answer:
The third side must be 10: {3, 10, 10}; {10, 3, 3} is not possible.
Step-by-step explanation:
Everything depends on our understanding of "isosceles."
This term indicates that two sides of a given triangle are equal.
If two sides of an isosceles triangle have lengths of 3 and 10, then:
Either 1) Two sides have length 10 and the third side has length 3. This is certainly possible
or
2) sides have length 3 and the third side has length 10. This is NOT possible, since 3 + 3 adds up to 6, which is less than 10.
Answer:
Step-by-step explanation:
Joint variations occurs when one variable depends on the value of two or more variables. The variable varies directly or indirectly with the other variables combined together. The other variables are held constant. From the given examples, the equation(s) that represent joint variations are
1) z = 3x/y
z varies directly with x and inversely with y.
2) w = abc/4
w varies inversely with a,b and c. 4 is the value of the constant of variation.
