If we would have assigned a different value for x, the equation would have given us another value for y. We could instead have assigned a value for y and solved the equation to find the matching value of x.
In our equation y=x+7, we have two variables, x and y. The variable which we assign the value we call the independent variable, and the other variable is the dependent variable, since it value depends on the independent variable. In our example above, x is the independent variable and y is the dependent variable.
A function is an equation that has only one answer for y for every x. A function assigns exactly one output to each input of a specified type.
It is common to name a function either f(x) or g(x) instead of y. f(2) means that we should find the value of our function when x equals 2.
Answer:
r≈3.95
Step-by-step explanation:
Using the formula
A=πr^2
Solving for r
r=A
π=49
π≈3.94933
Answer:
V = 18816.57 in^3
Step-by-step explanation:
So we need to find the volume of the inner sphere. Try to picture the coconut as a circle with another circle inside of it. We know that the bigger circle is 55 inches wide, and the distance between the circumferences of the circles is 11 inches. that means the inner circle is 55 - 2(11) inches wide. This is because we have 11 inches of coconut meat on either side of the inner circle.
55 - 2(11) = 33 inches
The radius is half of the diameter, so r = 16.5 inches.
Now just use the formaula V = 
V = (4/3) * 3.14 * (16.5)^3
V = 18816.57 in^3
<em>Also, just a side note.. this is one big coconut..</em>
Answer:
The area of the nonagon is 270cm²
Step-by-step explanation:
The area of a regular polygon is given by

where 'a' is the apothem and 'p' is the perimeter.
The apothem is a=6cm.
The perimeter is p=9×10=90cm.
We substitute the apothem and the perimeter to get:


Answer:
Step-by-step explanation:
x-y=14
x-1/3y=1/10
-y=14-x
y=-14+x
take out the factors
x-10/30y=3/30
30x-10y=3
substitute
30x-10(-14+x)=3
30x+140-10x=3-140
20x/20=-137/20
x=-6.85
y=-14+(-6.85)
y=-20.85