The number in parenthesis after f is the x coordinate. Basically, it says which y coordinate is tied with an x value. In choice a, it says that when x is 0 y is 3, etc.
So, you can look at the graph to see which answer choice has a point from the graph. Choice a says (0,3), and that does not match. Choice b says (5,-1) and that does match. So the answer is B.
*(x,y)*
Answer:
<h2>Three</h2>
The answer is that the shape has three lines of symmetry, one from each vertex to the middle of the opposite side.
Step-by-step explanation:
Answer: 
or 
Step-by-step explanation:
The volume of a cylinder can be found with the following formula:
Where "r" is the radius and "h" is the height of the cylinder.
In this case, let be:
- 
the volume of one of this cylinders and 
the volume of the other one.
- 
the radius of the first one and 
the radius of the other cylinder.
- 
the height of one of them and 
the height of the other cylinder.
Then:
Therefore, you know this:
Simplifying, you get:
Now, knowing the ratios given in the exercise, you can substitute them into the equation:
Evaluating, you get:
Answer:
$9486.68
Step-by-step explanation:
The future value of a annuity formula can be used:
FV = P((1+r)^n -1)/r
750000 = P(1.06^30 -1)/0.06
P = 750000(.06)/(1.06^30 -1) = 9486.68
Adam has to contribute $9,486.68 each year to reach his goal.
Step-by-step explanation:
To find the slope intercept form of any equation using two points, you first need to find the slope. You can do this using the slope formula below.
m(slope) = (y2 - y1)/(x2 - x1)
In this equation, we find the slope by putting in the values we have given the points. The first point you have would be (x1, y1). So if your first point is (3, 1), you would put 3 in for x1 and 1 in for y1. Then you do the same for the second point using (x2, y2).
After you've solved that equation and got m, you can use point-slope form. Take your first point and your newly found slope and plug the values into the following equation.
y - y1 = m(x - x1)
After this, you can solve for y and that will be your slope intercept form.
