Answer:
you just have to plot the dots then create a shape
Step-by-step explanation:
i'm not too sure if you're supposed to make a triangle but...
you kinda have to use rise/run to plot the points
good luck :)
i hope this helps
have a good one !!
The number of hours since the bakery opened, plus the number of remaining boxes is equal to 42.
x + y = 42
So the number of boxes remaining is equal to y, and
y = 42 - x, the number of hours the bakery was open.
So at the start of the day, the bakery was open for 0 hours, and y, the number of boxes "remaining" at the start of the day, will be equal to 42 - 0 = 42.
<span>The formula fro the volume of a pyramid with a square base is:
Volume = L * L * H / 3
L * L * 9.6 / 3 = 147.97
L * L = (3 * 147.97) / 9.6
L * L = 46.24
Let's take the square root of both sides.
L = sqrt(46.24) = 6.8
The length of one edge of the square base is 6.8 units.</span>
Answer:
Step-by-step explanation:
There are but a few rules we have to follow when completing the square. However, they are very important rules so we have to be careful. First and foremost, the coefficient on the x-squared term HAS to be a positive 1. If it is not, we have to manipulate the function so it is a positive 1. Then we take half the linear term, square it and add it to both sides (and sometimes this can be very tricky. It is tricky here, so pay attention.)
We begin by separating the x terms from the constant by setting the parabola equal to 0 and moving the constant:
The coefficient on the x-squared is a negative 1, so we factor out the negative:
The linear term is 2. We take half of 2 which is 1, square 1 to get 1 and add it into the left side. BUT don't forget that we have a -1 out front of the ( ) refusing to be ignored. It is a multiplier. That means that we didn't add in a +1, we added in -1(1) which is -1. That is what we add to the right side:
which simplifies to
The reason for this process is that by completing the square you create a perfect square binomial on the left. We rewrite the parabola in terms of that perfect square binomial:
which simplifies to
From this you can now determine that the vertex of the parabola is (-1, -4)
Answer: Center (-2,5) and radius 6
Step-by-step explanation:
Dividing both sides by 3, we get
So, the center is (-2,5) and the radius is