The first step to solve this is to draw parallelogram AMDC with AB drawn in perpendicular to CD. Then, label all sides. Remember, the area for a parallelogram is base * height. The height is the AB that you were given, or 6. The base will be CD. But,
you only have BD = 20. If...
Jerica, are you sure that you copied this problem out correctly? I ask because you add 1/12 to 5/12 to get 6/12 which is 1/2. There is no way to add a whole number because then you would get something larger than 1, but the answer is only 1/2.
This question is such that you don't have to analyze the equation to graph it. For this one, your first point will be at (-4,4), which means you move from the origin left 4, and then up another 4. This puts the point in quadrant II. Then, from that point,
count the slope. When I teach this,...
In the text that I use, when they ask you to estimate an answer, they mean to use front-end rounding on each addend, and add those together. Front-end rounding means to round to the first digit, no matter which place it is in. In this case, you get 50+100+20+6=176.
and then round to the tens...
to factor this type of polynomial, you need to consider what it looks like. First, look for any common factors, which this one doesn't have. Then, you need to look at it's form. This trinomial is a standard quadratic where you have: ax^2+bx+c, where a=1,
b=-1, and c=-56. From this,...
To answer this question, you need to see if the ordered pair solves both equations. If it is a solution to both, and only to both, then it solves the system. If it doesn't work in either one, it is not a solution. So, find out if:
2(5) + 6(-4) = -12 and if 2(5) = (-4) = 6.
First thing that I can see is that you can factor out a 2xz since there is an x and a z in each term, and 2 is a factor of each coefficient. Did you type that in correctly? If so, that is all that can be pulled out, and the y in the first term means that
you can't factor farther.
Is this all of the information? What is the function f(x) for this relationship? Or, are there more directions for it?
This looks like an interest problem. The basic formula is:
I = Prt, where I is the interest earned, P is the principle or beginning amount, r is the interest rate in a decimal, and t is the time in years.
So, for this one, you have
110 = 800 * r * 2.5
You are apparently looking for the interest...
Elijah, this is a polynomial multiplication problem. If you have learned FOIL, that is partway there. You have to make sure that each term in the trinomial is multiplied by each term in the binomial. It will go something like:
w*2w + w*3 + (-4u)*2w + (-4u)*3 + (-7)*2w + (-7)*3