Point slope formula is y= mx+b. To find the slope, or m, you need to find the "rise over run". rise = y coordinates, run = x coordinates. And the slope equation is y1-y2/x1-x2. So let's say the first point is (x1,y1) and the second is (x2,y2). that would be 35-(-31)/5-(-6)= 66/11 or 6/1 aka up six, across one. That is your slope. So far you have y=6x+b, next plug (5,35) into that equation and solve for b (aka the y intercept). So: 35=6(5)+b. 35-30=b, b=5. So your final equation is y=6x+5.
Basically you’re multiplying them both
(x^3 + 2x - 1)(x^4 - x^3 + 3)
so you need to make sure you multiply each one, if you do it right, you should end up with
x^7 - x^6 + 3x^3 + 2x^5 - 2x^4 + 6x -x^4 +x^3 -3
simplify by adding like terms
x^7 - x^6 + 2x^5 - 3x^4 + 4x^3 + 6x - 3
your answer would be the third option
Answer:
4 times
Step-by-step explanation:
A lattice point may be defined as the point of intersection of two grid lines or more than two grid lines that is placed in a regularly spaced points arrays. This is called a lattice point.
In the context, Chris tries to label every lattice point in a coordinate plane with its square of distance from the point to its origin. The lattice points means that the numbers are both the integers. So for number 25, Chris has to label 4 times
i.e. (55),(-5,5),(5,-5),(-5,-5)
Hi there!
The correct answer is 6.25 times.
This is how you get there:
1) First off, you are going to need to have the same unit (either cm or mm). I used millimeters for this problem. 25cm=250mm
2) This next part is very easy to get wrong. You need to figure out what you are dividing, and by what. Simply look at the problem. <span><em>"How much longer is the guinea pig than her fish?" </em>This shows what numbers you should be getting. The guinea pig is 250mm long, where the fish is only 40. This means that her guinea pig should be larger. 250÷40=6.25
If you did this problem the other way, you would've ended up with .16. If you put the sizes into perspective, you will notice that this is highly unlikely.
I hope that I have been able to simplify this problem for you!
Brady
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