These questions are no problem, so long as you remember the rules for rotations. A point that is rotated 90 counterclockwise is simply x and y flipped, and negating the y.
For example, 2,9 becomes -9, 2.
So point A would be -1, 1, B would be -2, 1. So on and so forth.
Answer:
Step-by-step explanation:
Part A: The pancake is a cylinder shape with a circular top and bottom and straight middle.
Part B: Rotating a circle will NOT make a cylinder. Instead rotating a rectangular around a vertical axis will. It is a rectangle of 1cm height and 7cm length rotating around an axis at its edge.**
**Thanks to Moderator wegnerkolmp2741o who pointed out that it has to be a rectangle of 1cm height and 7cm length rotating around an axis at its edge. My original option of 1cm height and 14cm length rotating around its center would cause an overlapping shape.
Y intercept - 0.4
x intercept- 0.3
Answer:
-5n + 8
Step-by-step explanation:
<u>1. What is the difference?</u>
The sequence goes down by 5. This means that the formula will have -5n in it.
<u>2. Work out the term before the first term.</u>
The first term is 3, and we know that the sequence goes up by 5. So, to get the term before 3 we would add 5.
3 + 5 = 8 Remember, this is positive 8. (+8)
<u>3. Put that term at the end of the equation. </u>
We have -5n already and we just worked out the term before the first one which is positive 8 - so put that at the end of the equation.
-5n + 8 This is our answer!
Just to prove it works:
<em>Substitute: n = term</em>
Lets see if we can get the 3rd term which is -7. (n = 3)
-5(3) + 8
-15 + 8 = -7
See, it works!
Answer:
Step-by-step explanation:
The point-slope form of an equation of a line:
<em>m</em><em> - slope</em>
<em>(x₁, y₁)</em><em> - point on a line</em>
<em />
We have
Substitute:
