First you plug in the variables:
(-3)(2)+(6)(-3)(4)
Multiply:
-6+(-18)(4)
-6+-72
Add and your answer comes out to be:
-78
Answer:
See below
Step-by-step explanation:
I think we had a question similar to this before. Again, let's figure out the vertical and horizontal distances figured out. The distance from C at x=8 to D at x=-5 is 13 units while the distance from C at y=-2 to D at y=9 is 11 units. (8+5=13 and 2+9=11, even though some numbers are negative, we're looking at their value in those calculations)
Next, we have to divide each distance by 4 so we can apply it to the ratio. 13/4=
and 11/4=
. Next, we need to read the question carefully. It's asking us to place the point in the ratio <em>3</em> to <em>1</em> from <em>C</em> to <em>D</em>. The point has to be closer to endpoint D because of this. Let's take each of our fractions, multiply them by 3, then add them towards the direction of endpoint D to get our answer (sorry if that sounds confusing):

Therefore, our point that partitions CD into a 3:1 ratio is (
).
I'm not sure if there was more to #5 judging by how part B was cut off. From what I can understand of part B, however, I believe that Beatriz started from endpoint D and moved towards C, the wrong direction. She found the coordinates for a 1:3 ratio point.
Also, for #6, since a square is a 2-dimensional object, the answer needs to be written showing that. The answer for #6 is 9 units^2.
Question 7: 40. 40 is way above the other data.
Question 8: Median is 7, and the range is 12, the difference is 5.
Question 9: The first mean was 6, and it went up to 6.75. There is a 0.75 difference.
Question 10: The range increases by one.
Answer:
k = 5
Step-by-step explanation:
Since the quantities are in direct proportion then the equation relating them is
y = kx ← k is the constant of proportion
The y- axis is number of cups and x- axis is pounds of sugar
To find k use any of the 5 points highlighted on the graph
Using (8, 40 ), then
40 = 8k ( divide both sides by 8 )
5 = k