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.
Step-by-step explanation:
(X1,Y1) = (-2,2)
(X2,Y2) = (0,1)
• Find slope.
m = (Y2 - Y1)/(X2 - X1)
m = (1 - 2)/(0 - (-2))
m = -1/2
The answer is C.
Answer:
x <5
Step-by-step explanation:
2(4 x + 3) < 5 x + 21
Distribute
8x +6 < 5x +21
Subtract 5x from each side
8x -5x +6 < 5x-5x+21
3x +6 < 21
Subtract 6 from each side
3x+6-6 <21-6
3x <15
Divide each side by 3
3x/3 <15/3
x <5
Answer: the first option is the correct answer.
Step-by-step explanation:
Martin runs 3/4 mile three days a week. We would assume that he runs a total of 3/4 miles in three days of each week.
In four weeks the number of days that he runs would be
3 × 4 = 12 days
Since he runs 3/4 miles in 3 days, the number of miles that he would run in 12 days would be
3/4 × 12 = 9 miles
He would run 9 miles in four weeks
Answer:
3.5 units
Step-by-step explanation:
Because ΔPQT is 45-45-90, QT = PQ√2. Therefore, <em>QT is 2</em>.
<em>RS is also 2</em> because all sides of a square are congruent.
Knowing this, we can use the pythagorean theorem to find SU.
<em>RS² + SU² = RU² -> 2² + SU² = 4² -> 4 + SU² = 16 -> SU² = 12</em>
So, SU = √12 ≈ 3.5 units
