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.
<span>2<span>x2</span>+xy+2<span>y2</span>=5</span>Implicit differentiation yields<span>4x+y+x<span>y′</span>+4y <span>y′</span>=0</span>Solve for <span>y′</span><span>.
answer is- y = 4x+ y /5x</span>
Answer:
See below ~
Step-by-step explanation:
<u>Question 1</u>
<u>The missing angles</u>
- Both the unknown angles have the same value as the other two angles in the triangles are the same
- ∠(missing) = 180 - (72 x 2)
- ∠(missing) = 180 - 144
- ∠(missing) = 36°
⇒ The sides are <u>equal</u>
⇒ Angles are <u>not 90°</u>
⇒ It is a <u>rhombus</u>
<u></u>
<u>Question 2</u>
- The <u>diagonals</u> of the shape <u>bisect other</u> (Statement 1)
- NY = NW (given)
- XN = NZ (given)
- ∠XNY = ∠WXZ (vertically opposite angles)
- ΔXNY ≅ ΔWXZ (SAS)
- They form <u>two congruent triangles</u> (Statement 2)
- From these two statements, it is evident the figure is a <u>parallelogram</u>
