Answer:
(x - 3, y + 6)
Step-by-step explanation:
Point K starts as (1, -3)
Point K after the translation becomes (-2, 3)
The x-coordinate goes from 1 to -2. That is a change of -3 in x, or x becomes x - 3.
The y-coordinate goes from -3 to 3. That is a change of +6 in y, or y becomes y + 6.
Answer: (x - 3, y + 6)
Answer:
Obtaining the area or perimeter is the easiest and basic skills in geometry, however, when combining several plane figures, composite shapes are formed, which can include: squares, circles, triangles, rectangles, trapezoids, etc.
To obtain the area or perimeter of this type of figures should analyze the figure and follow these steps:
STEP I
♦ Must identify which figures form the total.
STEP II
♦ Analyze if there are parts of the figures that you will not need, for example the sides that join two or more figures.
STEP III
♦ Obtain separately the areas and perimeters of each figure
STEP IV
♦Add the obtained in each figure.
Hope it helps you!
Step-by-step explanation:
Answer: -1
Step-by-step explanation: plug in 25 into (-1)^n
![\bf \textit{vertical parabola vertex form with focus point distance} \\\\ 4p(y- k)=(x- h)^2 \qquad \begin{cases} \stackrel{vertex}{(h,k)}\qquad \stackrel{focus~point}{(h,k+p)}\qquad \stackrel{directrix}{y=k-p}\\\\ p=\textit{distance from vertex to }\\ \qquad \textit{ focus or directrix}\\\\ \stackrel{"p"~is~negative}{op ens~\cap}\qquad \stackrel{"p"~is~positive}{op ens~\cup} \end{cases} \\\\[-0.35em] \rule{34em}{0.25pt}](https://tex.z-dn.net/?f=%5Cbf%20%5Ctextit%7Bvertical%20parabola%20vertex%20form%20with%20focus%20point%20distance%7D%20%5C%5C%5C%5C%204p%28y-%20k%29%3D%28x-%20h%29%5E2%20%5Cqquad%20%5Cbegin%7Bcases%7D%20%5Cstackrel%7Bvertex%7D%7B%28h%2Ck%29%7D%5Cqquad%20%5Cstackrel%7Bfocus~point%7D%7B%28h%2Ck%2Bp%29%7D%5Cqquad%20%5Cstackrel%7Bdirectrix%7D%7By%3Dk-p%7D%5C%5C%5C%5C%20p%3D%5Ctextit%7Bdistance%20from%20vertex%20to%20%7D%5C%5C%20%5Cqquad%20%5Ctextit%7B%20focus%20or%20directrix%7D%5C%5C%5C%5C%20%5Cstackrel%7B%22p%22~is~negative%7D%7Bop%20ens~%5Ccap%7D%5Cqquad%20%5Cstackrel%7B%22p%22~is~positive%7D%7Bop%20ens~%5Ccup%7D%20%5Cend%7Bcases%7D%20%5C%5C%5C%5C%5B-0.35em%5D%20%5Crule%7B34em%7D%7B0.25pt%7D)
something noteworthy is that the squared variable is the "x", thus the parabola is a vertical one, the "p" value is negative, so is opening downwards, and the h,k is pretty much the origin,
vertex is at (0,0)
the focus point is "p" or 5 units down from there, namely at (0, -5)
the directrix is "p" units on the opposite direction, up, namely at y = 5
the focal width, well, |4p| is pretty much the focal width, in this case, is simply yeap, you guessed it, 20.
means that the triangles are congruent, that is exactly identical.
The order of letters is very important. Form the given congruence we can write the following ratio:
(notice that we do not mix the order: the first 2 letters of VWX are compared to the first 2 letters of KLJ and so on)
the ratio is one because the corresponding sides are equal.
Answer: 5 units
