They are all correct good job
Answer:
5/4
Step-by-step explanation:
You just need to multiply 1/2 by 2 to give you a common denominator:
3/4+2/4
From there you can add the numerators:
5/4
HTH :)
Answer:
( -1 , 1 )
Step-by-step explanation:
(x1,y1) = (5,9)
(x2,y2) = (-7,-7)
=(-7+5/2 , -7+9/2)
= (-1,1)
Hi!
A is <u>FALSE</u> - If you shrink a shape, it is not increased a shape, yet it is still dilating.
B is <u>TRUE</u> - When you dilate an angle, you're really just shortening or lengthening the sides, but the angle isn't changing.
C is <u>FALSE</u> - Explained above.
D is <u>FALSE</u> - Two triangles that are congruent are <em>exactly the same, </em>therefore if you dilate a triangle, you are changing the size so they are not the same.
E is <u>TRUE</u> - Similar shapes are always the same <em>except for their size. </em>When you dilate a shape, you only change the size, therefore they are equal in every other way and they are similar.
Answer:
<em>a) </em>
<em />
<em>b) The coordinates of P are</em>
<em />![\displaystyle \left( \frac{3\pi}{2},1\right)](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Cleft%28%20%5Cfrac%7B3%5Cpi%7D%7B2%7D%2C1%5Cright%29)
Step-by-step explanation:
<u>Translation</u>
The dashed line shows the graph of the function
![y = \sin x](https://tex.z-dn.net/?f=y%20%3D%20%5Csin%20x)
This function has a maximum value of 1, a minimum value of -1, and a center value of 0.
a)
Graph G shows the same function but translated by 2 units up, thus the equation of G is:
![\boxed{G(x)= \sin x + 2}](https://tex.z-dn.net/?f=%5Cboxed%7BG%28x%29%3D%20%5Csin%20x%20%2B%202%7D)
b) The coordinates of P correspond to the value of
![x = \frac{3\pi}{2}](https://tex.z-dn.net/?f=x%20%3D%20%5Cfrac%7B3%5Cpi%7D%7B2%7D)
The value of G is
![\displaystyle G(\frac{3\pi}{2})= \sin \frac{3\pi}{2} + 2](https://tex.z-dn.net/?f=%5Cdisplaystyle%20G%28%5Cfrac%7B3%5Cpi%7D%7B2%7D%29%3D%20%5Csin%20%5Cfrac%7B3%5Cpi%7D%7B2%7D%20%2B%202)
Since
![\sin \frac{3\pi}{2}=-1](https://tex.z-dn.net/?f=%5Csin%20%5Cfrac%7B3%5Cpi%7D%7B2%7D%3D-1)
![\displaystyle G(\frac{3\pi}{2})= -1+ 2=1](https://tex.z-dn.net/?f=%5Cdisplaystyle%20G%28%5Cfrac%7B3%5Cpi%7D%7B2%7D%29%3D%20-1%2B%202%3D1)
The coordinates of P are
![\displaystyle \left( \frac{3\pi}{2},1\right)](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Cleft%28%20%5Cfrac%7B3%5Cpi%7D%7B2%7D%2C1%5Cright%29)