Answer:
This is the graph one
Step-by-step explanation:
A(-1,-4) -->A' (1,-4)
B(-3,-2) ---> B'(3,-2)
C(-1,2) ---> C(1,2)
u(x) = x5 – x4 + x2 and v(x) = –x2, which expression is equivalent to (StartFraction u Over v EndFraction) (x)?
2 answers:
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Given :
Center of sphere , C( 1 , -1 , 6 ) .
To Find :
Find equations of the spheres with center (1, −1, 6) that touch the following planes.a) xy-plane b) yz-plane c) xz-plane .
Solution :
a)
Distance of the point from xy-plane is :
d = 6 units .
So , equation of circle with center C and radius 6 units is :
b)
Distance of point from yz-plane is :
d = 1 unit .
So , equation of circle with center C and radius 1 units is :
c)
Distance of point from xz-plane is :
d = 1 unit .
So , equation of circle with center C and radius 1 units is :
Hence , this is the required solution .
Answer:
The translation statement is given by:
After the translation, the coordinates of vertex A is (-2,6).
Step-by-step explanation:
Given :
Vertices of a triangle ABC are:
A(−3, 4), B(4, −2), C(8, 3)
The triangle is translated 2 units up and 1 unit right.
To find the co-ordinates of point A after translation.
Translation rules.
For shift of units up, the translation is given as:
For shift of units right, the translation is given as:
So, it says the triangles is translated 2 units up and 1 unit right.
The translation statement is given by:
So, co-ordinates of point A after translation is given by :
After the translation, the coordinates of vertex A is (-2,6).