Answer:
y + 2 = 3/5(x - 10)
Step-by-step explanation:
I guess you mean that slope = 3/5 and a point is (10, -2)
y - y1 = m(x - x1) so its:-
y + 2 = 3/5(x - 10)
V=43πr3=43·π·
3<span>≈</span>33.51032 =33.51 is the answer
Answer:
a) -4
b) 1
c) 1
Step-by-step explanation:
a) The matrix A is given by:
to find the eigenvalues of the matrix you use the following:
where lambda are the eigenvalues and I is the identity matrix. By replacing you obtain:
and by taking the determinant:
and the roots of this polynomial is:
hence, the real eigenvalue of the matrix A is -4.
b) The multiplicity of the eigenvalue is 1.
c) The dimension of the eigenspace is 1 (because the multiplicity determines the dimension of the eigenspace)
Answer:
reflection over the line y = x
Step-by-step explanation:
A transformation is the movement of a point from its initial location to its new location. If a shape is transformed then all its points are also transformed. Types of transformations are rotation, translation, dilation and reflection.
If apoint A(x, y) is rotated 90 degrees clockwise around the origin then the new location is at A'(y, -x). Then if the point A'(y, -x) is reflected over the x axis the new location is A" (y, x)
If a point A(x , y) is reflected over y = x, the new coordinate is A'(y , x)
A transformation that corresponds to rotating a shape 90 degrees clockwise around the origin, then reflecting the result over the x-axis is a reflection over the line y = x