Posted by Kelly on Sunday, May 19, 2013 at 12:10am.
I need help with two math problems.
1. A triangle has vertices (1, 4), (1, 1), and (3, 1). The triangle is dilated by a scale factor of 2, then translated 5 units up, and then rotated 90 degrees counterclockwise about the origin. What are the vertices of the image of the triangle?
2. Use matrices to solve the system.
2x+3y=4
5x+8y=11
I appreciate the help!

Algebra  MathMate, Sunday, May 19, 2013 at 8:05am
1.
The transformations are:
e(O,2) : dilation about origin of 2 units
t(0,5) : translation 5 units up
r(y,x) : rotation counterclockwise 90°
So
(x,y)> (2x,2y) > (2x, 2y+5) > (2y+5, 2x)
So combining it all:
(x,y) > (2y+5, 2x)
2.
Using Cramer's rule:
Δ=8*23*5=1
x=(4*811*3)/Δ=1
y=(2*115*4)/Δ=2
Check:
2(1)+3*2=4
5(1)+8*2=11
ok.

Algebra  Melania, Sunday, May 19, 2013 at 11:17am
I'm still confused on the first one. Thank you. I appreciate it.

Algebra  Asaeli atoa, Tuesday, July 12, 2016 at 2:50pm
I need help
Answer This Question
Related Questions
 Algebra  I'm stuck!! Can someone please help me with this problem?? A triangle ...
 Matrices  A triangle has vertices (1, 4), (1, 1), and (−3, 1). The ...
 geometry  I realy need help please!!!! 1Describe the translation in words: (x...
 math  A triangle has vertices with coordinates (2, 0), (3, 1), and (2, 5). ...
 math  A triangle has vertices with coordinates (2, 0), (3, 1), and (2, 5). ...
 MATH  A triangle with the vertices A(–3, 4), B(3, 1), and C(–1, –5) is dilated ...
 Math  a triangle has vertices at S(1,1), T(2, 3) and U(4, 0). the triangle is ...
 Math  A triangle has vertices at S(1, 1), T(2, 3) and U(4, 0). The triangle is...
 8th Grade PreAlgebra  Triangle PQR is transformed to triangle P'Q'R'. Triangle...
 math  Triangle XYZ has vertices X(5,3), and Z(7,6). Find the coordinates of ...
More Related Questions