Math

What is the distance between the points (4,-6) and (-1,5)

Distance formula: d=square root (x-x)^2+(y-y)^2 D=square root (4+1)^2+(-6-5)^2. D=square root 25+121 D=square root 146

Circle in the Standard x,y coordinate plane had center at (9,-9) and contains the point (9,0). Write an equation for the circle

Equation: (x-h)^2+(y-k)^2=r^2. The answer (x-9)^2+(y+9)=9^2

Describe the effect on triangle ABC of the transformation represented by [.5 0] [0 .5]

Get smaller

What is the slope of any line parallel to the line 6x-9y=12

M=2/3. -9y=6x+12 y=6/9x-12/9 = y=2/3x-4/3

The midpoint of a segment has coordinates (-5,2). The coordinates of one endpoint of the segment are (3,10). What are the coordinates of the other endpoint.

Midpoint equation: m=(x+x/2,y+y/2) (-5,2)=(x+3/2,y+10/2); -5=x+3/2. -10=x+3. -13=x. 2=y+10/2. -10=x+3. 4=y+10. -6=y

Size transformation of magnitude 2 centered at the origin

Multiple both the x and y by 2

Consider triangle A'B'C', the size transformation of magnitude 2 centered at the origin of triangle ABC that you sketched in Part d. Explain how to find the area of triangle A'B'C' from the area triangle ABC without computing the lengths of any sides of triangle A'B'C

Multiply by 4

What value of k will make the line kx+6y=10 perpendicular to the line y=-2/3x+4

Perpendicular: a/b and b/a. Y=-k/6x+10/6 M=3/2 -k/6=3/2 -2k=18 K=9

Counterclockwise rotation 270 centered at the origin

Y,-x

Triangle ABC is sketched bélow. triangle ABCa right triangle? A(0,0) B(3,3) C(2,4)

Yes

the point x and y is rotated 180. What matrix multiplication will give you the coordinates of the image point.

[1 0]. (X,Y)= (-x,-y). [-1 0] [x] = [-x] [0 1]. [0 -1] [y] [-y]

Find the are of triangle ABC

1/2 (3 square root 2) (square root 2) 3

What is the coordinates rule for a reflection across the line y=x

(X,Y)=(Y,X)