Answer:
y-3 = -7/8(x+1)
Step-by-step explanation:
The slope of a line given two points is given by
m = (y2-y1)/(x2-x1)
= (3 - -4)/(-1 -7)
= (3+4) / (-1-7)
= 7/ -8
= -7/8
The point slope form of a line is
y-y1 = m(x-x1)
y - 3 = -7/8( x - -1)
y-3 = -7/8(x+1)
Answer:
an = 4/3n - 13/3.
Step-by-step explanation:
The first term is a1,
a24 = a1 + 23d
83/3 = a1 + 4/3* 23
a1 = 83/3 - 92/3
a1 = -9/3 = -3.
So the nth term an = -3 + 4/3(n - 1)
an = -3 + 4/3 n - 4/3
an = 4/3n - 13/3
Answer:
Option A shows the image of RST after the rotation
Step-by-step explanation:
Coordinates of S=(1,3)
Coordinates of R = (-2,1)
Coordinates of T = (-1,7)
We are given that after rotation(x,y)→(y,-x)
So, The new coordinates after rotation will be :
Coordinates of S'=(3,-1)
Coordinates of R'= (1,2)
Coordinates of T'= (7,1)
These are the coordinates of triangle of Option A
So, Option A is true .
Hence Option A shows the image of RST after the rotation
Factors of 30: 1, 2, 3, 5, 6, 10, 15, 30.
Factors of 70: 1, 2, 5, 7, 10, 14, 35, 70
factorization of 45 is 5 x 3 x 3, or 5 x 3^2.