Step-by-step explanation:
13 + (-20) = 13 - 20 = -7
HOPE IT HELPS
1. Rotation by 180° (clockwise or anti-clockwise) about the origin has a rule:
(x,y)→(-x,-y).
Then
(-4,-10)→(4,10).
2. Translation 1 unit to the right has a rule:
(x,y)→(x+1,y).
Then
(4,10)→(5,10).
3. After rotation and translation the image of point (-4,-10) is point (5,10).
Answer: (5,10).
Answer:
The equation ls: y = -4x - 16
Step-by-step explanation:
Given the point (-6, 8)
Given the line y = .25x - 7
Use a fraction:
y = 1/4x - 7
The slope is 1/4 (or .25)
The slope of a perpendicular line is the negative inverse or -4.
Use the point slope form and substitute:
y - y1 = m(x - x1)
y - 8 = -4(x - (-6))
y - 8 = -4x - 24
y = -4x - 16
Proof:
f(-6) = -4(-6) - 16
= 24 - 16
= 8, giving (-6, 8)
4y+7x-3y+2x
(7x+2x)+(4y+-3y)
=9x+y
Answer:
Step-by-step explanation:
The number of miles that he ran last week is m.
His goal this week was to run one mile more than twice the miles he ran last week. This means that his goal this week is
m + 2m = 3m
If he tripled his goal, it means that the number of miles that he ran this week would be
3 × 3m = 9m
An expression in simplest form to show how many more miles he ran this week compared to last week would be
9m - m = 8m
