Answer:
y2= 2x-4
y3=6x-1
y4= x-1
y5=2x
Step-by-step explanation:
for y=2x-1
1) for a vertical translation down of 3 units
y2= y-3 =(2x-1)-3= 2x-4
y2= 2x-4
2) for a slope increased by 4
y3= y+ 4x = 2x-1 +4x = 6x-1
y3=6x-1
3) for sloped divided in half. slope of y : m=2 → slope of y4=2/2 =1
y4= x-1
4) shifted up (vertical translation) of 1 unit
y5= y+1 = 2x-1+1=2x
y5=2x
Answer:
(D)The midpoint of both diagonals is (4 and one-half, 5 and one-half), the slope of RP is 7, and the slope of SQ is Negative one-sevenths.
Step-by-step explanation:
- Point P is at (4, 2),
- Point Q is at (8, 5),
- Point R is at (5, 9), and
- Point S is at (1, 6)
Midpoint of SQ 
Midpoint of PR 
Now, we have established that the midpoints (point of bisection) are at the same point.
Two lines are perpendicular if the slope of one is the negative reciprocal of the other.
In option D
- Slope of SQ
Therefore, lines RP and SQ are perpendicular.
Option D is the correct option.
The line of the equation perpendicular to y=5 and cuts through (-5,-7) will be given by
m(x-x1)=y-y1
where m=slope.
from y=0x+5, the slope of the perpendicular line m=0,
thus the equation will be:
0(x--5)=y--7
0=y+7
y=-7
The equation is y=-7
Answer:
The fraction jumped into boiling water because it wanted to be reduced.
Step-by-step explanation:
This is a maths riddle about fractions. We often see fractions that we might feel could be reduced. So, if these kinds of fractions jumps into a boiling water, they get reduced. The riddle is rather funny though.
