Answer:
(x, y ) → (x + 6, y + 12 )
Step-by-step explanation:
We require to determine the horizontal and vertical shift to go from one of the points on the line to the corresponding point on the image
Consider point V with x- coordinate - 8 and y- coordinate - 2
The corresponding point is V'
with x- coordinate - 2 and y- coordinate 10
Thus V → V' is 6 units right in the horizontal direction and 12 units up in the vertical direction.
These are the same shifts for W → W'
Thus the translation rule is
(x, y ) → (x + 6, y + 12 )
Answer:
900
Step-by-step explanation:
We assume that your 4-digit number must be in the range 1000 to 9999. Clearly, any number ending in zero will meet your requirement:
1000/100 = 10
3890/389 = 10
However, the requirement cannot be met when the 1s digit is other than zero.
__
For some 3-digit number N and some 1s digit x, the 4-digit number will be
4-digit number: 10N+x
Dividing this by N will give ...
(10N+x)/N = 10 remainder x
N will only be a factor of 10N+x when x=0.
So, there are 900 4-digit numbers that meet your requirement. They range from 1000 to 9990.
Answer:
B
Step-by-step explanation:
to change a mixed number into an improper fraction
a
=
, then
9 
= 
= 
= 
Answer:
Part a) The slope is
Part b) The equation in point slope form is
Part c) The equation in slope-intercept form is 
Step-by-step explanation:
we have the points (3,4) and (-3,6)
Part a) What is the slope of the line?
The formula to calculate the slope between two points is equal to
substitute the given points
Part b) Write the equation of the line in point-slope form

we have

substitute
---> equation in point slope form
Part c) Write the equation of the line in slope-intercept form

we have

Isolate the variable y
distribute right side

Adds 4 both sides

---> equation in slope intercept form