Answer:
D
Step-by-step explanation:
Current coordinate of R : ( 1,5 )
Applying translation with rule (x,y) --> (x+1 , y-1)
Coordinate after translation ( 1 , 5 ) ==> ( 1 + 1 , 5 - 1 ) ==> ( 2 , 4 )
applying dilation with scale factor of 3 , to apply dilation multiply x and y values by scale factor which is 3
Coordinate after dilation ( 2 , 4 ) ==> ( 2 × 3 , 4 × 3 ) ==> ( 6 , 12 )
The final coordinate is ( 6 , 12 )
If they are parallel they will have the same slope , m
So in y = mx + c, if there are two equations which both have the same m value they will be parallel.
If the lines are perpendicular they'll have slopes like this: 1/2 to -2/1 - where they flip and a negative gets added.
In the equations: 10x + 5y = -5 , and y = -2x + 6
We can rearrange 10x + 5y = -5 to be in the form y = mx + c
10x + 5y = -5
5y = -5 - 10x
y = -1 - 2x
y = -2x - 1
Since y = -2x - 1 and y = -2x + 6 both have the same slope of -2 they are parallel!
Answer:
5x - 43
Explanation:
Given the below expression;

To simplify the above, we'll go ahead and use the numbers outside the parentheses to multiply the ones inside to clear the parentheses as seen below;

So the answer is 5x - 43
Answer:
A. delivering substances to the cells of the body
If a bagel costs $0.80 any day, then the unit price
is $0.80 per bagel.
If the unit price of a bagel is $0.80 , then every bagel
you buy costs $0.80 .
Only one thing changes: The price of a dozen on Wednesday.
If you buy 1 dozen ... or any number of dozens ... on Wednesday,
then the unit price of the contents of that bag is
($6.00) / (1 dozen) = $6.00 per dozen
If you want to convert that to a
different unit of measure, then
you do it like this:
(6.00 $/dozen) x (1 dozen/12 bagels)
= (6.00 x 1 / 12) ($/bagel)
= 0.5 $/bagel
or $0.50 / bagel .