What are the coordinates of the image of point l(4, 2) after a reflection over the line y = –1?
(4, –4)

(4, –2)

(–5, 2)

(3, 1)

  L'(4, -4)

Step-by-step explanation:

When you're given a midpoint, you can find the point equidistant on the other side of the midpoint by subtracting the relevant coordinate from double that of the midpoint.

Here, the line of reflection is the horizontal line y=-1, so you know only the y-coordinate will change. The reflected point will be ...

  (x, y) ⇒ (x, -2-y)

so the point of interest is ...

  L' = (4, -2-2) = (4, -4)

hello :

70y^8 + 30y^6 = 2 ( 35 y^8 + 15y^6)

the lenght is : 35 y^8

the width is : 15y^6

3

step-by-step explanation:

in standard form:

a= dictionaries

b= maps

you have to buy 3 dictionaries, so put a 3 next to the a (dictionaries) so that you can multiply them by each other.

a3+b= 60 (the amount of money you have)

we already know the cost of a=15 so replace a with $15

($15 x 3)+b=60

multiply 15 and 3 to get $45 and replace it with $45

45+b=60

and then replace b with 15 to get the total:

45+15=60

that means you have $15 left after buying 3 dictionaries.

15 divided by the cost of a map ($5) equals 3.

so you can buy 3 maps.

sorry if it was confusing!