Consider the parametric equations x = 4cos(t) – 3 and y = 5sin(t) + 2. What is the rectangular form? StartFraction (x minus 3) squared Over 4 EndFraction + StartFraction (y + 2) squared Over 5 EndFraction = 1 StartFraction (x + 3) squared Over 4 EndFraction + StartFraction (y minus 2) squared Over 5 EndFraction = 1 StartFraction (x + 3) squared Over 16 EndFraction + StartFraction (y minus 2) squared Over 25 EndFraction = 1 StartFraction (x minus 3) squared Over 16 EndFraction + StartFraction (y + 2) squared Over 25 EndFraction = 1

for finding the midpoint of any given 2 pair of points simply add the respective x coordinates with other x coordinate and the y coordinate with other y coordinate and divide them by 2

in your question it will be :

(3+1)/2 for the x coordinate of mid point i.e 2

[8+(-4)]/2 for the y coordinate of midpoint i.e 2

so coordinates of mid point of points (3,8) and (1,-4) will be (2,2)

i can you with this sweetie!

step-by-step explanation:

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!