(x+4)^2 / 9 - (y+3)^2 / 16 = 1
a^2 = 16 and b^2 = 9
a = +4 and -4
b = +3 and -3
Center is (-4, -3)
Vertices is (-4 + a, -3) and (-4 - a, -3)
Vertices is (-1, -3) and (-7, -3)
(4 3/8) + (5 1/3)
(4+5)(3/8 + 1/3)
9 + (17/24)
she ran 9 17/24 miles total
There are 5280 feet in a mile
There are 3600 seconds in an hour
to get 40 miles per hour
we multiply 40 by 5280 and divide by 3600
40 * 5280 / 3600
this gets us 58.666666...
but since they want us to round to the nearest whole number, our answer would be 59 feet per second
Hello!
This triangle is currently located in Quadrant 1. If it is rotated 90 degrees counter-clockwise around the origin, it will end up in Quadrant 2. The formula for this is seen below.
(x,y)⇒(-y,x)
We will do this to each point and get our final points.
(4,4)⇒(-4,4)
(4,1)⇒(-1,4)
(2,1)⇒(-1,2)
Therefore, the final points of our rotated triangle are (-4,4), (-1,4) and (-1,2).
I hope this helps!
