Answer:
It's better to buy the bulk pack
Step-by-step explanation:
60 x 1.65 = $99
99 > 76
Givens
Slower plane
r = r
t = 2.5 hours
d = d
Faster Plane
r_faster = 1.5 * r
t = 2.5 hours
d1 = d + 127.5
The time is the same for both
t = d/r
d1/r1 = d/r
(d+ 127.5)/1.5r = d/r Multiply each side by r
(d + 127.5)/1.5 = d Multiply both sides by 1.5
d + 127.5 = 1.5d Subtract d from both sides.
127.5 = 1.5d - d
127.5 = 0.5d Divide by 0.5
127.5 / 0.5 = d
255 = d
Now you can go back and figure out the rates.
First find d1
d1 = d + 127.5
d1 = 255 + 127.5
d1 = 382.5
<em><u>Rate of the slower plane</u></em>
d = 255
t = 2.5 hours
r = d/t
r = 255/2.5
r = 102 miles per hour.
<em><u>Faster plane</u></em>
d1 = 382.5 miles
t = 2.5 hours
r1 = d/t
r1 = 382.5/2.5 = 153 miles per hour.
Sketch a graph so you can find the vertex and determine if the parabola is horizontal or vertical. When i graph (-2,4) and then y=6, I find the middle is (-2,5) so that will be the vertex. The distance to the vertex is -1 so 4p=-4.
My formula is (x-h)^2=4p(y-k), now just plug in numbers. You should end up with (x+2)^2=-4(y-5).
Some instructors want you to write (y-k)=1/(4p)(x-h)^2 which is the same thing, so check to see which one you should be using.
Answer:
Neither
Step-by-step explanation:
The slopes are not opposite and they are not equal either
line up 2x+3y=42 and -3x +2y=16
2x+3y=42=-3x+2y=16
get each term on one side and isolate.
If this is not possible, you have your answer. Another way to do this is graphing it and seeing if the two lines intersect, and if they do, if they make a right angle
