Answer:
C
Step-by-step explanation:
First, factor the original expression:
As we can see, D is the same as above. Eliminate D.
Go through each of the answer choices.
A:
This is equivalent to what we factored. Eliminate A.
B:
This is again equivalent to what we factored. Eliminate B.
C:
This cannot be simplified and it is not equivalent to what we have previously. C is not the equivalent expression.
Answer:
PLZ HELP
Step-by-step explanation:
Circle A is located at (6, 5) and has a radius of 4 units. What is the equation of a line that is tangent to circle A from point C (2, 8)?
x = 2
y = −0.75x + 9.5
y = 1.33x + 1.66
x = 8
The minimum distance will be along a perpendicular line to the river that passes through the point (7,5)
4x+3y=12
3y=-4x+12
y=-4x/3+12/3
So a line perpendicular to the bank will be:
y=3x/4+b, and we need it to pass through (7,5) so
5=3(7)/4+b
5=21/4+b
20/4-21/4=b
-1/4=b so the perpendicular line is:
y=3x/4-1/4
So now we want to know the point where this perpendicular line meets with the river bank. When it does y=y so we can say:
(3x-1)/4=(-4x+12)/3 cross multiply
3(3x-1)=4(-4x+12)
9x-3=-16x+48
25x=51
x=51/25
x=2.04
y=(3x-1)/4
y=(3*2.04-1)/4
y=1.28
So now that we know the point on the river that is closest to Avery we can calculate his distance from that point...
d^2=(x2-x1)^2+(y2-y1)^2
d^2=(7-2.04)^2+(5-1.28)^2
d^2=38.44
d=√38.44
d=6.2 units
Since he can run at 10 uph...
t=d/v
t=6.2/10
t=0.62 hours (37 min 12 sec)
So it will take him 0.62 hours or 37 minutes and 12 seconds for him to reach the river.
Option C is your answer.
1 3/5 is the same as 8/5
3(8/5) = 24/5 = 4 and 4/5
