Find the greiple ofR(x) =( x ^3+10x^2 +32x+32)÷(X^2 + 2x-15)
1 answer:
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Distance formula between 2 points (x1,y1) and (x2,y2)
D=
D=29 and one point is (-5,5) and the other is (k,0)
sub
29=
29=
square both sides
841=
841=
minus 25 both sides
816=
square root both sides don't forget positive and negative roots
+/-4√51=-5-k
add 5 to both sides
5+/-4√51=-k
times -1 both sides
-5+/-4√51=k
the possible values for k are
k=-5+4√51 or k=-5-4√51
D=
D=29 and one point is (-5,5) and the other is (k,0)
sub
29=
29=
square both sides
841=
841=
minus 25 both sides
816=
square root both sides don't forget positive and negative roots
+/-4√51=-5-k
add 5 to both sides
5+/-4√51=-k
times -1 both sides
-5+/-4√51=k
the possible values for k are
k=-5+4√51 or k=-5-4√51
Answer:
The length of the ladder is 7.21 feet
Step-by-step explanation:
Let
y = Height of the wall
x = Distance between the wall and the ladder (bottom)
L = Length of the ladder
So, the given parameters are:
When
The ladder, the wall and the ground forms a right-angled triangle where the hypotenuse is the length of the ladder; So:
Differentiate with respect to time
The length of the ladder does not change with time. So:
Rewrite as:
Divide both sides by 2
Recall that:
and
So:
Substitute and
in: