Answer:
option C
Step-by-step explanation:
Total number of items = 5
Number of items to choose = 2
Therefore, the number of combinations is

Answer:
slope = - 
Step-by-step explanation:
Differentiating implicitly with respect to x
2x + 2y
= 0
2y
= - 2x
= -
= - 
is the measure of the slope of the tangent
rearrange equation to find corresponding y-coordinate of x = - 2
y² = 16 - 4 = 12 = 2
⇒ y = ± 2
using x = - 2, y = - 2
, then
= -
= - 
X^2+35=180?
Subtract 35 on each side
x^2=145
Take the square root
x= -sqrt(145)
+sqrt 145...
I hope this helps!!
The number of solutions of the system of equations is 904 086
Answer: 26 minutes
Step-by-step explanation:
Assume that the total time spent in the morning which includes getting dressed, eating breakfast, making her bed, and driving to work is x.
Time getting dressed = ¹/₃x
Eating breakfast = 10 mins
Making bed = 5 mins
¹/₃x + 10 + 5 = 35 ½
¹/₃x + 15 = 35 ½
¹/₃x = 35 ½ - 15
¹/₃x = 20 ½
x = 20 ½ / ¹/₃
= 61.5 minutes
Total morning routine is is 61.5 mins
Time taken to drive to work is;
= 61.5 - 35 ½
= 26 minutes