Answer:
24°
Step-by-step explanation:
the total angle, made up from both a and 66°, is a mini-square, as you can see. this represents a right angle of 90°
thus, a and 66° combine to make 90°
a + 66° = 90°
subtract 66 from both sides to get a
a = 24°
It rotates and it’s dilation so it should be C
Answer:
a) d²y/dx² = ½ x + y − ½
b) Relative minimum
Step-by-step explanation:
a) Take the derivative with respect to x.
dy/dx = ½ x + y − 1
d²y/dx² = ½ + dy/dx
d²y/dx² = ½ + (½ x + y − 1)
d²y/dx² = ½ x + y − ½
b) At (0, 1), the first and second derivatives are:
dy/dx = ½ (0) + (1) − 1
dy/dx = 0
d²y/dx² = ½ (0) + (1) − ½
d²y/dx² = ½
The first derivative is 0, and the second derivative is positive (concave up). Therefore, the point is a relative minimum.
Answer: the charge would be the same after 5 miles
Step-by-step explanation:
Let x represent the distance at which both companies charge the same amount.
company A charges a flat fee of four dollars plus 2 dollars per mile. It means that the total charge for x miles would be
4 + 2x
Company B does not charge a flat fee but charges $2.80 per mile driven. It means that the total charge for x miles would be 2.8x.
For the charge to be the same, the number of miles would be
2.8x = 4 + 2x
2.8x - 2x = 4
0.8x = 4
x = 4/0.8
x = 5
Answer:
12
Step-by-step explanation:
