Complementary angles add to 90 degrees.
So your answer is B. Angles 1 and 2
Answer:
25 pounds of nuts and 5 pounds of cereal squares.
Step-by-step explanation:
Let amount of nuts be x and cereals squares be y pounds.
x + y = 30
7x + 4y = 30*6.5
7x + 4y = 195 Multiply the first equation by -4:
-4x - 4y = -120 Adding:
3x = 75
x = 25 pounds.
y = 30 - 25 = 5 pounds.
Given:
Initial point = (–5, 3)
Terminal point = (1, –6)
To find:
The set of parametric equations over the interval 0 ≤ t ≤ 1.
Solution:
The interval is 0 ≤ t ≤ 1, initial point is (–5, 3) and terminal point is (1, –6). It means,


Put t=1 in each parametric equation.
In option A,

In option B,

In option D,

Therefore, options A, B and D are incorrect.
In option C,


Put t=0 in x(t) and y(t).


Since, only in option C
, therefore, the correct option is C.
Answer:

Step-by-step explanation:
Let
x = the amount of time William has been digging
y = the amount he has left to dig
The hole has to be in 2 ft deep. This means when William starts, the hole was 0 feet deep and has left 2 ft to dig. Hence, y-intercept is 
He is able to dig at a rate of
ft per minute. Thus, the slope is
(negative because the depth left to dig is decreasing).
The slope-intercept form of the equation is
so in your case this equation is
