Answer:
slope = 2
Step-by-step explanation:
slope = (y2-y1)/(x2-x1)
= (0-4)/(0-2)
= -4/-2
= 2
Answer:
13 slices, 3/10 inches left.
Step-by-step explanation:
10 divided by 3/4 = 10 divided by .75
10 divided by .75 = 13.3
13 slices, .3 inches (3/10) leftover
Answer: The answer is cosine of that acute angle.
Step-by-step explanation: We are to find the ratio of the adjacent side of an acute angle to the hypotenuse.
In the attached figure, we draw a right-angled triangle ABC, where ∠ABC is a right angle, and ∠ACB is an acute angle.
Now, side adjacent to ∠ACB is BC, which is the base with respect to this particular angle, and AC is the hypotenuse.
Now, the ratio is given by

Thus, the ratio is cosine of the acute angle.
Answer with Explanation:
If a consistent system has an infinite number of solutions, it is dependent . When you graph the equations, both equations represent the same line.
If a system has no solution, it is said to be inconsistent . Represent parallel lines.
1) 8x + y + 4 = 0
y = -8x - 4
If we solve equation 8x + y + 4 = 0 for y, we get
y = -8x -4
So, both equations are same. That means both lines are same. So infinite many solutions.
System is consistent
2) Both line slope are same and parallel to each other.
So, no solution
System is inconsistent.
3) Both equation represent the same line. So, infinite many solution.
System is consistent.
4) Both lines are intersect at a point.
Intersection point is (7,0).
5) Both lines are parallel. So, no solution.
System is inconsistent.
$70 for 5 hours = 70/5 for 1 hour.
70 / 5 = 14
That means $14 for 1 hour.
To find how much for 12 hours, multiply the price of 1 by 12 to get the price of 12 hours.
1 hour = $14
12 hours = 14 * 12
14 * 12 = 168.
That means the price of working for 12 hours is $168.
Hope this helped☺☺