In order to fully understand the problem, it is best to sketch it. Sketching the system, we will see that the system forms a triangle where the angle of elevation is 36 degrees. We are asked to find the hypotenuse. We can use a trigonometric function. It should be noted that one of the sides should also be given in order to calculate the hypotenuse. Trigonometric functions that can be used are:
sin(theta) = opposite / hypotenuse
cos(theta) = adjacent / hypotenuse
Answer:
B
Step-by-step explanation:
Square both sides, and get s^2 = k3/p
next multiply both sides by p and get (s^2)(p)=k3
Therefore k3 equals s^2 times p
Yes it is a function because none of the x-values belong to 2 different y-values. The domain is -4, -3, -2, 0, 2, 3. The range is -3, -1, 0, 2, 3. The value of y when x=2 is -3 because when the x-value was 2 the y-value the point was on equaled -3.
8/4 = 2 caps per ball of wool
so 6/2 = 3 balls of wool are needed.
4/8 = x/6
8x/24
x = 24/8 = 3
Answer:
See explanations below
Step-by-step explanation:
Using the coordinate points in the table (0, 4) and (2, 9)
Slope m = y2-y1/x2-x1
m = 9-4/2-0
m = 5/2
slope = 5/2
Get the y-intercept
Substitute m = 5/2 and (0,4) into y = mx+c
4 = 5/2(0) + c
4 = 0+c
c = 4
y-intercept is 4
Get the equation
Recall that y = mx+c
y = 5/2x + 4
Using another 2 points (2,9) and (4, 14)
Slope = 14-9/4-2
Slope = 5/2
Since the slope is the same for the coordinates, hence the the equation is correct
