Answer:
r=3
Step-by-step explanation:
Simplify the expression
16-2r=3r+1
isolate r by adding 2r to both sides
16=5r+1
isolate the numbers by subtracting 1 from both sides
15=5r
divide both sides by 5 to completely isolate r
r=3
Write an equation in slope intercept form with a positive slope less than one and a y intercept between -10 and 10
Answer:
26,167 m
Step-by-step explanation:
Step 1: Find the other angle of the complementary set
90 - 17 = 73°
Step 2: Find the angle of elevation from the ship
180 - (73 + 90) = 17°
Step 3: Use tan∅ to find distance
tan17° = 8000/x
xtan17° = 8000
x = 8000/tan17°
x = 26166.8
Answer:
The required equation is:

Explanation:
Let us assume that the hole is at y = 0m, with x as the time.
From the question we have (-1s, 8m) as the vertex (here x being the time variable is supposed to be in seconds and y being the distance variable is supposed to be in meters)
At x = 1s, the ball gets to the hole, therefore we have point (1s, 0m)
We know that the vertex of the parabola y = ax² + bx + c is at

therefore we have:

We then have the following equations:



From the 3rd equation we have
1 X 2a = b.
Therefore we have:


We can simplify both equations and get:


The first equation now becomes:


With a, we can find the values of c and b.


Then the equation is:

The first one is 4n+7=15, the second one is 1/4(n-15), the third one is 1/4n-15, the fourth one is n/7=4, and the last one is n4+7=15