V = sqrt 64h
H = 76
V = sqrt * 64(76)
Answer: V = 69.74 ft/sec
Hope that helps!!!!
If two lines are perpendicular, then the product of their slopes is -1:

From the problem, we identify:

Then, using the equation (1), we calculate the slope of the green line:

Answer: Option D
Answer: (-3, -8) (0, 1) (-3, -8)
Step-by-step explanation:
So in the equation, y=3x+1, 1 is the y intercept (which is where the line goes through the y intercept, so graph a point at 0,1 (that also fills out the middle of the chart. 3 is the slope of the equation so then you have to use the slope and you will find 2, 7 as a point and -3, -8 as a point.
Hope that helps! :)
Answer:
20 cm
Step-by-step explanation:
An hexagon has 6 equal sides therefore its perimeter is obtained by summing up all the values of the 6 sides
For the bigger hexagon, the perimeter = 32 + 32 + 32 +32 + 32 + 32
or 6 *32
= 192 cm
Next, we'll calculate the perimeter of the smaller hexagon
Since their perimeters are in the ratio 8: 5
Let x represent the perimeter of the smaller hexagon
This gives;
8 : 5 = 192 : x
change to fraction
8/5 = 192 /x
cross multiply
8x = 192*5
8x = 960
Divide both sides by the coefficient if x which is 8
x = 120 cm
Since all sides of an hexagon are equal, we'll simple divide the value of the perimeter by the number of sides of the hexagon
120/6
20 cm
Therefore, the length of the corresponding smaller hexagon is 20 cm