Answer:
126
Step-by-step explanation:
Answer:
4 meters
Step-by-step explanation:
Given a quadratic equation in which the coefficient of 
is negative, the parabola opens up and has a maximum point. This maximum point occurs at the line of symmetry.
Since the divers height, y is modeled by the equation
Step 1: Determine the equation of symmetry
In the equation above, a=-1, b=2, c=3
Equation of symmetry, 
Step 2: Find the value of y at the point of symmetry
That is, we substitute x obtained above into the y and solve.
The maximum height of the diver is therefore 4 meters.
Answer:
-45/2
Step-by-step explanation:
67 1/2 * (-1/3)
67 1/2 = 135/2
So 135/2*1/3=45/2
45/2*-1=-45/2
We know that
[area of a regular hexagon]=6*[area of one <span>equilateral triangle]
</span>210.44=6*[area of one equilateral triangle]
[area of one equilateral triangle]=210.44/6-----> 35.07 cm²
[area of one equilateral triangle]=b*h/2
h=7.794 cm
b=2*area/h------> b=2*35.07/7.794------>b= 9 cm
the length side of a regular hexagon is 9 cm
<span>applying the Pythagorean theorem
</span>r²=h²+(b/2)²------>r²=7.794²+(4.5)²------> r²=81--------> r=9 cm
<span>this last step was not necessary because the radius is equal to the hexagon side------> (remember the equilateral triangles)
</span>
the answer is
the radius is 9 cm
Answer:
K (0,1)
L (-1,4)
M (-4,1)
N (-3,-2)
Step-by-step explanation:
When you rotate a figure 90 degrees counterclockwise about the origin, the points all change from (x,y) to (-y,x). Therefore the points would go from: (answers on right side)
K (1,0) ---> K (0,1)
L (4,1) ---> L (-1,4)
M (1,4) ---> M (-4,1)
N (-2,3) ---> N (-3,-2)
