Answer:
0.407
Step-by-step explanation:
<u>0. 4 0 7</u>
2 0 /8. 1 4 0
−<u> 0</u>
8 1
<u>− 8 0 </u>
1 4
<u> − 0 </u>
1 4 0
−<u> 1 4 0</u>
0
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.
The score of Raven is 9 points
<em><u>Solution:</u></em>
Let the point scored by bangal be"x"
Score of Raven = 40 points
Given that,
The ravens scored 13 more than three times number points that the bangals scored in their last game
Score of raven = 13 + 3(score of bangal)
40 = 13 + 3x
Solve the above equation for x
3x = 40 - 13
3x = 27
x = 9
Thus the score of Raven is 9 points
y = mx + b
m = slope and b = y-intercept
We can arrange 6y = x - 12 in the form of y = mx + b
6y = x - 12
y = 1/6(x) - 2
Slope of y = 1/6(x) - 2 is 1/6. Taking the negative reciprocal of the slope we get the slope for the perpendicular line.
Negative reciprocal of 1/6 is -6.
The equation for the perpendicular line is
y = -6x + b
To find b we can plug in the x and y values of (4,-4) into it since it passes through those coordinates
-4 = -6(4) + b
b = -4 + 6(4)
b = -4 + 24
b = 20
So the equation for the perpendicular line is y = -6x + 20
