Answer:
72 ft
Step-by-step explanation:
Here, we want to get the maximum height the ball will reach
the maximum height the ball will reach is equal to the y-coordinate of the vertex of the equation
So we need firstly, the vertex of the given quadratic equation
The vertex can be obtained by the use of plot of the graph
By doing this, we have it that the vertex is at the point (3,72)
Thus, we can conclude that the maximum height the ball can reach is 72 ft
Answer:
Point of the flower garden R ( 11, 44 )
Step-by-step explanation:
Let´s call P ( 3, 14 ) The center of the herb garden, and Q ( 7 , 29 ) the birdbath point
Differences in coordinates of these two points are:
x axis 7 - 3 = 4
y axis 29 - 14 = 15
Then the point Q ( x , y ) will be at: Q ( 11, 44)
x axis x = 11 because 7 + 4 = 11 means that the coordinate 7 is just halfway way between coordinates (x) 3 and 11 ( 4 above 3, and 4 below 11)
Reasoning the same way we conclude y = 44 in this case 29 is just halfway between coordinates (y) 14 and 44 ( 15 above 14 and 15 below 44)
We can probe getting distance d₁ between P and Q and d₂ distance between Q and R as:
d₁ = √ (7-3)² + ( 29-14)²
d₁ = √ 16 + 225
d₂ = √ (11 - 7)² + ( 44 - 29)²
d₂ = √ 16 + 225
First you convert kilograms to pounds,
1 kilogram = 2.205 pounds
next you times the number of pounds per kilogram by the number of kilograms given that need to be turned into pounds.
80 times 2.205 = 176.4
next you subtract to get the answer
176.4 - 135= 41.4
so Ms. Johnson weighs 41.4 pounds less than herr husband
Answer:
- m = (2-(-2))/(2-(-2)) = 4/4 = 1
- y +2 = 1(x +2)
Step-by-step explanation:
The point-slope form of the equation for a line with slope m through point (x1, y1) is ...
y -y1 = m(x -x1)
To find the slope of the line, find the ratio of the difference in y-values of the points to the difference in corresponding x-values. Here, the slope is ...
m = (2 -(-2))/(2 -(-2)) = 4/4 = 1 . . . work to compute slope
The problem statement tells you x1 = -2, y1 = -2. Putting the numbers in to the point-slope form gives ...
y -(-2) = 1(x -(-2))
y + 2 = x + 2 . . . equation form with m, (x1, y1) filled in
__
The answer at the top leaves the slope shown as 1. We don't know how much simplification you are expected to do. Obviously, this <em>could</em> be simplified to y=x, but then the use of (-2, -2) for the point would not be obvious.
3x - 12
3(3x/3 - 12/3)
3(x - 4)
The answer is: 3(x - 4).
