Answer:
4- 4Step-by-step explanation:
Answer:
see explanation
Step-by-step explanation:
given the endpoints of a line segment
(x₁, y₁ ) and (x₂, y₂ ) then the midpoint is
[
(x₁ + x₂), (y₁ + y₂) ]
For example
consider the endpoints (4, 2) and (6, - 4)
midpoint = [(4 + 6), (2 - 4)] = (5, - 1)
Answer:
The gardeners should buy 45 white hydrangeas and 104 pink hydrangeas.
Step-by-step explanation:
Let the gardeners at Middleton Place Gardens have to buy x numbers of white hydrangeas and y number of pink hydrangeas.
So, x + y = 41 {Given} ........... (1)
Again, for another flower bed they want to plant 108 hydrangeas, where the number of white ones is 2 times that of Middleton Place Gardens and the number of pink ones is 3 times that of Middleton Place Gardens.
So, 2x + 3y = 108 ........ (2)
Now, solving equations (1) and (2) we get,
3y - 2y = 108 - 82 = 26
⇒ y = 26
And from equation (1) we get,
x = 41 - 26 = 15.
So, the total number of white hydrangeas the gardeners have to buy is (x + 2x) = 3x = 3 × 15 = 45.
And the total number of pink hydrangeas the gardeners have to buy is (y + 3y) = 4y = 4 × 26 = 104. (Answer)
I would say about 8 feet and a half.
A = 2
b = 2
c = -4
"a" is greater than zero so the vertex is a minimum point and the graph is concave up.
The (x,y) point of the vertex is usually designated by the letters (h, k)
The "x" position (or "h") is calculated with this formula:
h = -b / 2a
h = -2 / 4
h = -1 / 2
"k" is calculated with this equation:
k = ah^2 + bh +c
k =(2*-1 / 2 * -1 / 2) + (2 * -1 / 2) + -4
k = (1 / 2) - 1 -4
k = -4.5
so the vertex is at point (-.5, -4.5)
Source:
http://www.1728.org/quadr3.htm
