Answer:
y = x^2 - 4
Step-by-step explanation:
The vertex of a parabola is exactly halfway between the focus and the directrix. If the focus is at (0, -6) and the directrix is the line y = -2, then we do this to locate the vertex: Draw a vertical line through (0, -6) also crossing the line y = -2. The y value halfway between y = -6 and y = -2 is y = -4, and the vertex is thus (0, -4).
Using the vertex method, write out the equation of this parabola, starting with the general form y - k = (x-h)^2, where (h, k) is the vertex. Here h = 0 and k = -4
We get: y + 4 = (x - 0)^2, or y + 4 = x^2, or y = x^2 - 4. As a check, let x = 0; y = -4, which is the y-coordinate of the vertex.
Answer:
f(1/a) = 1/a² + 2/a + 1
Step-by-step explanation:
Step 1: Define
f(x) = x² + 2x + 1
f(1/a) is x = 1/a
Step 2: Substitute and Evaluate
f(1/a) = (1/a)² + 2(1/a) + 1
f(1/a) = 1/a² + 2/a + 1
Answer:
$121.82
Step-by-step explanation:
Okay, this is kind of complex, so let's go step by step.
First, we want to find the area of the rectangular lawn - we can do this by multiplying the length and width. The length is 100 and the width is 45 so
m² is the area of the rectangle.
However, there are 3 ponds in which the grass seeds will not be going - so we need to find the area of all 3 of these circles and subtract it from 4500 (our rectangle area).
The area of a circle is represented by the formula 
The diameters are given here, which is double the radius, so to find the radius of each circle let's divide the diameters by 2.
First circle's radius: 
Second circle's radius: 
Third circle's radius: 
Now let's find the area of each circle.
<em>First Circle</em>: 
<em>Second Circle</em>: 
<em>Third Circle:</em> 
Adding all of these values gets us 412.125.
Now we can subtract from this from 4500 to get us 4087.875
If the grass seeds that cost £1.49 cover 50m² each, then we need
bags.
Each bag costs £1.49, so the total cost is 
Hope this helped!!
Answer:
Not true (False)
Step-by-step explanation:
p q p->q
T T T
T F F
F T T
F F T
The only time a conditional is false is when you have a true hypothesis and a false conclusion.
So your statement is not true.