Half of 1=1/2=0.5
plus 500
500+0.5=500.5
divide by 2
500.5/2=250.25
2 consecutive positive integers....x and x + 1
" the product " means multiply and " the sum " means add
x(x + 1) = x + (x + 1) + 1
x^2 + x = 2x + 2
x^2 - 2x + x - 2 = 0
x^2 - x - 2 = 0
(x + 1)(x - 2) = 0
x + 1 = 0
x = -1......not this one because it is negative
x - 2 = 0
x = 2
x + 1 = 2 + 1 = 3
so ur numbers are : 2 and 3 <==
Answer: 1. x = (y - 2)² + 8

3. y = 2(x +9)² + 7
<u>Step-by-step explanation:</u>
Notes: Vertex form is: y =a(x - h)² + k or x =a(y - k)² + h
- (h, k) is the vertex
- point of vertex is midpoint of focus and directrix:


- p is the distance from the vertex to the focus
1)

Now let's find the a-value:

Now, plug in a = 1 and (h, k) = (-8, 2) into the equation x =a(y - k)² + h
x = (y - 2)² + 8
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2)

Now let's find the a-value:

Now, plug in a = -1/2 and (h, k) = (1, 10) into the equation x =a(y - k)² + h

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3)

Now let's find the a-value:

Now, plug in a = 2 and (h, k) = (-9, 7) into the equation y =a(x - h)² + k
y = 2(x +9)² + 7
Answer:
11.4166667
Step-by-step explanation: