Answer:
7 units
Step-by-step explanation:
d=√(x2-x1)² + (y2-y1)²
x1=-5
x2=-5
y1=1
y2=8
d=√(-5--5)² + (8-1)²
d=√0² + 7²
d=√49
d= 7 units
An integer is a number that comprises of natural numbers like 0,1,2,3,4... so on and negative whole numbers like -1,-2,-3 and so on.
Multiplication Rules:
1. Product of two positive integers is always POSITIVE.
Eg: 
2. Product of two negative integers is always POSITIVE.
Eg: 
3. Product of a negative integer and a positive integer is always NEGATIVE.
Eg: 
Quotient Rules:
1. Positive integer divided by a positive integer is always POSITIVE.
Eg: 
2. Positive integer divided by negative integer or negative integer divided by a positive integer is always NEGATIVE.
Eg: 
3. Negative integer divided by a negative integer is always POSITIVE.
Eg: 
The quadratic equation that best represents his model of the relationship between stock value and time is given by:

The graph is given at the end of the answer.
<h3>What is the equation of a parabola given it’s vertex?</h3>
The equation of a quadratic function, of vertex (h,k), is given by:

In which a is the leading coefficient.
In this problem, the maximum value was a share value of $18 after 10 days, hence the vertex is:
(h,k) = (10,18).
Thus:

Since the initial price was of $8 per share, we have that:




Hence the equation is:

At the end of the answer, the sketch of the graph is given.
More can be learned about quadratic equations at brainly.com/question/24737967
Answer:
x>2
Step-by-step explanation:
just divide 8 by both sides and you get x>2
Answer:
The initial number of bacteria in the culture was 1949
Step-by-step explanation:
The relative growth rate for a certain type of bacteria population is 78% per hour.
As we know the growth of bacteria is exponential function.

where,
P is population of bacteria after n hours.
P₀ is initial population.
r is rate of growth per hour
n is number of hours
A small culture has formed and in just 5 hours the count shows to be 34,820 bacteria in the culture.
P = 34820 , n = 5 , r = 0.78



Hence, The initial number of bacteria in the culture was 1949