Answer:
Step-by-step explanation:
The formula for determining the distance between two points on a straight line is expressed as
Distance = √(x2 - x1)² + (y2 - y1)²
Where
x2 represents final value of x on the horizontal axis
x1 represents initial value of x on the horizontal axis.
y2 represents final value of y on the vertical axis.
y1 represents initial value of y on the vertical axis.
From the points given,
x2 = 0
x1 = 9
y2 = - 33
y1 = 7
Therefore,
Distance = √(0 - 9)² + (- 33 - 7)²
Distance = √(- 9² + (- 40)² = √(81 + 1600) = √1681
Distance = 41
The formula determining the midpoint of a line is expressed as
[(x1 + x2)/2 , (y1 + y2)/2]
[(9 + 0) , (7 - 33)]
= (9, - 26]
Answer:
Option B is correct.
The domain of the function h(x) is: 
Step-by-step explanation:
Domain states that the complete set of all the possible values of the independent variable where function is defined.
Given the function:

To find the excluded value in the domain of the function.
equate the denominator to 0 and solve for x.
i.e

⇒x = 0 and 
⇒x = 0 and 
or
x = 0 and 
So, the domain of the function h(x) is the set of all real number except x = 0 and 
Therefore, the domain of the function h(x) is:

Answer:
A. The answer is our unit prices when our profit is 0
Step-by-step explanation:
The zeros are the x-intercepts, when the curve passes through the x-axis.
I'm going to call our function P
P(x)=-0.5x^2+221x-224 is equal to 0 (our profit is equal to 0) when x (the unit price is such and such)
The answer is our unit prices when our profit is 0
Answer:
The answer is 43u – 33v
Step-by-step explanation:
5u – 8v + 9(2u – 3v) -4(2v – 5u)
5u – 8v + 18u – 27v – 8v + 20u
5u + 18u + 20u – 8v – 27v – 8v
43u – 33v
Thus, The answer is 43u – 33v
<u>-TheUnknownScientist 72</u>
Two consecutive negative integers are n and n+1. We are told that the product of these two integers is 600 so:
n(n+1)=600
n^2+n=600
n^2+n-600=0
n^2+25n-24n-600=0
n(n+25)-24(n+25)=0
(n-24)(n+25)=0, since we are told that n is negative...
n=-25
(...-25(-24)=600 so -25 is the value of the lesser integer)