Answer:
(b) 68
Step-by-step explanation:
Distance between two points:
Suppose that we have two points, 
and 
. The distance between them is given by:
Diagonal:
Diagonals are a line between opposite points in a square.
In this question, it is between A(0,3) and B(5,0), and between (0,0) and (5,3). Both these diagonals have the same measure, and are the distance between these points. So
Then sum of the squares of its both diagonals is units
Both diagonals measure 
. Sum of squares is:
The correct answer is given by option b.
Let F(x) = x^2 + 2x -8
Adding 1 and - 1 at equation
F(x) = x^2 + 2x + 1 - 1 -8
Rewrinting the first 1 = 1^2
F(x) = x^2 + 2x + 1^2 - 1 - 8
Now look:
x^2 + 2x + 1^2 = ( x + 1)^2
Then,
F(x) = (x + 1)^2 -1 -8
F(x) = (x + 1)^2 -9
This is the answer !
If us to want.
(x + 1)^2 -9 = ( x+1)^2 - 3^2
= ( x+ 1 -3).(x +1 +3)
= ( x - 2).(x +4)
For this case we have that by definition, the equation of the line of the point-slope form is given by:
Where:
m: It's the slope
It is a point through which the line passes
According to the given statement we have:
Substituting we have:
Finally, the equation is:
Answer:
Given:
The function is
To find:
The range value if the domain value is 1.75.
Solution:
Domain is the set of input values and range is the set of output values.
Here, range value if the domain value is 1.75. It means the value of function f(x) at x=1.75.
Substitute x=1.75 in the given function.
Therefore, the required range value is 4.5.
Given:
Terri plans to charge a base fee of $10 plus $7 per hour for babysitting.
To find:
The function that could be used to represent her total charge for the babysitting service, y, as a function of the number of hours she babysits, x.
Solution:
Let y be the total charge for the babysitting service for x hours.
Base fee = $10
Additional fee for one hour = $7
Additional fee for x hour = $7x
Total fee = Base fee + Additional fee for x hours
Therefore, the equation of required function is .
