Answer:
D
Step-by-step explanation:
Answer:
Company A: 
Company B: 
Step-by-step explanation:
The initial fee is the y-intercept, as that is the cost at x = 0, or the cost before any time has passed. Afterwards, the rate the cost increases is the slope.
Linear equation in slope-intercept form:
where m is the slope and b is the y-intercept.
Company A charges $50 up front and $40 per hour afterwards, so the equation would be:
Company B charges $25 up front and $50 per hour, so:
Answer:
2
Step-by-step explanation:
The slope of a line is rise/run.
First, you must choose any two points on the line.
Rise is how many spaces a line moves upward or downward from one point to another.
The run is how many spaces a line moves left or right from one point to another.
It is given that from point M to point N, the line moves up 4 spaces and runs to the right 2 spaces.
- 4 = rise
- 2 = run
- Slope = 4/2, which can be simplified to 2, because 4 divided by 2 is 2.
Answer:
36√3 + 144
Step-by-step explanation:
Given that,
base of the pyramid is an equilateral triangle with sides = 12
Formula to calculate total surface area of pyramid
<h3>
[Base Area] + 1/2 × Perimeter × [Slant Length]</h3>
Base Area
1/2 (height) (base)
1/2 (√12²-6²)(12)
6(6√3)
36√3
perimeter of base
sum of all sides = 12 + 12+ 12
= 36
slant height = √10²-6²
= 8
put all these values in the formula above
36√3 + 1/2(36)(8)
36√3 + 144
Total area for the pyramid with the equilateral base =
36√3 + 144
You use the Pitagora formula:
CD^2+BD^2= (6x-10)^2
CD^2+AD^2=16x^2
AD^2-BD^2=16x^2-(36x^2-120x+100)
0=-20x^2+120x-100
x^2-6x+5=0
x^2-x-5x+5=0
x(x-1)-5(x-1)=0
(x-1)(x-5)=0
x1=1 but if x=1 it means that BC=-4 which cannot be possible
x2=5 so x=5
The answer to your question is C. I hope that this is the answer that you were looking for and it has helped you.
