Answer:
y = (3/4)x
Step-by-step explanation:
1) Find the slope of the line. As we go from ( -8,-6) to (12,9), x increases by 20 and y increases by 15. Thus, the slope, m, is m = rise / run = 15/20 = 3/4
2) Recognize that the y-intercept is zero (0) because this is direct variation; the line goes thru the origin.
3) write the equation of the line: y = mx + b becomes y = (3/4)x
Answer:
Step-by-step explanation:
The distance (d) between two points in 3 dimensions is ...
d = √((x2 -x1)² +(y2 -y1)² +(z2 -z1)²)
Then the distance between (a, -b, -4) and (0, 0, 0) is ...
d = √((a -0)² +(-b -0)² +(-4 -0)²)
= √(a² +b² +16)
Answer:
The corresponding element in the range when 5 is an element in the domain is 
Step-by-step explanation:
Given that the 5 is an element in the domain of f(x)
The function f is defined by 
To find the corresponding element in the range:
That is put x=5 in the given function f(x)
Therfore f(x) becomes
Therefore corresponding element in the range when 5 is an element in the domain is
A line which rises to the right means the temperature is increasing with time . Dropping to the right means temperature is decreasing with time. A horizontal line means temperature stays the same for a period of time.
Choices C and D are correct
<span>So, what you need to take into consideration here is the order of operations. First, you have to multiply 3 by 6 and then do the rest of the question in the order it is written. So, here is how to calculate this: 3 - 3x6 +2 = 3 - 18 + 2 = -15 + 2 = -13. The correct answer is -13.Hope this helps. Let me know if you need additional help!</span><span />
