A.) Parallel lines has equal slopes, hence slope of required equation = slope of y = 2x - 4 = 2
required equation is y - y1 = m(x - x1)
y - 7 = 2(x - 4)
y - 7 = 2x - 8
y = 2x - 8 + 7
y = 2x - 1
You can focus on the two sub-triangles ABC and ACD
We know that they are both right triangles, because we're given that AC and BD are perpendicular.
The sides AB and AD are the hypothenuses of these triangles, so we know their length through the pythagorean theorem:


But since we're given
, the expressions for AD and AB are actually the same expression. This proves that AD=AB, and thus that the triangle is isosceles.
Given:
.
Exponential regression model is

To find:
The exponential regression representing the population of Lazy Town as a function of time in years.
Solution:
Exponential regression model is
...(i)
We have,
.
Substituting
and
in (i), we get.

Therefore, the exponential regression representing the population of Lazy Town as a function of time in years, is
.
Answer:
Answer is in a photo.
Step-by-splanation:
Answer:
6849.4
Step-by-step explanation:
m(r)(r) mass and radius equals N