Answer:
v = 72 km/h
Step-by-step explanation:
Given that,
The distance covered by the Patrick, d = 288 km
Time taken, t = 4 hours
We need to find the average speed of Patrick. We know that the average speed of an object is equal to the total distance covered divided by total time taken. Let it is v. So,

So, his average speed is equal to 72 km/h.
The height of an oak tree (which depends on the age of the tree) is 100
Answer:
f(x) is negative and g(x) is positive
Step-by-step explanation:
f(x) = 4-x
Rewriting
f(x) = -x+4
We recognize this as
y= mx+b or the representation of a line with slope -1 and y intercept 4
f(x) is linear
g(x) as we increase x by 1 we increase g(x) by 2
The slope is 2, and the y intercept is 1
y = 2x+1
Lets check a point
(2,5)
5 = 2(2)+1
5=5 so we are correct
f(x) is negative and g(x) is positive
Answer:
The correct answer is D.
Step-by-step explanation:
Given:
General equation of second degree
x² + y² + 14 x + 2 y + 14 = 0
We must transform given equation to the canonical form from which we will read requested data.
The canonical form of the circle equation is:
(x - p)² + (y - q)² = r²
Where p and q are the coordinates of the center of the circle and r are radius. (p,q) = (x,y)
x² + 2 · x ·7 + 7² - 7² + y² + 2 · y · 1 + 1 - 1 + 14 = (x+7)² + (y+1) - 49 - 1 + 14 = 0
(x + 7)² + (y + 1)² = 36
We see that p = - 7 , q = - 1 and r = 6
God with you!!!
The of is essentially the multiplication operator hence

Hope this helps.