Answer:
x=4.0625 cm
Step-by-step explanation:
The Pythagorean theorem states that the square of the hypotenuse of a right triangle equals the sum of the squares of the two legs.
Not knowing which is the hypotenuse, lets assume that (x+5)cm is the hypotenuse:
(x+5)^2= 9^2+(x-3)^2
(x^2+10x+25)=81+(x^2-6x+9)
x^2+10x+25=81+x^2-6x+9
16x=65
x=4.0625
Checking:
(4.0625+5)^2=9^2+(4.0625-3)^2
82.1289=82.1289
9514 1404 393
Answer:
see the attachment for a graph
Step-by-step explanation:
With the given point and slope, the equation of the line can be written in point-slope form:
y -k = m(x -h) . . . . . line with slope m through point (h, k)
y -2 = 1/2(x +1) . . . . line with slope 1/2 through point (-1, 2)
__
Slope is the ratio of rise to run, so a slope of 1/2 means the line will rise 1 unit for each 2 units of run (to the right). If you're plotting this by hand, you can identify a second point that is 2 right and 1 up from the given point:
(-1 +2, 2 +1) = (1, 3).
You can draw your line through those two points.
Answer:
Option A is correct
and 
Step-by-step explanation:
Given the functions:


then;
combine them to create an arithmetic sequence i.e,

⇒
where n is the number of terms
To find the 31st term.
Substitute n =31 we have;

⇒
Therefore, we have an arithmetic sequence,
and 
You'd be walking north towards your house which lays on the west but since youre already at southwest all you need to do is walk north.