Answer:
54 units
Step-by-step explanation:
multiply 6 x 18 = 108 and divide by 2 to get 54. The equation for the area of a triangle is base x height divided by 2.
Answer:

Step-by-step explanation:

Use the slope-intercept formula:

m is the slope and b is the y-intercept. Use the slope formula first:

Rise over run is the change in the y-axis over the change in the x-axis. Plug in the coordinates:


Simplify parentheses (two negatives makes a positive):

Simplify:

The slope is
. Insert into the equation:

Now, to find the y-intercept, take one of the points and substitute for the x and y values of the equation:

Solve for b, the y-intercept. Simplify parentheses:


Add
to both sides:

Simplify:

The y-intercept is
. Insert this into the equation:

Finito.
<span>Answer:
Its too long to write here, so I will just state what I did.
I let P=(2ap,ap^2) and Q=(2aq,aq^2)
But x-coordinates of P and Q differ by (2a)
So P=(2ap,ap^2) BUT Q=(2ap - 2a, aq^2)
So Q=(2a(p-1), aq^2)
which means, 2aq = 2a(p-1)
therefore, q=p-1
then I subbed that value of q in aq^2
so Q=(2a(p-1), a(p-1)^2)
and P=(2ap,ap^2)
Using these two values, I found the midpoint which was:
M=( a(2p-1), [a(2p^2 - 2p + 1)]/2 )
then x = a(2p-1)
rearranging to make p the subject
p= (x+a)/2a</span>
We have been given that the number of species of coastal dune plants in Australia decreases as the latitude, in °s, increases.
Further we know that there are 34 species at 11°s and 26 species at 44°s.
We can express the given information at two ordered pairs as shown below:

Let us find slope of the line through these points:

Therefore, we can write the equation of line in slope intercept form as:

Where b is the y intercept, and we can find its value using one of the two points.

Therefore, the required equation of the linear function is:
