Answer:
p = (0.5 , 5)
Step-by-step explanation:
D(-6 ,4) E(7 ,6)
For the line FP to be a median, the point p must have the intermediate value at x and at y between points D and E
p = (Dx + Ex)/2 , (Dy + Ey)/2
p = (-6 + 7)/2 , (4 + 6)/2
p = 1/2 , 10/2
p = (0.5 , 5)
This is because for a medium to be the point p has to be right in the middle of the other 2 vertices
Answer:
16.97 ft
Step-by-step explanation:
According to the scenario, computation of the given data are as follows,
Side B = 21 ft
Side c = 27 ft
As we know, formula for right triangle is as follows,


So, by putting the value in the formula, we get,

= 729 - 441
= 288
a = 16.97 ft
Hence, the length of the side for the right triangle is 16.97ft.
Answer:
$37.
Step-by-step explanation:
Firstly, let's set the price of each pair of shoe to be x.
Since each pair of shoes costs the same, and there are three pairs, we can set the original price to be 3x.
Now, to apply the shipping charge, all we have to do is add 7.50 to 3x, getting 3x + 7.5.
Next, to apply a 6% tax, we can multiple the whole expression by (100% + 6%), getting (3x + 7.5)
106%.
Since the whole bill foots to a total of $126.81, we can set the final equation to be:






Hope this helped!
First expand the parentheses:-
96x + 18 - 6 + 8x + 25 = 0
104x = -18 + 6 - 25 = -37
x = -37 / 104 = -0.3558