Cosine rule
Cosx=(11 ²+8²-(15²))/2(11)(8)
Cosx=(121+64-225)/176
Cosx=-40/176
Cosx=-5/22
X=cos-1 -5/22
X=103.1
Answer is 14.14
Reason
Using Pythagorean theory
a^2 + b^2 = c^2
The two legs are a and b, the longest diagonal opposite the right angle is c
10^2 + 10^2 = c^2
200 = c^2
Take square root of both sides
14.14 = c
To find the slope, we must use the formula stated below.
Slope = Change in Y / Change in X = (Y1 - Y2) / (X1 - X2)
Since our coordinates are given as (X, Y), we must pick a coordinate to be #1, and the other coordinate will be #2.
I'll use the first coordinate as our #1.
(3 - 6) / (2 - 7) = (-3) / (-5) = 3/5 which is our answer
by the double angle identity for sine. Move everything to one side and factor out the cosine term.
Now the zero product property tells us that there are two cases where this is true,
In the first equation, cosine becomes zero whenever its argument is an odd integer multiple of
, so
where
![n[/tex ]is any integer.\\Meanwhile,\\[tex]10\sin x-3=0\implies\sin x=\dfrac3{10}](https://tex.z-dn.net/?f=n%5B%2Ftex%20%5Dis%20any%20integer.%5C%5CMeanwhile%2C%5C%5C%5Btex%5D10%5Csin%20x-3%3D0%5Cimplies%5Csin%20x%3D%5Cdfrac3%7B10%7D)
which occurs twice in the interval
for
and
. More generally, if you think of
as a point on the unit circle, this occurs whenever
also completes a full revolution about the origin. This means for any integer
, the general solution in this case would be
and
.
Using the midpoint formula, the coordinates of endpoint H are (4, -6).
<h3>The Midpoint Formula</h3>
The midpoint formula is given as: 
<em>Where</em>,
= coordinates of the midpoint
= coordinates of the first point
= coordinates of the second point
Given the following:
= M( 6,-4)
= G(8,-2)
= H(?, ?)
Plug in the values into the midpoint formula
Solve for the x-coordinate and y-coordinate separately
Therefore, using the midpoint formula, the coordinates of endpoint H are (4, -6).
Learn more about midpoint formula on:
brainly.com/question/13115533
