Answer:

Step-by-step explanation:
To find the slope of the equation use
.
So,
=
. Now we can use our slope and any of the two points to write in point-slope form, which is
. Using the point (7,-6), the formula will give
.
To check, you can plug in this equation and the points into a calculator to graph. The line passes through both points.
Answer:
Height of tree= 13.8m
Step-by-step explanation:
When finding the value of a in your working, I suggest to leave the answer to 5 significant figures so that your final answer is more accurate. The value of a should be 26.048m to 5 s.f.
Then multiplying 26.048 with sin 32° would give you 13.8m too when rounded off to 3 significant figures :)
I have attached my working too.
Answer:
acute triangle
Step-by-step explanation:
We have 3 angles that are not equal to each other
They are all smaller than 90 degrees which means they are acute angles
3a + 6b = 45
2a - 2b = -12....multiply by 3
----------------
3a + 6b = 45
6a - 6b = - 36 ...(result of multiplying by 3)
---------------add
9a = 9
a = 1
3a + 6b = 45
3(1) + 6b = 45
3 + 6b = 45
6b = 45 - 3
6b = 42
b = 7
solution is : (1,7)