Answer:
y = 4x+48
Step-by-step explanation:
Slope intercept form is y=mx+b. We already know the value for m(4), so we can plug in the x and y coordinates for x and y in the equation. This gives us 12=4(-9)+b. Solve for b to get 48
Answer:
- D
- B
Step-by-step explanation:
You may find this easier if you distribute the minus sign first.
<h3>1)</h3>
2a^2 -3ab +5b^2 -a^2 +2ab -3b^2
= (2 -1)a^2 +(-3+2)ab +(5 -3)b^2
= a^2 -ab +2b^2 . . . . . matches choice D
__
<h3>2)</h3>
6x -3 -2x +2
= (6 -2)x +(-3 +2)
= 4x -1 . . . . . matches choice B
Please find the attached diagram which best represents the information given in the question.
From the diagram it is clear that after taking the turn and having a heading of 
, the plane makes an angle 
as shown in the diagram. This, obviously, makes 
by making use of the fact that 
and 
are supplementary.
Now, using the Cosine Formula as shown in the question example we can find AC to be:
Thus, 
miles
Now, using the Sine Formula for a triangle, we can find the angle 
as:
Thus, 
Thus, all that we have to do to find the return heading of the plane is to add 
to 
and then we will add 
to it.
Thus, the plane's return heading is:
Part 1
We know that 
and AC=314.6 miles.
Therefore, we get:
Answer:
The coordinates of the midpoint are (5/2 , 2) ....
Step-by-step explanation:
The midpoint is the average values of the endpoint coordinates
We have to find the midpoint of (x1,y1) (x2,y2) = (3, -5) , (2, 9)
We have:
(3, -5) , (2, 9)
To find the coordinates of the mid point we will apply:
M(x1+x2/2 , y1+y2/2)
Now substitute the values:
M(3+2/2, -5+9/2)
M(5/2 , 4/2)
M(5/2 , 2)
Thus the coordinates of the midpoint are (5/2 , 2) ....
