Answer:
The answer is
<h2>( 5 , - 3)</h2>
Step-by-step explanation:
The midpoint M of two endpoints of a line segment can be found by using the formula
<h3>

</h3>
where
(x1 , y1) and (x2 , y2) are the points
From the question the points are
(3, -1) and (7, -5)
The midpoint is

We have the final answer as
<h3>( 5 , - 3)</h3>
Hope this helps you
Answer:
$32
Step-by-step explanation:
A sum of money is divided in the ratio 2:3:7.
Let the share of each individual be represented by 2x,3x,7x respectively.
The largest share (7x) is given as $112.
![\[7x = 112\]](https://tex.z-dn.net/?f=%5C%5B7x%20%3D%20112%5C%5D)
![\[=>x = \frac{112}{7}\]](https://tex.z-dn.net/?f=%5C%5B%3D%3Ex%20%3D%20%5Cfrac%7B112%7D%7B7%7D%5C%5D)
![\[=>x = 16\]](https://tex.z-dn.net/?f=%5C%5B%3D%3Ex%20%3D%2016%5C%5D)
So the respective shares are ![\[2\times16,3\times16,7\times16\]](https://tex.z-dn.net/?f=%5C%5B2%5Ctimes16%2C3%5Ctimes16%2C7%5Ctimes16%5C%5D)
In other words, the shares are 32,48,112.
So the smallest share is $32
Answer:
$488
Step-by-step explanation:
16×20=320
8%×2100
0.08×2100
168
320+168=$ 488
We have been given that in triangle ABC angle A=45 angle B =40 and a=7. We are asked to find the equation that we can use to solve for 'f'.
We have two angles and opposite sides to these angles.
We will use Law of Sines to solve our given problem.
, where a, b and c are opposite sides corresponding to angles A, B, and C respectively.
The angle opposite to side b is 40 degrees and angle opposite to side a is 45 degrees.
Upon substituting these values in Law of Sines, we will get:

Therefore, our required equation would be
.
That would be 2000 decimated beacuse 1kilometere = 1000 decimeters