that is right correct answer
Answer:
(20,-4)
Step-by-step explanation:
We are given;
One end point as (2,5)
Point of division as (10,1)
The ratio of division as 4:5
We are required to calculate the other endpoint.
Assuming the other endpoint is (x,y)
Using the ratio theorem
If the unknown endpoint is the last point on the line segment;
Then;
=
+![\frac{5}{9}\left[\begin{array}{ccc}2\\5\end{array}\right]](https://tex.z-dn.net/?f=%5Cfrac%7B5%7D%7B9%7D%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D2%5C%5C5%5Cend%7Barray%7D%5Cright%5D)
Therefore; solving the equation;

solving for x
x = 20
Also

solving for y
y= -4
Therefore,
the coordinates of the end point are (20,-4)
Answer: 80 minutes
Step-by-step explanation:
Hi, to answer this question we have to write an equation for each tank:
An empty 1200 gallon tank is filled with water at a rate of 6 gallons of water per minute.
So, the amount of water of the tank is equal to the filling rate, 6 liters per minute (6m)
- Tank 1 =0 (empty )+ 6m =6m
The second 1200 gallon tank full of water is being drained at a rate of 9 gallons per minute.
So, the amount of water in the tank is equal to the amount of water already in the tank (1200 g), minus the draining rate (9m)
Since both tanks will have the same amount of water:
6m = 1200-9m
Solving for m (minutes):
6m+9m= 1200
15m = 1200
m= 1200/15
m= 80 minutes
Feel free to ask for more if needed or if you did not understand something.
Answer:

Step-by-step explanation:
We know that a triangle has 3 sides, A triangle's interior angles add up to 180 degrees.
Now, let's write this as an equation:

The missing angle is 180° minus the sum of the other two angles.

Subtract the numbers:


<u>________________________________</u>
Answer:
The answer is 4th point
Step-by-step explanation:
x² should not equals to a negative number :
e.g
x² = 4
x = √4
= 2
x² = -4
x = √-4 (undefined)(rejected)