Answer:
P = (3, 3 2/7)
Step-by-step explanation:
The desired point P is the weighted average of the end point values. The weights are the numbers in the ratio of segment lengths. The smallest weight is used for the end point closest to the largest division.
P = (5N +2M)/(5+2) = (5(7, 7) +2(-7, -6))/7 = (35-14, 35-12)/7
. P = (21, 23)/7
P = (3, 3 2/7)
_____
The x-distance from M to N is 7-(-7) = 14 units. The x-distance from P to M must be 5/(5+2) = 5/7 of that, so is (5/7)14 = 10 units. So, the x-coordinate of P is ...
Mx +10 = Px
-7 +10 = 3 . . . . x-coordinate of P
The corresponding y-coordinate can be found from a graph or by a similar calculation.
My +5/7(Ny -My) = Py
Py = -6 +(5/7)(7-(-6)) = -6 +65/7 = -6 +9 2/7 = 3 2/7 . . . . y-coordinate of P
To find the value of x+y, we will first find the sum of all the interior angles of the hexagon.The sum of the interior angles in a hexagon is always equal to 720 degrees.
All the angles in the diagram are in terms of x or y except for angle t. However, we know that the corresponding exterior angle is 30 degrees. The sum of angle t and 30 is 360. We can solve this in an algebraic equation.
t+30=360
Subtract 30 from both sides
t = 330
Now, we can solve for the values of x+y. We can set this up in another algebraic equation.
x+x+x+2y+y+30=720
Combine like terms:
3x+3y+30 = 720
Subtract 30 from both sides:
3x+3y = 690
Divide both sides by 3:
x+y = 230
The sum of x and y is 230.
Answer:
I'm just going to assume inbetween 4 and 2 is a multiplication symbol. If it isn't, just comment under and I'll tell u the answer.
hope this is right :D
For this case we have the following system of equations:
We multiply the first equation by -4:
We have the following equivalent system of equations:
We add the equations:
We find the value of the variable "x":
Thus, the solution of the system is:
See the graphic in the attached image
ANswer:
See the graphic in the attached image
If I tablet has 500mg, then to find out how many mg 3 tablets have, you simply multiply 500 by 3.
Final answer is 1500 mg
