Answer:
The correct option is 1.
Step-by-step explanation:
Inconsistent system: If the given system has no solutions, then it is an inconsistent system.
Consistent and independent system: If the given system has only one solutions, then it is an consistent and independent system.
Consistent and dependent system: If the given system has many solutions, then it is an consistent and dependent system.
The given equations are
.... (1)
..... (2)
Add both equations.
Substitute this value in equation (1).
The system of equations has only one solution, i.e.,(3,5).
Therefore the given system is consistent and independent. Option 1 is correct.
Let
x---------> the length side of rectangle
y---------> the width side of rectangle
we know that
x=2y-----> equation 1
area=x*y-------> 28800=x*y------> equation 2
substitute 1 in 2
28800=[2y]*y-----> 28800=2y²-------> y²=14400------> y=120 m
x=2*y----> x=2*120------> x=240 m
the answer is
the length side of rectangle is 240 m
the width side of rectangle is 120 m
Answer:
Step-by-step explanation:
Yes I would be glad to help you
It is better to graph these points, to easily understand that the distance of the two points form the hypotenuse of the right triangle. We need to use the Pythagorean theorem to solve for the distance of the two points.
a² + b² = c² ; a = x value ; b = y value
1) (3,8) and (-9,-8)
a = 3 - (-9) = 3 + 9 = 12 ⇒ 12² = 144
b = 8 - (-8) = 8 + 8 = 16 ⇒ 16² = 256 ⇒⇒ 144 + 256 = 400 ; c = √400 = 20
2) (2,6) and (5,2)
a = 2 - 5 = 3 ⇒ 3² = 9
b = 6 - 2 = 4 ⇒ 4² = 16 ⇒⇒ 9 + 16 = 25 ; c = √25 = 5
3) (21,16) and (9,11)
a = 21 - 9 = 12 ⇒ 12² = 144
b = 16 - 11 = 5 ⇒ 5² = 25 ⇒⇒ 144 + 25 = 169 ; c = √169 = 13
Answer:
That's your answer mathematician
