The equations y = 3x - 4 and y = 3x + 1 are linear equations
The equations have no solution
<h3>How to determine the solution of the equations?</h3>
The equations are given as:
y = 3x - 4
y = 3x + 1
Next, we plot the graph of the equations y = 3x - 4 and y = 3x + 1
From the graph (see attachment), we can see that the equations do not have a point of intersection
Hence, the equations has no solution
Read more about linear equations at:
brainly.com/question/14323743
Area = 18x^2 + 69x + 60
Width = 3x + 4
Length = (18x^2 + 69x + 60) ÷ (3x + 4)
Length = 3(3x + 4)(2x + 5) ÷ (3x + 4)
Length = 3(2x+5)
Answer:
Therefore, the side lengths 10, 14, and 15 form a triangle.
Step-by-step explanation:
The Triangle Inequality Theorem defines that if we are given the three sides of a triangle, then the sum of any 2 sides of a triangle must be greater than the measure of the third side of the triangle.
The three conditions that need to be met for any triangle with the side lengths A, B, and C.
Given the side lengths of a triangle
Let us check whether it satisfies the three conditions.
10+15 > 14 → TRUE
10+14 > 15 → TRUE
14+15 > 10 → TRUE
As all the conditions are met. Therefore, the side lengths 10, 14, and 15 form a triangle.
Answer:
see explanation
Step-by-step explanation:
given the 2 equations
4x + y = 2 → (1)
- 2x + y = 5 → (2)
Eliminate the term in y by subtracting (2) from (1) term by term
(4x - (- 2x) + (y - y) = (2-5)
6x = - 3 ( divide both sides by 6 )
x = = -
substitute this value into either (1) or (2) and solve for y
(1) : - 2 + y = 2 ( add 2 to both sides )
y = 4
solution is ( - , 4)
Answer:
Force, F = 68.93 pounds
Step-by-step explanation:
Given that,
Mass of the astronaut, m = 80.70 kg
Acceleration due to gravity on Mars,
The force acting on him is given by using second law of motion as :
F = 306.66 N
Since, 1 newton = 0.224 pound
F = 306.66 N = 68.93 pounds
So, 68.93 pounds force she exerts on the martian surface. Hence, this is the required solution.