Answer:
a) one solution
b) no solution
Step-by-step explanation:
Systems of equations can be described as having one solution, no solution or infinite solutions:
One solution: 'x' and 'y' are equal to only one value
No solution: 'x' and 'y' can not be solved with the given equations
Infinite solutions: values for 'x' and 'y' include all real numbers
In order to evaluate the systems, putting them in the same format is your first step:
a) - y = -5x - 6 or y - 5x = 6
y - 5x = -6
Since both equations have the same expression 'y - 5x', but there are equal to opposite values, this system would have no solution, as this would not be possible to calculate.
b) y + 3x = -1
y = 3x -1 or y - 3x = -1
Solving for 'y' by adding the equations and eliminating 'x', gives us:
2y = -2 or y = -1
Using y = -1 to plug back into an equation and solve for 'x': -1 + 3x = -1 or x = 0. Since 'x' and 'y' can be solved for a value, the system has just one solution.
The triangle that shows a scalene triangle is: D. a triangle where all the sides on it are different lengths.
<h3>What is a Scalene Triangle?</h3>
A scalene triangle is a triangle whose three angles are unequal and also has three unequal sides.
This means that any two sides or two angles of a scalene triangle must not be equal.
Thus, the triangle that shows a scalene triangle is: D. a triangle where all the sides on it are different lengths.
Learn more about scalene triangle on:
brainly.com/question/16589630
Answer:
HK = 24
Step-by-step explanation:
HK and JL are diagonals of the parallelogram.
Recall that diagonals of a parallelogram bisect each other. This implies that, they divide each other into equal parts.
Therefore,
HK = 2(HM)
HM = 12
Thus,
HK = 2(12)
HK = 24
Answer:
18÷n or 18a
Step-by-step explanation:
Answer:
30 minutes to the park
Step-by-step explanation:
12/2 = 6 min per mile
6 x 5 = 30 mins for 5 miles
