Using linear function concepts, a system of equations with no solutions is created when:
<h3>What is a linear function?</h3>
A linear function is modeled by:
y = mx + b
In which:
- m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
- b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.
The intersection of two lines is the solution of a system of equations. If two lines have the <u>same slope and different intercepts</u>, they will never intercept, that is, the system will not have a solution.
The lines are given as follows:
Hence, for a system with no solution, we need that:
More can be learned about linear function concepts at brainly.com/question/24808124
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109!!
180-64-45= 71. Angle x amd the interior angle create a 180 degree line. And 180-71= 109; the sum of the 2 angles in the triangle are equivalent to the exterior angle
Answer:
B
Step-by-step explanation:
Here, we are told that the rectangle is enlarged by a factor of 6, we now want to calculate the new area of the said rectangle.
Now, for the rectangle to have an area of 20, mathematically the area of a triangle can be calculated using the formula L * B
where L is the length and B is the breadth
our product here is 20, so any product that gives 20 would be a good fit as the value of the width and length of the rectangle
So, let’s say the sides measure 5 inches by 4 inches
Enlarging these by a factor of 6, we have 30 inches by 24 inches
The new area of the rectangle would thus be ;
30 inches * 24 inches = 720 inches^2
Answer:
Ay=3 over 2 or y=-2 over 3
Step-by-step explanation:
the quadratic formula: y={-b±√(b²-4ac)}/2a
In the equation 6y²-5y-6= 0, a=6, b=-5, c= -6
Substituting for the values in the formula we get:
{-(-5)±√[(-5²)-4(6)(-6)}/2(6)
{5±√169}12
={5±13}/12
(5+13)/12=3/2 or (5-13)/12= -2/3
A rectangle is a parallelogram, so its opposite sides are equal. The diagonals of a rectangle are equal and bisect each other.
