Parallel lines have the same slope, but different y-intercepts
The slope of both lines is -2/3
To find the equation that passes through (7, 3) we can use the point-slope formula: y - y1 = m (x - x1)
y - (3) = (-2/3) (x - (7))
y - 3 = -2/3x + 4 and 2/3
y = -2/3x + 7 and 2/3
or
y = -2/3x + 7.67
:)))
Answer:
(8, 3)
Step-by-step explanation:
For a 270° rotation, the rule is that (x, y) turns into (y, -x)
In (-3, 8), -3 represents x and 8 represents y.
Our answer is then (y, -x), or (8, 3)
Answer: Alternative optimal
Step-by-step explanation:
Alternative optimal solution means that
there are several optimal solutions that can be used to get identical objective function value.
Therefore, a scenario whereby the optimal objective function contour line coincides with one of the binding constraint lines on the boundary of the feasible region will lead to alternative optimal solution.
Answer:
5438.5
Step-by-step explanation:
To complete this equation, we must use the order of operations also known as PEMDAS.
For the case of this problem, we start by multiplying or dividing numbers before adding or subtracting numbers.
First let's start on the left:
100 x 54 + 77 ÷ 2
5,400 + 77 ÷ 2
5,400 + 38.5
5438.5
I hope this helps! Just remember to always add or subtract number last and start on the left, so that you don't get confused.
For question 40 the answer is B