Answer:
C
Step-by-step explanation:
Calculate the slope m using the slope formula
m =
with (x₁, y₁ ) = (4, 9) and (x₂, y₂ ) = (12, 20)
m = =
→ C
What is the absolute value of the integers, 1-41, 1 +51, 1-61?
2 answers:
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Explanation
Problem #2
We must find the solution to the following system of inequalities:
(1) We solve for y the first inequality:
Now, we multiply both sides of the inequality by (-1), this changes the signs on both sides and inverts the inequality symbol:
The solution to this inequality is the set of all the points (x, y) over the line:
This line has:
• slope m = 3/2,
,• y-intercept b = -2.
(2) We solve for y the second inequality:
The solution to this inequality is the set of all the points (x, y) below the line:
This line has:
• slope m = -1/3,
,• y-intercept b = 2.
(3) Plotting the lines of points (1) and (2), and painting the region:
• over the line from point (1),
,• and below the line from point (2),
we get the following graph:
AnswerThe points that satisfy both inequalities are given by the intersection of the blue and red regions:
Let x = 6 = 2y so
3(6 - 2y) + 14y = 8 so
18 - 6y + 14y = 8 so
8y = -10 and
3(6 - 2y) + 14y = 8 so
18 - 6y + 14y = 8 so
8y = -10 and
Answer:
x = 15
Step-by-step explanation:
If you have any questions about the way I solved it, don't hesitate to ask
