The circle graph below shows the percentage of a family budget used for different monthly expenses
region b will make the inequalities y < 2x + 1 and y > -x - 2 true ⇒ answer a
step-by-step explanation:
* lets study the graph and the inequality to solve the question
- the inequality y > -x - 2
∵ the form of the inequality is y > mx + c , m is the slope of the line
and c is the y-intercept (the line intersect y-axis at point (0 , c)
∴ c = -2 that means the line intersect the y-axis at point (0 , -2)
∵ the sign of the inequality is >
∴ we shad the part over the line
region a and b
- the inequality y < 2x + 1
∵ the form of the inequality is y > mx + c , m is the slope of the line
and c is the y-intercept (the line intersect y-axis at point (0 , c)
∴ c = 1 that means the line intersect the y-axis at point (0 , 1)
∵ the sign of the inequality is <
∴ we shad the part under the line
region b and c
∵ the common region between the two lines is region b
∴ region b will make the inequalities y < 2x + 1 and y > -x - 2 true
the degrees would remain the same ( the number to the left of the decimal point.
the multiply the decimal by 60 to get the minutes and use the numbers to the left of the decimal point.
then multiply the decimal portion of that by 60 for the seconds and round off as needed.
39 .956652
the 39 remains the degrees.
the minutes = 0.956652 x 60 = 57.39912
the minutes = 57
the seconds = 0.39912 x 60 = 23.95 = 24 ( rounded to nearest tenth)
so 39.956652 = 39 degrees, 57 minutes and 24 seconds
-75.159809
the -75 remains the degrees
the minutes = 0.159809 x 60 = 9.58854
the minutes = 9
the seconds = 0.58854 x 60 = 35.31, rounded to nearest tenth = 35.3 seconds
so -75.159809 = -75 degrees, 9 minutes and 35.3 seconds.
the first coordinate is north or south, since it it positive it is north.
the second number is east or west, because it is negative it is west.
39 degrees, 57 minutes and 24 seconds n
-75 degrees, 9 minutes and 35.3 seconds w