What is the linear inequality of y>-2

1 answer:

7 0

Your question is a bit ambiguous. Are you supposed to describe the inequality in words? or to graph it? Please share the instructions and don't use "What is ... "

y>-2 can be graphed easily. Think: the x-axis is the line y=0. The line y= -2 is also a horiz. line, but it passes thru (0, -2) instead of thru the origin (0,0).

Because of the inequality symbol, you must draw y = -3 as a dashed (not solid) line.

Last, you'd need to shade the entire area above the dashed line y = -3. The shaded area is the "solution" of y>-2.

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Question 19 Only, Please show your work. Solve the problem.

ankoles [38]

Answer:

$5\sqrt{2}$

Step-by-step explanation:

Draw a diagonal (line segment from one corner to the opposite corner). You'll form two right triangles with the diagonal being the hypotenuse of both triangles.

Use the Pythagorean Theorem: (leg)^2 + (leg)^2 = (hypotenuse)^2.

Let h represent the length of the hypotenuse.

$h^2 = 5^2+5^2\\h^2=25 + 25\\h^2 =50\\h=\sqrt{50}\\h=5\sqrt{2}$