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Morgarella [4.7K]
3 years ago
7

Read Picture ;) -ps: Thank you everyone for the help on my last posts!

Mathematics
1 answer:
noname [10]3 years ago
4 0
It should be A
.....................
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How does graphing linear inequalities differ from graphing linear equations?​
Ivan

Explanation:

When the inequality symbol is replaced by an equal sign, the resulting linear equation is the boundary of the solution space of the inequality. Whether that boundary is included in the solution region or not depends on the inequality symbol.

The boundary line is included if the symbol includes the "or equal to" condition (≤ or ≥). An included boundary line is graphed as a solid line.

When the inequality symbol does not include the "or equal to" condition (< or >), the boundary line is not included in the solution space, and it is graphed as a dashed line.

Once the boundary line is graphed, the half-plane that makes up the solution space is shaded. The shaded half-plane will be to the right or above the boundary line if the inequality can be structured to be of one of these forms:

  • x > ...   or   x ≥ ...   ⇒ shading is to the right of the boundary
  • y > ...   or   y ≥ ...   ⇒ shading is above the boundary

Otherwise, the shaded solution space will be below or to the left of the boundary line.

_____

Just as a system of linear equations may have no solution, so that may be the case for inequalities. If the boundary lines are parallel and the solution spaces do not overlap, then there is no solution.

_____

The attached graph shows an example of graphed inequalities. The solutions for this system are in the doubly-shaded area to the left of the point where the lines intersect. We have purposely shown both kinds of inequalities (one "or equal to" and one not) with shading both above and below the boundary lines.

6 0
3 years ago
A cone has a height of 4 in and a radius of 6 in. What is the volume of the cone?
MatroZZZ [7]

Answer:

48π in³

Step-by-step explanation:

V=\frac{1}{3} \pi r^2h

Plug in the radius 6 in and the height 4 in

V=\frac{1}{3} \pi (6)^2(4)\\V=\frac{1}{3} \pi (36)(4)\\V=\frac{1}{3} \pi (144)\\V=48\pi

Therefore, the volume of the cone is 48π in³.

I hope this helps!

3 0
2 years ago
Find the angle complementary to the angle 80°. A. 90° B. 180° C. 10° D. 100°
Alex_Xolod [135]

Complementary Angles is a pair of any two acute angles that add up to make 90 degrees


90-80 = 10

 the angle is 10 degrees

C is the correct answer

4 0
3 years ago
Read 2 more answers
The price of a trip to Six Flags was reduced from $35.00 to $30.80. By what percentage was the price of the game reduced?
ella [17]

Answer:

88 percent

Step-by-step explanation:

Final price divided by initial price

3 0
2 years ago
Read 2 more answers
Please help! Have had 10 attempts and still haven't got it!
adell [148]

Answer:

28

Step-by-step explanation:

To find the area of the shaded region, you have to start off with the area of the whole triangle. To find that, you multiply the height and length. length=10 height=8 (10x8=80). Then, since it's a triangle, you have to divide it by two (80/2=40). So, 40 is the area of the whole triangle. Then, you find the area of the white region, which is 12 (3x4=12). Finally, you take the area of the white square and subtract it from the area of the whole triangle (80-12=28). You would get 28.

5 0
3 years ago
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