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Alchen [17]
3 years ago
13

Point H(9, 1) is reflected across the x-axis. Which statements about H’ is true?

Mathematics
1 answer:
Elza [17]3 years ago
7 0

Answer:

b and d

Step-by-step explanation:

Under a reflection in the x - axis

a point (x, y ) → (x, - y ) , then

H (9, 1 ) → H' (9, - 1 )

the x- coordinate is 9 → b

the y- coordinate is - 1 → d

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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:

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

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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.

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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
What are the solutions of this quadratic equation? x2 + 10 = 0 A. B. C. D.
Daniel [21]

Answer:

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5 0
3 years ago
A rectangular prism has a length of 8 in., a width of 4 in., and a height of 214 in.
Ivan

For this case we have that by definition, the volume of a rectangular prism is given by:

V = A_ {b} * h

Where:

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h: It is the height

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n = 2.5

8 0
3 years ago
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There are 10 possibilities for that one ... the digits ' 0 ' through ' 9 '.

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8 0
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