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Keith_Richards [23]
2 years ago
5

Question

Mathematics
1 answer:
Naddik [55]2 years ago
4 0

...Answer:

Step-by-step explanation:

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The solution to an inequality is graphed on the number line.
Charra [1.4K]

Because the arrow is pointing to the left, the answer to the solution set needs to be less than the the number the dot is on.

A solid dot on a number means that that number is included in the solution set.

In the picture the solid dot is on 4.5, so the solution set needs to be equal to or less than 4.5.

The answer is:

{x | x ≤ 4.5}

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Step-by-step explanation:

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3 years ago
Write an equation of the perpendicular bisector of the segment with endpoints G 9,8       and H 3,2      .
Norma-Jean [14]

Answer:

y = -x + 11

Step-by-step explanation:

The equation of a straight line is is given by:

y = mx + b; where m is the slope and b is the y intercept

The equation of the line joining G(9, 8) and H(3, 2) is given as:

y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)\\\\y-8=\frac{2-8}{3-9}(x-9)\\\\y-8=x-9\\\\y=x-1

The perpendicular bisector of the line joining G(9, 8) and H(3, 2) is perpendicular to the line joining G(9, 8) and H(3, 2) and passes through the midpoint of line joining G(9, 8) and H(3, 2).

Let (x, y) be the midpoint of the line joining G(9, 8) and H(3, 2). Hence:

x = (9 + 3)/2 = 6

y = (8 + 2)/2 = 5

The midpoint = (6, 5)

Two lines are perpendicular if the product of their slopes is -1.

The line joining G(9, 8) and H(3, 2) has a slope of 1, hence, the slope of the perpendicular bisector would be -1.

This means that the perpendicular bisector has a slope of -1 and passes through (6, 5). Using:

y-y_1=m(x-x_1)\\\\y-5=-1(x-6)\\\\y-5=-x+6\\\\y=-x+11

The equation of the perpendicular bisector is y = -x + 11

8 0
3 years ago
Please Help
Vinil7 [7]

Answer:

1.2

Step-by-step explanation:

You simply have to look for a point on the graph that has an x-coordinate of -6. Only one is (-6. 1.2), so 1.2 is your answer.

3 0
3 years ago
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