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taurus [48]
3 years ago
9

The coordinate grid shows points A through K. What point is a solution to the system of inequalities?

Mathematics
1 answer:
denis23 [38]3 years ago
6 0

Answer:

Option C.) B

Step-by-step explanation:

we have

y > -2x+10 -----> inequality A

The solution of the inequality A is the shaded area above the dashed line y=-2x+10

The slope of the dashed line is negative m=-2

The y-intercept of the dashed line is (0,10)

The x-intercept of the dashed line is (5,0)

y > (1/2)x-2 -----> inequality B

The solution of the inequality B is the shaded area above the dashed line

y= (1/2)x-2

The slope of the dashed line is positive m=1/2

The y-intercept of the dashed line is (0,-2)

The x-intercept of the dashed line is (4,0)

using a graphing tool

The solution of the system of inequalities is the shaded area

see the attached figure

Points B and I are solution to the system of inequalities

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Step-by-step explanation:

7p – 3q

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7(8)-3(-5)

56+15

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There are 10 circles and 2 triangles. What is the simplest ratio of triangles to total shapes?
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Answer:

1:6

Step-by-step explanation:

Given that there are 10 circles and 2 triangles, the total number of shapes is equal to 10+2.

10+2=12

Because there are 2 triangles, the ratio of triangles to total shapes is equal to 2:12.

However, this ratio can be simplified because both sides are multiples of 2. Divide both sides of the ratio by 2 to simplify the ratio.

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Therefore, the simplest ratio of triangles to total shapes is 1:6.

I hope this helps!

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3 years ago
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Mr. Toler has a piece of wood that is 8 1/4 feet in length he wants to cut it into pieces that are three over 4 foot in length.
monitta

Answer:

11 pieces.Step-by-step explanation:We must divide 8 1/4 by 3/48 1/4 = 33/4Dividing:33/4 / 3/4= 33/4 * 4/3= 33/3= 11.

Step-by-step explanation:

11 pieces.Step-by-step explanation:We must divide 8 1/4 by 3/48 1/4 = 33/4Dividing:33/4 / 3/4= 33/4 * 4/3= 33/3= 11.

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In the diagram B is the midpoint of a A and C. B is also the midpoint or E and F. C is the midpoint of A and D.
aivan3 [116]

Answer:

AD = 84

Step-by-step explanation:

Since B is the midpoint of AC then AB = BC = 2x - 5

Since C is the midpoint of AD then AC = CD, thus

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3x - 10 = 29 ( add 10 to both sides )

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x = 13

Hence

AD = AB + BC + CD

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