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2 years ago

HELP! I'll give brainliest.

Mathematics

1 answer:

gavmur [86]2 years ago

6 0

Answer:

-4 < x ≤ -3

Step-by-step explanation:

The compound inequality needs to be separated into its two parts in order to obtain a solution.

We can do a little preliminary work to make the solutions easier.

2x +6 ≤ x +3 < 3x +11 . . . . . given

x +3 ≤ 0 < 2x +8 . . . . . . . . subtract x+3

x +3 ≤ 0

x ≤ -3 . . . . . . . subtract 3

<h3>right side</h3>

0 < 2x +8

0 < x +4 . . . . divide by 2

-4 < x . . . . . . subtract 4

<h3>solution</h3>

Now, we can rearrange these back into a compound inequality.

-4 < x ≤ -3

_____

The graphing calculator shows the same solution.

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Reggie has a rectangular piece of paper that is 12 inches long and 7 inches wide. He is going to cut the paper from corner to co

neonofarm [45]

A property from geometry states that rectangles have congruent opposite sides. Thus, no matter which diagonal Reggie cuts, it still has the same lengths. Since it's a rectangle and we cut from corner to corner, we create a right triangle. See the picture below:

<u>___________12 inches_______</u>

7 |

i |

n |

Because it's a rectangle, it won't matter which corner we cut. But if we fold at the cut lines, we would make an in the rectangle's center.

The cut line and two sides make a right triangle. One leg is 12, one leg is 7, and we need to find the third side. The Pythagorean Theorem - sum of the squares of the legs equals the square of the hypotenuse - is applied.

Let S = the length of the side from corner to corner

S² = 12² + 7²

S² = 144 + 49

S² = 193

S = √193 or -√193

Because we are dealing with lengths, we only want positive numbers. -√193 is not used. Thus S = √193

S = √193 = 13.8924439894

S = 18.92 (rounded to two places)

Thus, Reggie will cut 18.92 inches of paper.

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3 years ago

Write numbers to make each line have the same sum

wlad13 [49]

Answer:

There is nothing here?

Step-by-step explanation:

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2 years ago

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Nesterboy [21]

Answer:

$b = \sqrt{65}$

Step-by-step explanation:

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I hope I helped you^_^

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3 years ago

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Delicious77 [7]

Answer: C

Step-by-step explanation:

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3 years ago

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The values of a, b and c for the equation 8x2 - 2x = 1 are:

meriva

Answer:

The values are B

a= 8,b = -2 c= -1

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3 years ago