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8090 [49]
3 years ago
14

What is the solution to this inequality 9-3x>=2(x-3)

Mathematics
2 answers:
NeTakaya3 years ago
3 0
9-3x  \geq 2(x-3)

9-3x  \geq 2x-6

9  \geq 5x-6

15  \geq 5x

3  \geq x

\boxed{x  \leq 3}
Arturiano [62]3 years ago
3 0
9-3x\geq2(x-3)\\
9-3x\geq2x-6\\
-5x\geq-15\\
x\leq3
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Natasha2012 [34]

Answer:

Yes, The pole will fit through the door because the diagonal width of the door is 10.8 feet, which is longer than the length of the pole.

Step-by-step explanation:

Using the Pythagorean Theorem, (a^2+b^2=c^2 ) we can measure the hypotenuse of a right triangle. Since the doorway is a rectangle, and a rectangle cut diagonally is a right triangle, we can use Pythagorean Theorem to measure the diagonal width of the doorway.

Plug in the values of the length and width of the door for a and b. The c value will represent the diagonal width of the doorway:

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117=c^2

Since 117 is equal to the value of c multiplied by c, we must find the square root of 117 to find the value of c.

\sqrt{117} =10.8

10.8=c

Yes, The pole will fit through the door because the diagonal width of the door is 10.8 feet, which is longer than the length of the pole, measuring 10 feet.

7 0
3 years ago
Find the sum of the first 8 terms of the sequence. Show all work for full credit.
aliina [53]
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4 0
3 years ago
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A surveyor holds a laser range finder 3 feet above the ground and determines that the range finder is 92 feet from a building an
Ivahew [28]

Answer:

55.64

Step-by-step explanation:

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We will use the Pythagorean theorem:

x^2 = 106^2 - 92^2

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x = 52.64978632

The height of the building:

h = x + 3

= 52.64978632 + 3

= 55.64978632

or

≈ 55.64 feet

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mamaluj [8]
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2. (D)
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