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3 years ago

What is the inequality in the picture?

Mathematics

1 answer:

Paul [167]3 years ago

8 0

Answer:

The answer is y > 1/2x + 2

Step-by-step explanation:

To find the inequality of the graph:

Analyze line to noticed is dotted which means the sign can be greater than or less than. Then analyze the shaded part it is to the left meaning the sign used is >. We notice the y-intercept is 2 and the slope is 1/2. Create the equation to get y > 1/2x + 2. Hopefully this was very helpful! :)

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Which equation describes a line with a slope of -8 and includes the point (-4, 7)?

timurjin [86]

Such an equation would be y + 8x = - 25 (standard form) OR y = -8x - 25 (y-intercept form)

Deriving The Answer:

By using the point-slope form of the equation of a line, by knowing the gradient of that line and a point on that line, the equation of this line can be derived.

Now, the point-slope form exists as y - y₁ = m ( x - x₁)

since slope = -8 and the point on the line = (-4 , 7)

Then m = - 8
x₁ = - 4
y₁ = 7
⇒ y - 7 = -8 ( x - (-4))

⇒ y - 7 = -8x - 32

⇒ y + 8x = - 25

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3 years ago

Which is the equation of a line that has a slope of -2/3and passes through point<br> (-3,-1)?

Nataly [62]

Answer:

y=-2/3x-3

Explanation

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3 years ago

Michael is trying to hang Christmas lights on his house. His house is 17 ft tall and the ladder leaning is 34 degrees above the

Readme [11.4K]

Answer:

34 feet

Step-by-step explanation:

let length of ladder be x

$\ \sin(34) = \frac{17}{x}$

$x \sin(34) = 17$

$x = \frac{17}{ \sin(34) }$

x = 32.131083564

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3 years ago

Can someone please help me with Probability? Only answer if you know

omeli [17]

Answer:

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Step-by-step explanation:

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4 years ago

To measure the height of the cloud cover at an airport, a worker shines a spotlight upward at an angle 75° from the horizontal.

DaniilM [7]

The geometry of the problem does not seem well-described here. Assuming the spotlight beam and the observation are in the same vertical plane, there are two possibilities for the height:
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See the attachment for the geometry. Choose the answer corresponding to the geometry of the problem.

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3 years ago