X - 4 is ≥ to 6. Whats the Answer?

Mathematics

1 answer:

MissTica3 years ago

6 0

<span> x≥10
you add 4 to both sides</span>

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Step-by-step explanation:

The distributive property: <em>a(b + c) = ab + ac</em>.

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An airplane travels 5040 kilometers against the wind in 9 hours and 6660 kilometers with the wind in the same amount of time. Wh

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Flying against the wind, an airplane travels 4200 km in 7 hours. Flying with the wind, the same plane travels 4000 km in 4 hours. What is the rate of the plane in still air and what is the rate of the wind?

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Let Va = the velocity of the airplane Let Vw = the velocity of the wind When flying with the wind: (Va+Vw)*(4 hours) = 4000 4Va + 4Vw = 4000 4Vw = 4000 - 4Va Vw = 1000 - Va When flying against the wind: (Va-Vw)*(7 hours) = 4200 km7Va - 7Vw = 4200 Substitute 1000-Va for Vw and solve for Va: 7Va - 7(1000-Va) = 4200 7Va -7000 + 7Va = 4200 14Va = 11200 Va = 800 km/hr Rate of wind: Vw = 1000 - Va = 1000 - 800 = 200 km/hour

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Flying against the wind, an airplane travels 4500 in 5 hours. Flying with the wind, the same plane travels 4640 in 4 hours. What is the rate of the plane in still air and what is the rate of the wind?

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Step-by-step explanation:

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2 years ago

PLEASE PLEASEE ANSWER THE QUESTION IN THE PICTURE BELOW

KatRina [158]

Answer: Choice C

Vertex = (5, -2)

===============================================

Explanation:

Vertex form is $y = a(x-h)^2 + k$ where the vertex itself is located at (h,k)

As the name implies, we can very quickly pull out the coordinates of the vertex without doing much math at all.

In the case of choice C, we have $y= \frac{1}{2}(x-5)^2 - 2$ which is the same as $y = \frac{1}{2}(x-5)^2 + (-2)$ and we can see that h = 5 and k = -2. Therefore, the vertex is located at (h,k) = (5, -2)