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rodikova [14]
3 years ago
12

Solve x^2 − 7x − 8 = 0 by factoring

Mathematics
1 answer:
Kobotan [32]3 years ago
5 0

Answer:x=−1 or x=8

Step-by-step explanation:

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The length of a shadow of a building is 26 m. The distance from the top of the building to the tip of the shadow is 36 m, Find t
Korvikt [17]

Applying the Pythagorean theorem, the height of the building is: 24.9 m.

<h3>How to Apply the Pythagorean Theorem?</h3>

Where c is the length of the hypothenuse of a right triangle, and a and b are the legs of the right triangle, the Pythagorean theorem states that:

c = √(a² + b²).

The diagram of the building and its shadow form a right triangle as shown in the image below, where:

a = height of the building

b = 26

c = 36

Applying the Pythagorean theorem, we will have:

a = √(36² - 26²)

a = √(36² - 26²)

a = 24.9 m

Learn more about the Pythagorean theorem on:

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Step-by-step explanation:

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Natalie consumes only apples and tomatoes. Her utility function is U(x, y) = x 2y 8 , where x is the number of apples consumed a
Kamila [148]

Answer:

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MU_x =\frac{\partial U}{\partial x}  = 2xy^8\\MU_y = \frac{\partial U}{\partial x} = 8x^2y^7\\

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Price of tomatoes,  Py=$3

Ratio of their Marginal Utilities

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Since Natalie’s income is $320

320 = xPx+yPy

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Since x=16, Natalie will consume 16 apples.

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