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xeze [42]
3 years ago
5

Verify X + y equal to y + X when:x=-8/9and y=-3/5​

Mathematics
1 answer:
atroni [7]3 years ago
4 0

Given:

x=-\dfrac{8}{9},\ y=-\dfrac{3}{5}

To verify:

x+y=y+x

Solution:

We need to verify,

x+y=y+x

Taking left hand side, we get

LHS=x+y

After substituting the values, we get

LHS=-\dfrac{8}{9}+\left(-\dfrac{3}{5}\right)

LHS=-\dfrac{8}{9}-\dfrac{3}{5}

LHS=\dfrac{-40-27}{45}

LHS=\dfrac{-67}{45}

Now,

Taking right hand side, we get

RHS=y+x

After substituting the values, we get

RHS=-\dfrac{3}{5}+\left(-\dfrac{8}{9}\right)

RHS=-\dfrac{3}{5}-\dfrac{8}{9}

RHS=\dfrac{-27-40}{45}

RHS=\dfrac{-67}{45}

Clearly,

LHS=RHS

Hence verified.

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Step-by-step explanation:

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evablogger [386]

Answer:

Third option. \frac{p^3}{n^{6}}

Step-by-step explanation:

For this exercise you need to remember one of the properties for exponents.

There is a property called the "Negative property of exponents" which states the following:

b^{-n}=\frac{1}{b^n}

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As you can observe,  b^n is the reciprocal of b^{-n}

In this case you have the following expression given in the exercise:

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Therefore, applying the Negative property of exponents explained at the beginning of this explanation, you can simplify the expression.

Then, the simplified form of  n^{-6p^3} is the one shown below:

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I think the correct answer is C. because each if forming a right triangle when you trace it.

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Answer:

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Step-by-step explanation:

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In land-based, or terrestrial, ecosystems in their natural state, rain usually hits the leaves and other surfaces of plants before it reaches the soil. Some water evaporates quickly from the surfaces of the plants. The water that's left reaches the soil and, in most cases, will begin to move down into it.

In general, water moves along the surface as runoff only when the soil is saturated with water, when rain is falling very hard, or when the surface can't absorb much water. A non-absorbent surface could be a rock in a natural ecosystem or asphalt or cement in an urban or suburban ecosystem.

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Image credit: The water cycle by NOAA National Weather Service Jetstream, CC BY 2.0

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