State an equation you could use to find the value of x. Then find the value of x in simplest form.

Answers

Answer 1

Answer: You can use the Pythagorean Theorem:

a^2+b^2=c^2
x^2+x^2=(7√2)^2
2x^2=49*2 (combine like terms and square the 7√2)
x^2=49 (divide both sides by 2)
x=7 (square root both sides)

So the equation is 2x^2=98 (simplest form) and x=7

Hope this helps

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Which of the following expresses the number ofmeters a contestant must travel in a 3-lap race where
the course is a circle of radius R meters?
F. 3R
G. 3πR
H. 3πR^2
J. 6R
K. 6πR

Answers

$1\ lap\to2\pi R\n\n3\ lap\to3\cdot2\pi R=6\pi R\n\nAnswer:K.$

Which type of species from above is more likely to be an invasive species? Why?

Answers

Answer: Here's my answer

Step-by-step explanation:

To determine which type of species is more likely to be an invasive species, we need to consider certain characteristics and factors that contribute to invasiveness. While the question does not provide specific options or types of species, I can provide you with some general information about invasive species to help you understand which characteristics make a species more likely to be invasive.

1. Fast growth and reproduction: Invasive species often have a rapid growth rate and reproduce quickly, allowing them to outcompete native species for resources. This can lead to a decline in biodiversity and disrupt ecosystem balance.

2. Lack of natural predators or diseases: Invasive species may have evolved in a different habitat where they are not naturally controlled by predators, parasites, or diseases. This lack of natural checks and balances can allow invasive species to thrive and spread rapidly in new environments.

3. Ability to adapt to new environments: Invasive species are typically able to adapt and survive in a wide range of environmental conditions. They can tolerate different climates, soil types, or water conditions, which allows them to establish and thrive in new areas.

4. High reproductive capacity and dispersal mechanisms: Invasive species often have efficient mechanisms for dispersal, such as producing large numbers of seeds, having long-distance dispersal methods (e.g., wind, water, or hitchhiking on animals), or having a strong ability to reproduce vegetatively (e.g., through runners, rhizomes, or fragmentation).

5. Competitive advantage over native species: Invasive species may possess traits that give them a competitive edge over native species. This could include traits such as rapid growth, efficient resource utilization, allelopathy (the ability to release chemicals that inhibit the growth of other plants), or resistance to herbivores.

It's important to note that the likelihood of a species being invasive can also depend on the specific ecosystem and context. Some species may be invasive in one region but not in another due to differences in environmental conditions and the presence of natural controls.

To determine which specific species from the given options is more likely to be invasive, we would need additional information about their characteristics, native range, and ecological impact.

determine the domain of the function. f(x) = sqrt 9 - x x ≤ 9 all real numbers except 9 all real numbers x > 9