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WINSTONCH [101]
3 years ago
13

Which of the following values satisfies the pythagoean theorem for the right triangle below?

Mathematics
1 answer:
wlad13 [49]3 years ago
8 0

Answer:

√61 is the correct answer

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Which of the following geometric objects could have its length measured?
Mariana [72]
Line segment........
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The creation of knowledge is a public good. Because knowledge is a public good, profit-seeking firms tend to free-ride on the kn
patriot [66]

Answer:Specific, technological knowledge can be patented. The inventor thus obtains much of the

benefit of his invention. Our government also subsidizes basic research in many different fields.

Step-by-step explanation:Patent law is the branch of intellectual property law which specifically caters to new inventions.

Patents protect valuable scientific inventions but it has evolved in a way that it now also protects business practices , coding algorithm and other crucial inventions.

5 0
3 years ago
Simplify the following expression into the form a + bi, where a and b are rational numbers.
vagabundo [1.1K]
The answer is -16 - 10i.

Using the distributive property on the first part, we have:
-2i*7--2i*4i + (3+i)(-2+2i)
-14i+8i² +(3+i)(-2+2i)

Using FOIL on the last part,
-14i+8i²+(3*-2+3*2i+i*-2+i*2i)
-14i+8i²-6+6i-2i+2i²
-10i+8i²-6+2i²

Since we know that i = -1,
-10i+8(-1)-6+2(-1)
-10i-8-6-2
-16-10i
7 0
3 years ago
Read 2 more answers
If f(x)=2x^2+1 and g(x)= x^2-7 find (f-g)(x)
kvasek [131]

Answer:

x² + 8

Step-by-step explanation:

(f - g)(x)

= f(x) - g(x)

= 2x² + 1 - (x² - 7)

= 2x² + 1 - x² + 7 ← collect like terms

= x² + 8

3 0
2 years ago
The isotope cobalt-60 has a nuclear mass of 59.933820 u
Lesechka [4]
Cobalt has an atomic number (Z) of 27, which means the nuclei of all its isotopes have 27 protons. Cobalt 60 has an atomic mass of 60, so it has 60-27 = 33 neutrons.

The mass of 27 isolated protons plus the mass of 33 isolated neutrons would be:

27*(1.007825 u) + 33*(1.008665 u) = 60.497220 u

The actual mass of the nucleus of 60-Co is 59.933820 u.

Mass defect: 60.497220 u - 59.933820 u = 0.563400 u

The mass defect is equal to the binding energy of a nucleus.
using the fact that 1 u = 931.5 MeV/c^2

(0.563400 u)*(931.5 MeV/u) = 524.807 MeV

3 0
3 years ago
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