30 points plz help me lo links

Mathematics

1 answer:

katen-ka-za [31]2 years ago

4 0

Answer:

(-1/3, 3/4)

Step-by-step explanation:

9x + 8y = 3

6x - 12y = -11

Let's solve the system by eliminating x. We need the coefficients of x to be additive inverses, so they will add to zero eliminating x. The LCM of 9 and 6 is 18. Let's multiply both sides of the first by 2 and both sides of the second equation by -3.

18x + 16y = 6

-18x + 36y = 33

The coefficients of x are 18 and -18, which add to zero. Now we add these two equations.

52y = 39

y = 39/52

y = 3/4

Now we substitute y with 3/4 in the first equation and solve for x.

9x + 8y = 3

9x + 8(3/4) = 3

9x + 6 = 3

9x = -3

x = -3/9

x = -1/3

Solution: (-1/3, 3/4)

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Select the correct answer. The radius of a nitrogen atom is 5. 6 × 10-11 meters, and the radius of a beryllium atom is 1. 12 × 1

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A negative exponent means the number of the exponent divide by the number. The the radius of beryllium atom is larger than the radius of a nitrogen atom by two times.

Given information-

The radius of a nitrogen atom is $5.6\times10^{-11}$ meters.

The radius of a beryllium atom is $1.12 \times10^{-10}$ meters

<h3>Negative exponents</h3>

A negative exponent means the number of the exponent divide by the number.

As the radius of the nitrogen atom is $5.6\times10^{-11}$ meters. Convert it in the power of negative exponent of 10.

Let the radius of the nitrogen is $r$ mm. Thus,

$r=5.6\times 10^{-11}\\
r=5.6\times 10^{-10-1}\\
r=5.6\times 10^{-10}\times10^{-1}\\
r=\dfrac{5.6\times 10^{-10}}{10} \\
r=0.56\times 10^{-10}$

Now the base of the exponents of both the atoms are same. As the radius of the nitrogen atom is $0.56\times 10^{-10}$ meters and the radius of the beryllium atom is $1.12 \times10^{-10}$ . Thus the radius of beryllium atom is larger.