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denis23 [38]
3 years ago
5

Let x represent one number and let y represent the other number. The sum of two numbers is negative 6. If one number is subtract

ed from the​ other, their difference is 8. Use the given conditions to write a system of equations. Solve the system and find the numbers.
Mathematics
1 answer:
GalinKa [24]3 years ago
7 0

Answer:

x=7 and y=-1

Step-by-step explanation:

X+Y=6 OR X=6-Y  ...(1)

X-Y=8    ...(2)

substitue X=6-Y in (2)

(6-Y)-Y=8

6-2Y=8

-2Y=8-6

-2Y=2

Y=2/-2\Y=-1 ANS.

for x, substitute Y=-1 in (1) above

X-(-1)=8

X=8-1

X=7 ANS.

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Solve for y:

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~Subtract 3x to both sides

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y = -3 + 3/7x

~Change order

y = 3/7x - 3

Best of Luck!

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Jung wanted to find out which band was most popular among the high school students. Where should he conduct his survey to get th
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Answer:

I'd say A

Step-by-step explanation:

Reason: Because B and C are both having bands there and the cafeteria has the students popular opinion where there isn't band influence.

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3 years ago
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Rewrite the form In exponential form:<br> Log100 = x
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Answer:

10^x=100

Step-by-step explanation:

You know how subtraction is the <em>opposite of addition </em>and division is the <em>opposite of multiplication</em>? A logarithm is the <em>opposite of an exponent</em>. You know how you can rewrite the equation 3 + 2 = 5 as 5 - 3 = 2, or the equation 3 × 2 = 6 as 6 ÷ 3 = 2? This is really useful when one of those numbers on the left is unknown. 3 + _ = 8 can be rewritten as 8 - 3 = _, 4 × _ = 12 can be rewritten as 12 ÷ 4 = _. We get all our knowns on one side and our unknown by itself on the other, and the rest is computation.

We know that 3^2=9; as a logarithm, the <em>exponent</em> gets moved to its own side of the equation, and we write the equation like this: \log_3{9}=2, which you read as "the logarithm base 3 of 9 is 2." You could also read it as "the power you need to raise 3 to to get 9 is 2."

One historical quirk: because we use the decimal system, it's assumed that an expression like \log1000 uses <em>base 10</em>, and you'd interpret it as "What power do I raise 10 to to get 1000?"

The expression \log100=x means "the power you need to raise 10 to to get 100 is x," or, rearranging: "10 to the x is equal to 100," which in symbols is 10^x=100.

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3 years ago
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Can you put this in English so I can help you please
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3 years ago
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The mass of the Earth is 5.972x10^24 kg. the mass of the moon is 7.3 x 10^22kg. find the total mass, in kg, of the Earth and the
torisob [31]

Answer:

6045000000000000000000000 kg.

Step-by-step explanation:

We have been given that the mass of Earth is 5.972\times10^{24} kg. The mass of the Moon is 7.3\times10^{22} kg.

To find the total mass we will add mass of Earth and Moon.

First of all let us convert the given masses in standard form.

5.972\times10^{24}=5972000000000000000000000  

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5.972\times10^{24}+7.3\times10^{22}  

5972000000000000000000000+73000000000000000000000

6045000000000000000000000

Therefore, the mass of Earth and Moon is 6045000000000000000000000 kg.

8 0
3 years ago
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