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3 years ago

Which statement describes the solution to this system of equations?

Mathematics

1 answer:

denis23 [38]3 years ago

4 0

9514 1404 393

Answer:

D There is an infinite number of solutions to the system of equations

Step-by-step explanation:

When you put the first equation in standard form by dividing it by 2, you get ...

x -2y = 4

When you put the second equation in standard form by dividing it by 8, you get ...

x -2y = 4

These are the same equation, so describe the same line. There are an infinite number of (x, y) pairs that will satisfy this equation.

There is an infinite number of solutions.

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Which division problem does the model below show?

denis-greek [22]

Answer:

Step-by-step explanation:

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4 years ago

Solve each equation by taking square roots 2n^2 -8=-33

densk [106]

$2n^2 -8=-33$

$
2n^2=-33+8
 
$ $Add \ 8 \ to \ both \ sides$

$2n^2=-25$

$n^2=- \dfrac{25}{2}$ $Divide \ both \ sides \ by \ 2$

$n=+ \sqrt{ -\dfrac{25}{2} }$ $Take \ the \ square \ root \ of \ both \ sides$

$n=+ \sqrt{ \dfrac{5i}{ \sqrt{2}}}$

5 0

3 years ago

The coldest place in the Milky Way galaxy is found in the Boomerang Nebula. The temperature is -457.6°F. Convert this to a Celsi

valentina_108 [34]

-272 celsius is the answer

5 0

3 years ago

Read 2 more answers

Use the law of Sines to find the missing angle of the triangle. Find m

Whitepunk [10]

Ah...Trigonometry is fun!

The law of sines states:
$\frac{sinA}{a}= \frac{sinB}{b} = \frac{sinC}{c}$
The transitive property (switching the orders of the equations) applies here. Therfore, we can say that $\frac{sinA}{a}=\frac{sinC}{c}$

We then plug in our given values to find C

$\frac{sin24}{77}=\frac{sinC}{162}$
$\frac{162*sin24}{77}=sinC$
Solving, we get 0.8557316387. We're not done yet!

We are trying to find an angle measure, so we'll do the inverse of the ratio we used (sin).

arcsin0.8557316387 (arcsin is the same as inverse sin)
=58.8 (approximate)

So the measure of angle C is 58.8. You could check this by reinserting it into the equation $\frac{sinA}{a}= \frac{sinB}{b} = \frac{sinC}{c}$ .

:)

6 0

3 years ago

2. A boy and his father played 26 games of checkers. For every game the boy lost, he gave his father 5 cents. For every game the

trasher [3.6K]

Answer: the boy won 10 games

Step-by-step explanation:

Let's call B as the number of games won by the boy, and F as the number of games won by the father.

We know that, there is a total of 26 games:

B + F = 26.

We know that in each game won by the boy, he wins 8 cents, for every game that the father wins, the boy losses 5 cents, and we know that at the end of the 26 games, the boy did not win or lose any money, so we have:

B*8 + F*(-5) = 0.

Then we have a system of equations:

B + F = 26

8*B - 5*F = 0.

The first step is isolating one of the variables. Let's start isolating F in the first equation:

B + F = 26

F = 26 - B.

Now we can replace this in the second equation:

8*B - 5*F = 0

8*B - 5*(26 - B) = 0

8*B + 5*B - 5*26 = 0

13*B = 5*26

B = 5*26/13 = 5*2 = 10

So the boy won 10 games (then the father won the other 16 games)

7 0

3 years ago