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siniylev [52]
3 years ago
5

I need help with these ASAP thanks

Mathematics
1 answer:
Nataly_w [17]3 years ago
4 0

Answer:

a. y=\frac{2x}{x-5}

b. y=\frac{2-4x}{x-3}

Step-by-step explanation:

change switch x and y and then solve for y.

a. x=\frac{5y}{y-2}

x(y-2)=5y

xy-2x=5y

xy-5y=2x

y(x-5)=2x

y=\frac{2x}{x-5}

same for b.

b. x=\frac{3y+2}{y+4}

x(y+4)=3y+2

xy+4x=3y+2

xy-3y=2-4x

y(x-3)=2-4x

y=\frac{2-4x}{x-3}

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3 years ago
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Evaluate the given algebraic expressions replacing x with -2 and y with 1<br><br>3x^2
Anvisha [2.4K]

Answer:

12

Step-by-step explanation:

3x^2

because the information provided states that x = -2, that is what we are going to replace x with.

3(-2)^2

the next step is to evaluate the power because that is next in PEMDAS.

(-2)^2 = 4

that leaves us with:

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hope this helps!

3 0
1 year ago
M&lt;2 = 34. Find m&lt;4 and explain how you know.
Basile [38]

Answer:

m<4 = 34°

Step-by-step explanation:

m<2 = 34° (given)

m<3 + m<2 = 180° (linear pair)

m<3 + 34° = 180° (substitution)

Subtract 34° from each side

m<3 = 180° - 34°

m<3 = 146°

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m<4 + 146° = 180° (substitution)

Subtract 146° from each side

m<4 = 180° - 146°

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3 years ago
PLEASE HELP TIMED TEST
Paraphin [41]

Answer:

8

Step-by-step explanation:

How many more unit tiles must be added to the function

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The easier, but usually not viable way: If we look at how many more tiles need to be added, we can see that each smaller sides is 1 unit. Thus, we need 8 more tiles to complete the square.

However, this is just an educated guess. If we didn't have a diagram or it was drawn badly, we would be wrong. Let's solve it algebraically.

Note:

completing the square is changing a quadratic equation (the format is

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This may be confusing, but look at an example:

x² + 4x + 4 = (x + 2)²

Also note that, (a - b)² = a² - 2ab + b²

If we substitute a = x, then we get:

x² - 2bx + b².

Now, all we need to do is find b.

If we know that 2bx = 6x, then we can divide both sides by 2x and get an answer of

2bx = 6x

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Thus, b is 3.

Remember, to complete the square, we need to find b², which is

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Then, because they already give us a "1", we just need to add 9-1 = 8 more units.

Just in case, let's check the answer.

If we add 8 to the problem, we get:

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As you can see, this follows the a² - 2ab + b² format, so we can factor it.

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