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3 years ago

Is xy= 60 a direct variation or inverse variation

Mathematics

1 answer:

kirill115 [55]3 years ago

4 0

Answer:

<h2>Inverse variation</h2>

Step-by-step explanation:

Direct variation:

$\dfrac{y}{x}=constant$

Inverse variation:

$xy=constant$

We have

$xy=60$

it's an inverse variation.

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Expand and simplify 4(x-2)+7(x-1)

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Answer:

11x-15

Step-by-step explanation:

4x-8+7x-7

11x-15

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3 years ago

Is (1, 2) a solution to the inequality 6x - y> 3?

Lostsunrise [7]

Answer:

Yes.

Step-by-step explanation:

To find the answer we will put it into the equation, since x = 1 and y = 2 we will write it like this, 6(1) - 2 > 3. Since 6 x 1 = 6, we will now subtract 6 from 2 which equals 4. Therefore, the equation is correct because 4 is bigger than 3.

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3 years ago

In algebra, we use a(n) to represesent a veriable

nekit [7.7K]

Answer:

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Step-by-step explanation:

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3 years ago

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The points (4,7) and (r. – 5) lie on a line with slope – 3. Find the missing coordinate r

dusya [7]

Answer:

$r=\frac{14}{3}$

Step-by-step explanation:

Set up an equation and solve for r using the formula for slope:

$\frac{5-7}{r-4}=-3\\ \\-2=-3(r-4)\\\\-2=-3r+12\\\\-14=-3r\\\\\frac{14}{3}=r$

7 0

2 years ago

Solve for w, where w is a real number.

Ber [7]

Answer:

w= 9

Step-by-step explanation:

$\sqrt{ - 4w + 61} = w - 4$

Square both sides:

-4w +61= (w -4)²

$\boxed{(a - b)^{2} = a^2 -2ab + b^2 }$

Expand:

-4w +61= w² -2(w)(4) +4²

-4w +61= w² -8w +16

Simplify:

w² -8w +16 +4w -61= 0

w² -4w -45= 0

Factorize:

(w -9)(w +5)= 0

w -9= 0 or w +5= 0

w= 9 or w= -5 (reject)

Note:

-5 is rejected since we are only taking the positive value of the square root here. If the negative square root is taken into consideration, then w= -5 would give us -9 on both sides of the equation.

Why do we use negative square root?

When solving an equation such as x²= 4,

we have to consider than squaring any number removes the negative sign i.e., the result of a squared number is always positive.

In the case of x²= 4, x can be 2 or -2. Thus, whenever we introduce a square root, a '±' must be used.

However, back to our question, we did not introduce the square root so we should not consider the negative square root value.

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2 years ago

Read 2 more answers