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2 years ago

8

What are the steps to (5xy^3)^2(xy)^4?

1 answer:

trapecia [35]2 years ago

3 0

Answer:

25x^6 y^10

Step-by-step explanation:

Simply: (5xy^3)^2: 25x^2 y^6

25x^2 y^6 (xy)^4

Apply exponent rule: (a * b)^n = a^n b^n

(xy)^4 = x^4 y^4

25x^2 y^6 x^4 y^4

Simply: x^2 x^4: y^10

25x^6 y^6 y^4

Simply: y^6 y^4: y^10

25x^6 y^10

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Find the value of B - A if the graph of Ax + By = 3 passes through the point (-7, 2), and is parallel to the graph x + 3y = -5.

Elena-2011 [213]

Answer:

$B - A = -6$

Step-by-step explanation:

Given

Point: (-7,2)

x + 3y = -5

Required

Find B- - A in Ax + By = 3

To start with; we need to calculate the slope of x + 3y = -5

$x + 3y = -5$

Subtract x from both sides

$x - x + 3y = -5 - x$

$3y = -5 - x$

Divide both sides by 3

$\frac{3y}{3} = -\frac{5}{3} - \frac{x}{3}$

$y = -\frac{5}{3} - \frac{x}{3}$

The slope of the line is the coefficient of x

Slope = $- \frac{1}{3}$

The question says line Ax + By = 3 is parallel to line x + 3y = -5; This means that they have the same slope of $- \frac{1}{3}$

Having calculated the slope, next is to calculate the equation of the line using the following formula;

$m = \frac{y - y_1}{x - x_1}$

Where m is the slope; m = $- \frac{1}{3}$ ; $(x_1, y_1) = (-7,2)$

Substitute these values in the formula above; the formula becomes

$-\frac{1}{3} = \frac{y - 2}{x - -7}$

$-\frac{1}{3} = \frac{y - 2}{x +7}$

Cross Multiply

$-1(x+7) = 3(y-2)$

Open brackets

$-x - 7 = 3y - 6$

Add x to both sides

$x - x - 7 = 3y - 6 + x$

$-7 = 3y - 6 +x$

Add 6 to both sides

$-7 + 6 = 3y -6 + 6 + x$

$-1 = 3y + x$

Multipby both sides by -3

$-3(-1) = -3(3y + x)$

$3 = -9y - 3x$

$-9y - 3x = 3$

$-3x - 9y = 3$

Comparing the above to Ax + By = 3

$Ax = -3x\\A = -3$

$By = -9y\\B = -9$

$B - A = -9 - (-3)$

$B - A = -9 + 3$

$B - A = -6$

3 0

3 years ago

Simplify 2- 5/8 and -2 3/5 A. -6 33/40 B. 4- 3/8 C. 4 3/8 d. 6 33/40

worty [1.4K]

Answer:

Step-by-step explanation:

Convert mixed fraction to improper fraction.

$-2\dfrac{5}{8}*(-2\dfrac{3}{5})=\dfrac{-21}{8}*\dfrac{-13}{5}\\$

$=\dfrac{(-21)*(-13)}{8*5}\\\\\\=\dfrac{273}{40}\\\\=6\dfrac{33}{40}$

4 0

2 years ago

What is the result of converting 6 inches into centimeters

Tanya [424]

The answer would be 15.24cm

3 0

3 years ago

Read 2 more answers

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Nitella [24]

All we have to do is subtract -2 - 4 and we get -6, and multiply -6 * 8 to get our answer.

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3 years ago

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k0ka [10]

Step-by-step explanation:

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2 years ago