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2 years ago

If x^2 - 6xy = z - 9y^2, make x the subject of the formula

1 answer:

4 0

$~~~~x^2-6xy=z-9y^2\\\\\implies x^2- 2\cdot x\cdot 3y + (3y)^2 - (3y)^2 = z-9y^2\\ \\\implies (x-3y)^2 -9y^2 = z-9y^2\\\\\implies (x-3y)^2 = z\\\\\implies x - 3y =\pm\sqrt z\\\\\implies x = 3y\pm\sqrt z$

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Determine the midpoint between the two points x(4,-6) and y(-2,8)

ikadub [295]

Answer:

$p(a, b) = (1, 1)$

Step-by-step explanation:

Midpoint formula is

$p(a, b)=(\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2} )$ ---------------(1)

Here

$(x_1, y_1) = (4, -6) \ \ \ and \ \ \ (x_2, y_2) = (-2, 8)$

Substituting values in equation (1)

$p(a, b)=(\frac{4 - 2}{2}, \frac{-6 + 8}{2} )$

$p(a, b) = (1, 1)$

6 0

3 years ago

Genevieve wants to verify that }(5x-20)-(4x-8) is equivalent to x. Which procedure can Genevieve follow to determine if

Gnom [1K]

They aren't equivalent

<h2>Explanation:</h2>

In order to determine whether the expression:

$(5x-20)-(4x-8)$

is equivalent to:

$x$

Genevieve needs to follow these steps:

Step 1. Get rid parentheses

$5x-20-4x+8$

Step 2. Combine like terms

$5x-4x-20+8$

Step 3. Solve

$x-12$

So:

$x\neq x-12$

Therefore, these two expressions aren't equivalent.

<h2>Learn more:</h2>

Writing expressions: brainly.com/question/13894833#

#LearnWithBrainly

4 0

3 years ago

Read 2 more answers

The upper-left coordinates on a rectangle are (-6,0)(−6,0)left parenthesis, minus, 6, comma, 0, right parenthesis, and the upper

nikklg [1K]

Answer:

See attachment for rectangle

Step-by-step explanation:

Given

$A = (-6,0)$

$B = (-4,0)$

$Area = 12$

Required

Draw the rectangle

First, we calculate the distance between A and B using distance formula;

$AB = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}$

So, we have:

$AB = \sqrt{(-6 - -4)^2 + (0- 0)^2}$

$AB = \sqrt{(-2)^2 + (0)^2}$

$AB = \sqrt{4 + 0}$

$AB = \sqrt{4}$

$AB = 2$

The above represents the length of the triangle.

Next, calculate the width using:

$Length * Width = Area$

$2* Width = 12$

Divide both sides by 2

$Width = 6$

This implies that, the width of the rectangle is 6 units.

We have:

$A = (-6,0)$

$B = (-4,0)$

Since A and B are at the upper left and right, then the ther two points are below.

6 units below each of the above point are:

$C = (-6,0-6)\\$ => $C = (-6,-6)$

$D = (-4,0-6)$ => $D = (-4,-6)$

Hence, the points of the rectangle are:

$A = (-6,0)$

$B = (-4,0)$

$C = (-6,-6)$

$D = (-4,-6)$

<em>See attachment for rectangle</em>

6 0

3 years ago

Choose the number that has the digit 5 with value thats is 10 times less than the value of the digit 5 in This number is 54,271

kondaur [170]

54,271 is the answer

8 0

3 years ago

Find the sales tax. Then find the total cost of the item. Sales Tax Selling Price Rate of Sales Tax Sales Tax $60.00 8% ? The sa

BlackZzzverrR [31]

Answer: Sales tax is $4.80 and the total cost is $64.80

Step-by-step explanation: Take the difference in the total before and after tax and divide by the price before tax.

To get $4.80, find the sales tax of $60.00 of 8%

We can use this formula: (selling price x sales tax rate)

The sales tax is: $4.80

To find the total cost, add 60.00 by the sales tax. ($4.80)

60.00 + 4.80 = $64.80

Therefore, these are your answers: $4.80 and $64.80

7 0

2 years ago

Read 2 more answers