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bixtya [17]
3 years ago
14

Factorise: (x - 2y)2 - 12(x - 2y) + 32

Mathematics
1 answer:
Vedmedyk [2.9K]3 years ago
4 0

Hi there.

The answer is (x-2y-8)(x-2y-4)

Explanation:

(x - 2y)^{2}  - 12(x - 2y) + 32

Let (x-2y) = x

{x}^{2}  - 12x + 32

Then factor the quadratic polynomial by 2 brackets factoring.

(x - 8)(x - 4)

Then convert x to (x-2y)

(x - 2y - 8)(x - 2y - 4)

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Using a graphical method, solve the simultaneous equations x+y =4 and y=2x+1
adoni [48]

Answer:

(1, 3)

Step-by-step explanation:

Given the expression

x+y = 4 ... 1

y = 2x+1 ....2

Substitute equation 2 into 1

x + (2x+1) = 4

3x + 1 = 4

3x = 4-1

x = 3/3

x = 1

Since y = 2x + 1

y = 2(1) + 1

y = 3

Hence the solution to the equation is (1,3). This means that the coordinate point on the graph where both lines intersect will be at (1, 3)

7 0
3 years ago
Please provide all steps given to find the answer. Thanks!!!<br> Simplify: 5(2x+9)²
gulaghasi [49]

Answer:

20x²+180x + 405

Step-by-step explanation:

Follow PEMDAS to know what you do first

square (2x + 9) by foiling

(2x+9) (2x + 9)

= 4x²+ 36x + 81

Multiply by 5

20x²+180x + 405

4 0
3 years ago
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Which could be the dimensions of a rectangular prism whose surface area is less than 160 square feet? Select two options
Hunter-Best [27]

Answer:

8 4 3 and 7 6 4 my chat is devanson1

5 0
3 years ago
I need this answered its due soon
mixer [17]
<h2><u>C D E</u></h2>

A is false because this graph doesn't have any relative minimums because it never increases

B is false because this graph never increases

C is true

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7 0
2 years ago
Graph the line with slope 1/4 and y-intercept -8
kherson [118]

Solution: Below! ^^

Detailed explanation:

Hii! I'm sorry, I can't graph the line for you, but I'll try to give you the best possible explanation.

First, note that the question provides us with the info that the y intercept is -8. This is a very valuable piece of information!

This means that the line crosses the y axis (since it's the y intercept) at the point (0,-8). Plot it on the co-ordinate plane.

Next, this question also provides us with the fact that the slope of the line is 1/4. This is yet another valuable piece of information!

What this tells us is: from that point (0,-8), you need to go up 1 unit, then over 4, and so forth, until you obtain a line.

_________

Hope I helped, best wishes & happy studies!

Please reach out to me if any queries arise.

_________

5 0
2 years ago
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