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3 years ago

13

Simplify: (3x2 − 8xy + y2) − (7x2 − 4xy − 5y2)

2 answers:

mrs_skeptik [129]3 years ago

7 0

Answer:

-4xy - 8x + 12y

Katena32 [7]3 years ago

6 0

Answer:

$-4x^{2} -4xy+6y^{2}$

Step-by-step explanation:

(3x2 − 8xy + y2) − (7x2 − 4xy − 5y2)

First, we remove the parenthesses. We can just remove the first parnthesses because there isn't any sign before them. When removing the second ones, we will change the sign of every term in it. It becomes:

$3x^{2} -8xy+y^{2} -7x^{2} +4xy+5y^{2}$

Now we will combine the like terms. That means that we will subtract 7x2 from 3x2, add 4x to -8x etc.

$-4x^{2} -4xy+6y^{2}$

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4 years ago

[(23 × 2.5) , 1 2] + 120<br> Please solve

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John was visiting four cities that form a rectangle on a coordinate grid at A(0, 4), B(4, 2), C(1, -4) and D(-3, -2). What is th

allsm [11]

Answer:

$Area = 30$

Step-by-step explanation:

Given

Rectangle coordinates

$A = (0,4)$

$B = (4,2)$

$C = (1,-4)$

$D =(-3,-2)$

Required

The area of the rectangle

The area is calculated as:

$Area = Length* Width$

The length of the rectangle will be represented as:

$Length = AB = CD$

And the width is:

$Width = BC = AD$

Calculate distance AB using:

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

Where:

$A = (0,4)$ --- $(x_1,y_1)$

$B = (4,2)$ $--- (x_2,y_2)$

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

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

$AB = \sqrt{16 +4 }$

$AB = \sqrt{20}$

Calculate distance BC using:

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

$C = (1,-4)$ $---(x_1,y_1)$

$B = (4,2)$ $--- (x_2,y_2)$

$BC = \sqrt{(1 - 4)^2 +(-4 - 2)^2 }$

$BC = \sqrt{(- 3)^2 +(-6)^2 }$

$BC = \sqrt{9 +36}$

$BC = \sqrt{45}$

So, the area is:

$Area = Length * Width$

$Area = AB * BC$

$Area = \sqrt{20} * \sqrt{45}$

$Area = \sqrt{20 * 45}$

$Area = \sqrt{900$

$Area = 30$

4 0

3 years ago