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2 years ago

Simplify: x + (x-y) + y + (y-x )

Mathematics

1 answer:

AnnyKZ [126]2 years ago

3 0

Answer:

x + y

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Algebra I

Terms/Coefficients

Step-by-step explanation:

Step 1: Define

x + (x - y) + y + (y - x)

Step 2: Simplify

Combine like terms (x): x - y + y + y
Combine like terms (y): x + y

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vitfil [10]

The perpendicular bisector of the segment passes through the midpoint of this segment. Thus, we will initially find the midpoint P:

$P=\dfrac{(1,5)+(7,-1)}{2}=\dfrac{(8,4)}{2}=(4,2)$

Now, we will calculate the slope of the segment support line (r). After this, we will use the fact that the perpendicular bisector (p) is perpendicular to r:

$m_r=\dfrac{\Delta y}{\Delta x}=\dfrac{5-(-1)}{1-7}=\dfrac{6}{-6}\iff m_r=-1$

$p\perp r\Longrightarrow m_p\cdot m_r=-1\Longrightarrow m_p\cdot(-1)=-1\iff m_p=1$

We can calculate the equation of p by using its slope and its point P:

$y-y_P=m_p(x-x_P)\\\\
y-2=1\cdot(x-4)\\\\
y-2=x-4\\\\
\boxed{p:~~y=x-2}$

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3 years ago

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kati45 [8]

Answer:

Step-by-step explanatio

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Step-by-step explanation:

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Nesterboy [21]

Answer:

x = $-\frac{3}{b}$

x = -1

Step-by-step explanation:

The given equation is,

-2(bx - 5) = 16

Dividing by (-2) on both sides of the equation,

$\frac{-2(bx-5)}{(-2)}=\frac{16}{(-2)}$

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Dividing by 'b' on both the sides of the equation,

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2 years ago

Evaluate: [5(2-6)+3(8÷4)^2]^2

ludmilkaskok [199]

The answer you're looking for will be,

ANSWER: 64.

Steps:
To get this answer, follow the PEMDAS order of operations.

PEMDAS: Parenthesis, Exponents, Multiply, Divide, Add, Subtract.
(IN ORDER IF POSSIBLE)

I hoped this helped, you're welcome :)

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