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gizmo_the_mogwai [7]
2 years ago
12

16=-2p-18 what does p =​

Mathematics
2 answers:
umka21 [38]2 years ago
7 0

Given:

  • 16 = -2p - 18

To Find:

  • p = ?

Solution:

\longrightarrow  \:  \:  -16 = -2p -18

Combining like terms:

\longrightarrow  \:  \:  - 2p =  - 18 - 16

Adding the numbers:

\longrightarrow  \:  \: -2p = -34

\longrightarrow  \:  \:  p =  \dfrac{  -  34}{2}

Dividing -terms that are in both the numerator and denominator:

\longrightarrow  \:  \:  p =   - 17

\therefore Value of p is -17

rodikova [14]2 years ago
4 0
Add 18 to both sides

16+18=2p

Simplify 16+18 to 34
34=2p

Divide both sides by 2
34/2=P

Simplify 34/2 to 17

17=P


Therefore your answer is
P=17
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2) \frac{a + i\,b}{c + i\,d} \cdot 1 Modulative property.

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4) \frac{(a+i\,b)\cdot (c - i\,d)}{(c+i\,d)\cdot (c - i\,d)}   \frac{x}{y}\cdot \frac{w}{z} = \frac{x\cdot w}{y\cdot z}  

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7) \frac{a\cdot c +i\,(-a\cdot d) + i\,(b\cdot c) +(-i^{2})\cdot (b\cdot d)}{c^{2}+i\,(c\cdot d)+[-i\,(c\cdot d)] +(-i^{2})\cdot d^{2}} Definition of power/Associative and commutative properties/x\cdot (-y) = -x\cdot y/Definition of subtraction.

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Step-by-step explanation:

Let be a rational complex number of the form z = \frac{a + i\,b}{c + i\,d}, we proceed to show the procedure of resolution by algebraic means:

1) \frac{a + i\,b}{c + i\,d}   Given.

2) \frac{a + i\,b}{c + i\,d} \cdot 1 Modulative property.

3) \left(\frac{a+i\,b}{c + i\,d} \right)\cdot \left(\frac{c-i\,d}{c-i\,d} \right)   Existence of additive inverse/Definition of division.

4) \frac{(a+i\,b)\cdot (c - i\,d)}{(c+i\,d)\cdot (c - i\,d)}   \frac{x}{y}\cdot \frac{w}{z} = \frac{x\cdot w}{y\cdot z}  

5) \frac{a\cdot (c-i\,d) + (i\,b)\cdot (c-i\,d)}{c\cdot (c-i\,d)+(i\,d)\cdot (c-i\,d)}  Distributive and commutative properties.

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7) \frac{a\cdot c +i\,(-a\cdot d) + i\,(b\cdot c) +(-i^{2})\cdot (b\cdot d)}{c^{2}+i\,(c\cdot d)+[-i\,(c\cdot d)] +(-i^{2})\cdot d^{2}} Definition of power/Associative and commutative properties/x\cdot (-y) = -x\cdot y/Definition of subtraction.

8) \frac{(a\cdot c + b\cdot d) +i\cdot (b\cdot c -a\cdot d)}{c^{2}+d^{2}} Definition of imaginary number/x\cdot (-y) = -x\cdot y/Definition of subtraction/Distributive, commutative, modulative and associative properties/Existence of additive inverse/Result.

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