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g100num [7]
3 years ago
10

What is the standard form of (1-3i)(2+5i)

Mathematics
1 answer:
artcher [175]3 years ago
3 0

Answer:

17 - i

Step-by-step explanation:

<u>Step 1:  FOIL out</u>

(1 - 3i)(2 + 5i)

(2) + (1 * 5i) + (-3i * 2) + (-3i * 5i)

2 + 5i - 6i - 15i^2

2 - i + 15

<em>17 - i</em>

<em />

Answer: 17 - i

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What are the converse, inverse, and contrapositive of the following true conditional? What are the truth values of each?
ser-zykov [4K]
<span>In logic, the converse of a conditional statement is the result of reversing its two parts. For example, the statement P → Q, has the converse of Q → P.

For the given statement, 'If a figure is a rectangle, then it is a parallelogram.' the converse is 'if a figure is a parallelogram, then it is rectangle.'
As can be seen, the converse statement is not true, hence the truth value of the converse statement is false.
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The inverse of a conditional statement is the result of negating both the hypothesis and conclusion of the conditional statement. For example, the inverse of P <span>→ Q is ~P </span><span>→ ~Q.
</span><span><span>For the given statement, 'If a figure is a rectangle, then it is a parallelogram.' the inverse is 'if a figure is not a rectangle, then it is not a parallelogram.'
As can be seen, the inverse statement is not true, hence the truth value of the inverse statement is false.</span>
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The contrapositive of a conditional statement is switching the hypothesis and conclusion of the conditional statement and negating both. For example, the contrapositive of <span>P → Q is ~Q → ~P. </span>
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As can be seen, the contrapositive statement is true, hence the truth value of the contrapositive statement is true.</span> </span>
4 0
3 years ago
Julia is going for a walk through the neighborhood. What unit of measure is most appropriate to describe the distance she walks?
Kryger [21]

Answer:

Possibly meters or feet/yards.

A walk through a neighborhood would be less than a mile/kilometer but much further than an inch/centimeter.


8 0
3 years ago
Read 2 more answers
Need help with number 2
salantis [7]
HHUBUHUHUHUHUHUHUHUHUHUHUHUHUHUHUHUHUHUHUHUHUHUHUHUUHUHUHUHUHUHUHU
7 0
3 years ago
Write 6 11/13 as an improper fraction.
hoa [83]

Answer:

89/13

Step-by-step explanation:

Step 1:

Multiply the denominator by the whole number

13 × 6 = 78

Step 2

Add the answer from Step 1 to the numerator

78 + 11 = 89

Step 3

Write answer from Step 2 over the denominator

89/13

3 0
3 years ago
if Ingles 2 and 14 are congruent then line T and then you are parallel what is the theorem to this question ​
Nostrana [21]

Answer:

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Step-by-step explanation:

7 0
3 years ago
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