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Gnesinka [82]
2 years ago
13

Write a conditional statement that correctly describes each venn diagram in the space provided?

Mathematics
1 answer:
MakcuM [25]2 years ago
7 0
Remember that a conditional statement (p→q) is an if-then in which the first part, p, is the hypothesis and the second part, q, is the conclusion. 

1. Here the set m<span>∠A=40° is a subset of the set Acute Angles, so </span>m∠A=40° is the hypothesis and Acute Angles is the conclusion. 
In other words:
m∠A=40°→∠A is an Acute Angle 
if m∠A=40°, then ∠A is an Acute Angle

We can conclude that the conditional statement that describes the Venn diagram is: if m∠A=40°, then ∠A is an Acute Angle

2. Just like before, the set 2x=4 is a subset of the set x=2; therefore, 2x=4 is the hypothesis and x=2 is the conclusion.
In other words:
2x=4→x=2
if 2x=4, then x=2

We can conclude that the conditional statement that describes the Venn diagram is: if 2x=4, then x=2
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Answer:

  -5/4 +i(√2)/4 and -5/4 -i(√2)/4

Step-by-step explanation:

I find simplest form to be easier to get to if the leading coefficient is 1. Dividing by 16, we have ...

  x^2 +5/2x +27/16 = 0

Completing the square by adding and subtracting the square of half the x-coefficient, we get ...

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Subtracting 2/16, taking the square root, and subtracting 5/4 gives ...

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The roots are -5/4 +i(√2)/4 and -5/4 -i(√2)/4.

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