The answer is: " 9a² + 7a " .
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Note: (3a)² + 7a = (3a)*(3a) + 7a = 9a² + 7a .
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The domain of the function is x > 0 and the range of the function is -∞ < f(x) < ∞
<h3>How to determine the domain?</h3>
The table represents a logarithmic function.
The domain represents the set of x values.
From the table, we can see that all the x values are positive values i.e. x > 0
Hence, the domain of the function is x > 0
<h3>How to determine the range?</h3>
From the table, the table outputs all zero, positive and negative numbers
This means that the range is the set of all real numbers.
Hence, the range of the function is -∞ < f(x) < ∞
Read more about domain and range at:
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Two triangles are said to be <u>congruent</u> if they have <em>similar</em> properties. Thus the required <u>options</u> to complete the <em>paragraph proof</em> are:
a. angle 1 is <u>congruent</u> to angle 2.
b. <em>alternate</em> angles are <u>congruent</u> if two parallel lines are cut by a <em>transversal</em>.
c.
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The <em>similarity property</em> of two or more shapes implies that the <u>shapes</u> are congruent. Thus they have the <em>same</em> properties.
From the given <u>diagram</u> in the question, it can be deduced that
ΔABC ≅ ΔABE (<em>substitution</em> property of equality)
Given that EA is <u>parallel</u> to BD, then:
i. <2 ≅ <3 (<em>corresponding</em> angle property)
ii. <1 ≅ < 4 (<em>alternate</em> angle property)
Thus, the required options to complete the <em>paragraph proof</em> are:
- Angle 1 is <em>congruent</em> to angle 2.
- Alternate angles are <u>congruent</u> if two parallel lines are cut by a <em>transversal</em>.
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For more clarifications on the properties of congruent triangles, visit: brainly.com/question/1619927
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