Complete question:
<em>What values of c and d would make the following expression represent a real number? i(2 + 3i)(c + di)
</em>
<em>choices: A)c = 2, d = 3 B)c = –2, d = 3 C)c = 3, d = –2 D)c = –3, d = –2</em>
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<em>Option D</em><em> is correct. </em> The value of c and d for the expression to be real are -3 and -2 respectively
Given the expression
Expand the expression
Collect the like terms
For the resulting function to be real, then the imaginary part must be zero i.e.
If d = -2, then;
Hence the value of c and d for the expression to be real are -3 and -2 respectively.
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The congruence statement and the rule used is: ΔTIG ≅ ΔAIN by SAS.
<h3>The Side-Angle-Side Congruence Theorem</h3>
- It is also referred to as the SAS Congruence Theorem.
- SAS Congruence Theorem is used to show that two triangles, with two pairs of congruent sides and a pair of congruent included angles, are congruent.
Thus, in the image shown below, ΔTIG and ΔAIN have:
two pairs of congruent sides - TI ≅ NI and GI ≅ AI.
one pair of congruent included angles - ∠TIG ≅ ∠AIN
Therefore, the congruence statement and the rule used is: ΔTIG ≅ ΔAIN by SAS.
Learn more about the SAS Congruence Theorem on:
brainly.com/question/13408604
Answer:
(1) reducing home prices—deflation; (2) reducing the rate at which the currency exchanges for other currencies—depreciation/devaluation.
Explanation:
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