- - - - - -_is_equivalent_to - - - ~ 90y^5 −54y^4 The expression ry^4 15y−9 (), where r is a constant. What is the value of r?
Correct answer: 6 (parsed from the explanation — this source omits an answer key for this item)
Explanation
The correct answer is 6. Applying the distributive property to the expression 4 15 -9 15 5-9 4 90 5-54 4 4 15 -9 ry ^ y h yields ry ry . Since y y is equivalent to ry ^ y h, it 90 5-54 4 15 5-9 4 follows that y y is also equivalent to ry ry . Since these expressions are equivalent, it follows that corresponding coefficients are equivalent. 90=15 -54=-9 Therefore, r and r. Solving either of these equations for r will 90=15 15 = yield the value of r. Dividing both sides of r by yields 6 r. Therefore, the value of r is 6.
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