Answer:
There are two ways to solve this question. The faster way is to multiply each side of the given equation by ax−2 (so you can get rid of the fraction). When you multiply each side by ax−2, you should have:
24x2+25x−47=(−8x−3)(ax−2)−53
You should then multiply (−8x−3) and (ax−2) using FOIL
("First, Outer, Inner, Last")
24x2+25x−47=−8ax2−3ax+16x+6−53
Then, reduce on the right side of the equation
24x2+25x−47=−8ax2−3ax+16x−47
Since the coefficients of the x2-term have to be equal on both sides of the equation, −8a=24, or a=−3.
The other option which is longer and more tedious is to attempt to plug in all of the answer choices for a and see which answer choice makes both sides of the equation equal. Again, this is the longer option, and I do not recommend it for the actual SAT as it will waste too much time.
soo the final answer is B -3
By applying Pythagorean' theorem, the value of tanP is equal to 3/4.
<h3>How to determine the value of tan P?</h3>
Since triangle PQR has right-angle Q and sinR = 4/5, we have:
sinR = Opp/hyp = 4/5
tanP = Opp/Adj = QR/4
Next, we would determine the length of QR by applying Pythagorean' theorem:
PR² = QR² + PQ²
5² = QR² + 4²
25 = QR² + 16
QR² = 25 - 18
QR = √9
QR = 3 units.
For the value of tanP, we have:
tanP = 3/4.
Read more on Pythagorean theorem here: brainly.com/question/23200848
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The lines from the passage refers to a change in Theodora's attitude towards divorce law.
She made some amendments to the law in order to provide benefit to young girls who are suffering from masculine powers.
She was also against the girls trafficking and she saved young girls from being victim of human trafficking. She was the first ruler to recognize rights of woman.
Learn more at brainly.com/question/25467739