What algebraic expression must be added to the sum of 3x2 +4x+8 and 2x2−6x+3 to give 9x2−2x−5 as the result?
1 answer:
4x² - 16 is the algebraic expression that must be added to get the result as 9x²- 2x - 5.
<u>Step-by-step explanation: </u>
The question is asked for the algebraic expression must be added to the sum of 3x²+4x+8 and 2x2−6x+3 to give 9x²- 2x - 5 as the result.
Therefore,
The first step is to find of sum of 3x²+4x+8 and 2x²-6x+3.
To find the sum :
3x²+4x+8
<u>2x²-6x+3 </u>
<u>5x²-2x+11</u>
The sum is 5x²-2x+11.
Now, the second step is to subtract 5x²-2x+11 from the result 9x²- 2x - 5 .
9x²- 2x - 5
- <u>(5x²-2x+11)</u>
<u> 4x² -16 </u>
Thus, 4x²-16 is the algebraic expression that must be added with 5x²-2x+11 to get a result of 9x²- 2x - 5.
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Answer:
7y + 3 = 3x + 11
7y = 3x + 11 - 3
7y = 3x + 8
y = 3x + 8 / 7
7y + 3 = 3x + 11
7y + 3 - 11 = 3x
7y - 8 = 3x
x = 7y - 8 / 3
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Answer:
AE= 8
Step-by-step explanation:
The parallelogram forms two right triangles and since it's a parallelogram the opposite angles are congruent meaning you can say the triangles are similar through AA~. The ratio is 2:3 and FA =12 making AE= 8
