Answer:
-4a + 16b -12c -12d
Step-by-step explanation:
Given: From 4a + 7b - 12c subtract 8a - 9b + 12d.
We are given two algebraic expression. We can add/subtract only the like terms.
(4a + 7b -12c) - (8a -9b +12d)
Now we have distribute the negative sign inside the second expression (8a -9b +12b). If we do, the sign changes.
4a + 7b -12c -8a + 9b -12d [Sign rule: -(-) = +; -(+) = -]
Now we can combine the like terms
= (4a - 8a) +(7b + 9b) -12c -12d
= -4a + 16b -12c -12d
The answer to your first question would be B, because in the word problem it says that she buys 6 pots, so therefore we can eliminate A and C. We are left with B and D. Now looking at the second equation, we see that x represents the 5 inch pots, which are $12. This would mean 12x, because if she bought 1 5 inch pot, she would spend $12, and the same way, 10 inch pots are represented by y, or $15. Pretty much, multiply the number of 10 inch pots she buys by 15. Therefore the answer is B.
Question 3 says that the sum of their ages are 105. So the first equation should be S + R = 105. The second part of the question says that Sara is 33 years younger than Rolando. This means 33 + Sara's age, represented by S, should equal Rolando's age. That is S + 33 = R.
Hope this helps. Please rate, leave a thanks, and mark a brainliest answer (Not necessarily mine). Thanks, it really helps! :D
<span>
<u><em>Answer:</em></u>8.4 square units
<u><em>Explanation:</em></u><u>The area of the triangle can be calculated using two sides and an included angle as follows:</u>
area = 0.5 * 1st side * 2nd side * sin(angle included between them)
............> This is shown in the attached image
<u>In the given triangle, we have:</u>
the two sides 2*</span>√2<span> and 6 units
the angle included between them is 80</span>°<span>
Therefore, we can apply the above rule to get the area as follows:
area = 0.5 * 2</span>√2 <span>*6* sin(80</span>°<span>)
area = 8.35 which is approximately 8.4 square units
Hope this helps :)</span>