Answer:
Step-by-step explanation:
We have been given an indefinite integral as 
. We are asked to find the given integral.
Let us solve our given problem.
Take out constant:
Therefore, our required integral would be .
Answer:
[7-2x+5y-(x-y) -[5x+3y-7]
= 7-2x+5y-x+y-5x-3y+7
=7+7-2x-x-5x+5y+y-3y
=14-8x+3y
=-8x+3y+14
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
<u>Definition:</u> Two rectangles are similar when they have corresponding sides proportional are proportional by dilation.
For example, rectangles with sides 3 cm, 4cm and 6 cm, 8 cm are similar, but rectangles with sides 3 cm, 4 cm and 6 cm, 10 cm are nor similar.
Since all angles in rectangle are always right angles, then options A and C are false (in terms of your question).
Option D is false too, because translation doesn't change the length, and in this case two rectangles are congruent.
Option B is true according to definition.
Answer: Company A would be a better deal for number of minutes over 200
Step-by-step explanation:
Let x represent the number of minutes that you would use with either company A or company B.
Company A has a monthly charge of $10 plus 5¢ a minute for each minute of long distance calls. It means that the cost of x minutes of long distance call is
10 + 0.05x
Company B has a monthly charge of $8 plus 6¢ a minute for long distance calls. It means that the cost of x minutes of long distance call is 10 + 0.05x
8 + 0.06x
For Company A to be a better deal, it means that
10 + 0.05x < 8 + 0.06x
10 - 8 < 0.06x - 0.05x
2 < 0.01x
0.01x > 2
x > 2/0.01
x > 200
