Answer:
B
Step-by-step explanation:
If you use the general equation for an arithmetic sequence,
,
where aₙ is the number of minutes for movie n,
a₁ is the length of the first movie in minutes, and
d is the difference between each movie, in minutes
Our sequence is this:
If we want the length of the second movie (we already know the length of the first), we fill in n with 2:
which gives us a length of 72. Now for the length of movie n = 3:
which gives us a length of 74. Now for the length of movie n = 4:
which gives us a length of 76. One more and I'm sure you'll notice the pattern:
which gives us a length of 78. Now we will find the length of the 14th movie and add up by 2's all the way up to that number of minutes:
which gives up a length of 96 minutes. We will add up by 2's from 70 to 96:
Answer:
Matching sides of two or more polygons are called corresponding sides, and matching angles are called corresponding angles. If two figures are similar, then the measures of the corresponding angles are equal and the ratios of the lengths of the corresponding sides are proportional.
Step-by-step explanation:
The answer should be y=x-2. To solve other questions like these, find the y-intercept on the y-axis and use rise over run to count the slope between the points. Here it rises 3 and runs 3, simplifying to one. The y-axis crosses at -2. Plug this into y=mx+b and you get y=x-2
1. The complex number 6 + 7i has
- real part 6;
- imaginary part 7.
2. The complex number 10 + 2i has
- real part 10;
- imaginary part 2.
3. When we add two complex numbers, we add real parts and imaginary parts separately:
(6+7i)+(10+2i)=(6+10)+(7+2)i=16+9i.
Answer: 16+9i
