Answer:
sqrt(65)
Step-by-step explanation:
|a+bi|
The absolute value of |a+bi| = sqrt(a^2+b^2)
|4+7i| = sqrt(4^2+7^2) = sqrt(16+49) = sqrt(65)
<span>There are 60 seconds in a minute.
To find out how many copies in a second, divide 36 by 60.
That is 0.6
Then you would calculate to see how much in 15 seconds,
0.6 times 15
9 copies in 15 seconds
then multiply 36 * 4 to see how many in minutes
144 copies in 4 minutes
153 copies in 4 minutes and 15 seconds.
Hope this helps :)
</span>
The answer is B. h=<span>V<span>2π<span>r<span>2</span></span></span></span>
Answer:
<u>Answer</u><u>:</u><u> </u><u>y</u><u> </u><u>=</u><u> </u><u>2</u><u>x</u><u> </u><u>+</u><u> </u><u>8</u>
Step-by-step explanation:
• General equation of a line:
![\hookrightarrow \: { \rm{y = mx + b}}](https://tex.z-dn.net/?f=%20%5Chookrightarrow%20%5C%3A%20%7B%20%5Crm%7By%20%3D%20mx%20%2B%20b%7D%7D)
- m is slope / gradient
- b is y-intercept.
[ for parallel lines, slopes are the same ]
• m is 2
![{ \rm{y = 2x + b}}](https://tex.z-dn.net/?f=%7B%20%5Crm%7By%20%3D%202x%20%2B%20b%7D%7D%20)
for point (-2, 4)
![{ \rm{4 = (2 \times - 2) + b}} \\ \\ { \rm{4 = - 4 + b}} \\ \\ { \rm{b = 8}}](https://tex.z-dn.net/?f=%7B%20%5Crm%7B4%20%3D%20%282%20%5Ctimes%20%20-%202%29%20%2B%20b%7D%7D%20%5C%5C%20%20%5C%5C%20%7B%20%5Crm%7B4%20%3D%20%20-%204%20%2B%20b%7D%7D%20%5C%5C%20%20%5C%5C%20%7B%20%5Crm%7Bb%20%3D%208%7D%7D)
• therefore, equation is:
![{ \boxed{ \rm{y = 2x + 8}}}](https://tex.z-dn.net/?f=%7B%20%5Cboxed%7B%20%5Crm%7By%20%3D%202x%20%2B%208%7D%7D%7D)