Answer:
149 degrees
100
Step-by-step explanation:
17 + 14 = 31
The sum of a triangle is 180 degrees
so you subtract the given figure from 180 degrees
180 - 31 = 149 degrees
Since the last two digits is 49 which is less than 50 it will be rounded down to get 100
so the final answer is 100.
(x₁,y₁) = (2,-3)
(x₂,y₂) = (2,9)
To determine the slope using two points lie on the line, we could use the following formula
m =
![\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}](https://tex.z-dn.net/?f=%20%5Cdfrac%7By_%7B2%7D-y_%7B1%7D%7D%7Bx_%7B2%7D-x_%7B1%7D%7D)
plug in the numbers
m =
![\dfrac{9-(-3)}{2-2}](https://tex.z-dn.net/?f=%20%5Cdfrac%7B9-%28-3%29%7D%7B2-2%7D%20)
m =
![\dfrac{9+3}{0}](https://tex.z-dn.net/?f=%20%5Cdfrac%7B9%2B3%7D%7B0%7D%20)
m =
![\dfrac{12}{0}](https://tex.z-dn.net/?f=%20%5Cdfrac%7B12%7D%7B0%7D%20)
m = undefined
The slope is undefined, the line is vertical
Answer:
Total number of trees planted =
trees
Step-by-step explanation:
Trees planted by each student = ![2\times 10^2](https://tex.z-dn.net/?f=2%5Ctimes%2010%5E2)
Total number of students = ![3.5\times 10^3](https://tex.z-dn.net/?f=3.5%5Ctimes%2010%5E3)
Using unitary method to find total number of trees planted by all the students in school.
1 student plants =
trees
student would plant = ![(2\times 10^2)\times (3.5\times 10^3)](https://tex.z-dn.net/?f=%282%5Ctimes%2010%5E2%29%5Ctimes%20%283.5%5Ctimes%2010%5E3%29)
We apply the product rule of exponents to multiply ![[a^xa^y=a^{x+y}]](https://tex.z-dn.net/?f=%5Ba%5Exa%5Ey%3Da%5E%7Bx%2By%7D%5D)
⇒ ![(2\times 3.5)\times(10^2\times 10^3)](https://tex.z-dn.net/?f=%282%5Ctimes%203.5%29%5Ctimes%2810%5E2%5Ctimes%2010%5E3%29)
⇒ ![7\times 10^{2+3}](https://tex.z-dn.net/?f=7%5Ctimes%2010%5E%7B2%2B3%7D)
⇒
trees
Total number of trees planted =
trees
Answer:
x^8/3 y^14/3
Step-by-step explanation:
When there are exponents inside and outside of the parenthesis, just multiply them.
for example (x^a)^b = x^(a*b)
So x^(4 * 2/3) y^(7*2/3) = x^8/3 y^14/3
So the question if find y'' for 4y=cos2x
First, find y by dividing by 4. y = cos2x/4
Then, take the first derivative. y' = -sin2x/2
Then, take the second dervative. y'' = -cos2x