Answer:
D. 5pi/3
Step-by-step explanation:
Answer:
8. The length of the longest side is 40 ⇒ H
Step-by-step explanation:
8. In the given figure
∵ The triangle has two equal sides 2x + 12 and 5x - 9
→ Equate their expressions to find the value of x
∴ 5x - 9 = 2x + 12
→ Add 9 to both sides
∵ 5x - 9 + 9 = 2x + 12 + 9
∴ 5x = 2x + 21
→ Subtract 2x from both sides
∵ 5x - 2x = 2x - 2x + 21
∴ 3x = 21
→ Divide both sides by 3 to find x
∵
= ![\frac{21}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B21%7D%7B3%7D)
∴ x = 7
∵ The longest side is 6x - 2
→ Substitute the value of x in its expression to find its length
∴ The longest side = 6(7) - 2 = 42 - 2
∴ The longest side = 40
∴ The length of the longest side is 40
Answer:
$900.9
Step-by-step explanation:
Find the final price of a $849.99
laptop with 6% sales tax.
Given data
Price= $849.99
Tax = 6%
Let us find the amount of the tax
=6/100*849.99
=0.06*849.99
=$50.9994
Now the final price is
=50.9994+849.99
=$900.9
Answer:
See explanation
Step-by-step explanation:
Given
![A = (-1,1)](https://tex.z-dn.net/?f=A%20%3D%20%28-1%2C1%29)
![B = (3,3)](https://tex.z-dn.net/?f=B%20%20%3D%20%283%2C3%29)
![C =(4,-2)](https://tex.z-dn.net/?f=C%20%3D%284%2C-2%29)
Solving (a): ![P(0,0) \to Q(1,3)](https://tex.z-dn.net/?f=P%280%2C0%29%20%5Cto%20Q%281%2C3%29)
This means that:
![(x,y) \to (x+1,y+2)](https://tex.z-dn.net/?f=%28x%2Cy%29%20%5Cto%20%28x%2B1%2Cy%2B2%29)
So, we have:
![A = (-1,1)](https://tex.z-dn.net/?f=A%20%3D%20%28-1%2C1%29)
![A' = (-1 + 1,1+2)](https://tex.z-dn.net/?f=A%27%20%3D%20%28-1%20%2B%201%2C1%2B2%29)
![A' = (0,3)](https://tex.z-dn.net/?f=A%27%20%3D%20%280%2C3%29)
![B = (3,3)](https://tex.z-dn.net/?f=B%20%20%3D%20%283%2C3%29)
![B'= (3 + 1,3+2)](https://tex.z-dn.net/?f=B%27%3D%20%283%20%2B%201%2C3%2B2%29)
![B'= (4,5)](https://tex.z-dn.net/?f=B%27%3D%20%284%2C5%29)
![C =(4,-2)](https://tex.z-dn.net/?f=C%20%3D%284%2C-2%29)
![C' = (4+1,-2+1)](https://tex.z-dn.net/?f=C%27%20%3D%20%284%2B1%2C-2%2B1%29)
![C' = (5,-1)](https://tex.z-dn.net/?f=C%27%20%3D%20%285%2C-1%29)
Solving (b): ![P(0,-1) \to Q(4,-2)](https://tex.z-dn.net/?f=P%280%2C-1%29%20%5Cto%20Q%284%2C-2%29)
This means that:
![(x,y) \to (x+4,y-1)](https://tex.z-dn.net/?f=%28x%2Cy%29%20%5Cto%20%28x%2B4%2Cy-1%29)
So, we have:
![A = (-1,1)](https://tex.z-dn.net/?f=A%20%3D%20%28-1%2C1%29)
![A' = (-1+4,1-1)](https://tex.z-dn.net/?f=A%27%20%3D%20%28-1%2B4%2C1-1%29)
![A' = (3,0)](https://tex.z-dn.net/?f=A%27%20%3D%20%283%2C0%29)
![B = (3,3)](https://tex.z-dn.net/?f=B%20%20%3D%20%283%2C3%29)
![B'= (3+4,3-1)](https://tex.z-dn.net/?f=B%27%3D%20%283%2B4%2C3-1%29)
![B'= (7,2)](https://tex.z-dn.net/?f=B%27%3D%20%287%2C2%29)
![C =(4,-2)](https://tex.z-dn.net/?f=C%20%3D%284%2C-2%29)
![C' = (4+4,-2-1)](https://tex.z-dn.net/?f=C%27%20%3D%20%284%2B4%2C-2-1%29)
![C' = (8,-3)](https://tex.z-dn.net/?f=C%27%20%3D%20%288%2C-3%29)
Solving (c): ![P(-1,-2) \to Q(-2,-2)](https://tex.z-dn.net/?f=P%28-1%2C-2%29%20%5Cto%20Q%28-2%2C-2%29)
This means that:
![(x,y) \to (x-1,y)](https://tex.z-dn.net/?f=%28x%2Cy%29%20%5Cto%20%28x-1%2Cy%29)
So, we have:
![A = (-1,1)](https://tex.z-dn.net/?f=A%20%3D%20%28-1%2C1%29)
![A' = (-1-1,1)](https://tex.z-dn.net/?f=A%27%20%3D%20%28-1-1%2C1%29)
![A' = (-2,1)](https://tex.z-dn.net/?f=A%27%20%3D%20%28-2%2C1%29)
![B = (3,3)](https://tex.z-dn.net/?f=B%20%20%3D%20%283%2C3%29)
![B'= (3-1,3)](https://tex.z-dn.net/?f=B%27%3D%20%283-1%2C3%29)
![B'= (2,3)](https://tex.z-dn.net/?f=B%27%3D%20%282%2C3%29)
![C =(4,-2)](https://tex.z-dn.net/?f=C%20%3D%284%2C-2%29)
![C'= (4-1,-2)](https://tex.z-dn.net/?f=C%27%3D%20%284-1%2C-2%29)
![C'= (3,-2)](https://tex.z-dn.net/?f=C%27%3D%20%283%2C-2%29)