Answer:
![d=\sqrt{218}](https://tex.z-dn.net/?f=d%3D%5Csqrt%7B218%7D)
Step-by-step explanation:
Distance Formula: ![d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}](https://tex.z-dn.net/?f=d%3D%5Csqrt%7B%28x_2-x_1%29%5E2%2B%28y_2-y_1%29%5E2%7D)
Simply plug our coordinates into the distance formula to find the distance between the points:
![d=\sqrt{(3 - (-4))^2+(-7 - 6)^2}](https://tex.z-dn.net/?f=d%3D%5Csqrt%7B%283%20-%20%28-4%29%29%5E2%2B%28-7%20-%206%29%5E2%7D)
![d=\sqrt{(3 +4)^2+(-13)^2}](https://tex.z-dn.net/?f=d%3D%5Csqrt%7B%283%20%2B4%29%5E2%2B%28-13%29%5E2%7D)
![d=\sqrt{(7)^2+169}](https://tex.z-dn.net/?f=d%3D%5Csqrt%7B%287%29%5E2%2B169%7D)
![d=\sqrt{49+169}](https://tex.z-dn.net/?f=d%3D%5Csqrt%7B49%2B169%7D)
![d=\sqrt{218}](https://tex.z-dn.net/?f=d%3D%5Csqrt%7B218%7D)
Answer:
A.
Step-by-step explanation:
Perpendicular => so it will have a slope of negative reciprocal to this slope
Slope = 2/3
Now
Point = (x,y) = (6,5)
So,
x = 6, y = 5
Substituting in the slope intercept form
5 = (2/3)(6)+b
5 = 4+b
=> b = 1
So, we have
m = 2/3
b = 1
Putting in the slope intercept equation
y = 2/3x+1
Answer:
25 minutes
Step-by-step explanation:
Think about how many steps per minute Paul can walk. Knowing that he can walk 15 steps in 5 minutes, we can say that Paul can walk 3 steps/minute.
We're asked to figure out how many minutes it would take him if he walks at a constant speed if he takes 75 steps. So we can just divide 75 steps into 3 steps/minute and then we should get 25 minutes!
Answer: Simple cubic=0.39nm
Face centred cubic
=0.55nm
Body centered cubic
=0.45nm
Diamond lattice= 0.9nm
Step-by-step explanation: The lattice constant (a)
for SC=2*r
Fcc=4*r/√2
Bcc= 4*r/√3
Diamond lattice=8*r/√3
Here,
r is the atomic radius measured in nm
r = 1.95Å * 1nm/10Å
=0.195nm
Now let's calculate (a)
SC = 2*r = 2*0.195 nm=0.39nm
Fcc = 4*r/√2 =4*0.195nm/√2
= 0.55nm
Bcc = 4*r/√3 =4*0.195nm/√3
= 0.45nm
Diamond lattice = 8*r/√3
=8*0.195nm/√3
= 0.9nm