firstly chain rule is dy/dx = dy/du * du/dx
a) y = 5u² + u - 1 hence dy/du = 10u +1
u = 3x +1 hence du/dx = 3
so dy/dx = 3(10u +1) {sub in u and expand}
b) y= u^-2 hence dy/du = -2u^-3
u=2x+3 hence du/dx = 2
so dy/dx= 2(-2u^-3) {sub in u}
11.18 8 7.94 7.35 (answer)
Answer:
The distance would be 6.7 or 3✓5
Step-by-step explanation:
Im sure there's a faster way to find this, but I'm in 8th grade sooo yeah.
First things first we can use the equation
d=✓(X2-X1)*2+(Y2-Y1)*2
X2= 8
X1= 5
Y2= 13
Y1= 7
From here, you plug in the values and do as followed. You subtract the values to get the answer. For example 8-5 would get us (3)*2.
From here you square the 3 to get 9. You also do the same to the right side of the equation.
Now you have d=✓(3)*2 + (6)*2
From here you square it and you get d=✓9+36
Now we have: d✓45
Now we square the 45 to get 6.7082..., but we round the answer to get 6.7!
Hope this helps! If you have any questions please feel free to ask, as I understand the struggle of math! :)
3x + 5 > 11
3x + (5 - 5) > 11 - 5
3x > 6
3x / 3 > 6 / 3
x > 2
x - 3 < 1
x (-3 + 3) < 1 + 3
x < 4
When subtracting / adding values to both sides, the inequality does not change.
When multiplying / dividing by a positive value, the inequality also doesn't change, but when multiplying , dividing with a negative value, the inequality must be flipped.
