Theres information missing in the question. There should be one more pair of coordinates
Answer:
The x-coordinate of the point changing at ¼cm/s
Step-by-step explanation:
Given
y = √(3 + x³)
Point (1,2)
Increment Rate = dy/dt = 3cm/s
To calculate how fast is the x-coordinate of the point changing at that instant?
First, we calculate dy/dx
if y = √(3 + x³)
dy/dx = 3x²/(2√(3 + x³))
At (x,y) = (1,2)
dy/dx = 3(1)²/(2√(3 + 1³))
dy/dx = 3/2√4
dy/dx = 3/(2*2)
dy/dx = ¾
Then we calculate dx/dt
dx/dt = dy/dt ÷ dy/dx
Where dy/dx = ¾ and dy/dt = 3
dx/dt = ¾ ÷ 3
dx/dt = ¾ * ⅓
dx/dt = ¼cm/s
The x-coordinate of the point changing at ¼cm/s
The fist letter A (1,5) is you would run over one then jump up 5 if that makes sense. So where you have C it needs to be A
1. In any triangle, if a and b are the lengths of the shorter sides and c is the length of the longest side, then a + b > c.
So, for a triangle to have its longest side with length c = 7, the two shorter sides can have lengths
• a = 2 and b = 6 (2 + 6 = 8 > 7)
• a = 3 and b = 5 or b = 6
• a = 4 and b = 5 or b = 6
• a = 5 and b = 6
which means there are 6 ways for Joe to build such a frame.
2. In general, the number of frames Joe can make with longest side c is a matter of finding the number of positive integer solutions to
a + b > c
such that a < b < c.
c must clearly be greater than 3, because the smallest values for a and b are 1 and 2, and 1 + 2 = 3. For all other choices of c, we can set a = 2 and b = c - 1, or a = 3 and b = c - 2, or a = 4 and b = c - 3, …
Answer:
r= 3
Explanation:
1. Write the division as a fraction
1/2r-3=3(4-3/2r)
2.Distribute the 3 through the paranthesis
1/2r-3=12-9/2r
3.Multiply both sides by 2
r-6=24-9r
4. Swap -6 and -9 together by changing their signs
r+9r= 24+6
5.Add them together
10r=30
6. Divide both sides by 10
r=10
Hope this helped :)
