Answer:
1.1m
Step-by-step explanation:
Let L denote longer pipe and S denote shorter part
given:
L:S = 9:2
or L/S = 9/2
2L = 9S
S = (2/9)L-----(eq 1)
Also given:
L - 1.65 = 3S
L - 3S = 1.65 ----- (eq 2)
By substitution, sub eq 1 into eq 2
L - 3(2/9)L = 1.65
L - (2/3)L = 1.65
L [ 1 - (2/3) ] = 1.65
L/3 = 1.65
L = 1.65 (3) = 4.95 (substitute into equation 1)
S = (2/9)(4.95) = 1.1m
Answer:
No solution
Step-by-step explanation:
As the coefficient of x is the same, and the constant terms are different, the lines will lie parallel to each other and never intersect.
Hence, this system of equations has no solution.
Answer:
Option B: ![y = -\frac{1}{2} x^2](https://tex.z-dn.net/?f=y%20%3D%20-%5Cfrac%7B1%7D%7B2%7D%20x%5E2)
Step-by-step explanation:
The parabola has its concavity downwards, so we need a function in the model:
![y = ax^2 + bx + c](https://tex.z-dn.net/?f=y%20%3D%20ax%5E2%20%2B%20bx%20%2B%20c)
With a negative value of 'a'
The vertex is (0,0), so we have that:
![0 = 0a + 0b + c](https://tex.z-dn.net/?f=0%20%3D%200a%20%2B%200b%20%2B%20c)
![c = 0](https://tex.z-dn.net/?f=c%20%3D%200)
The x-coordinate of the vertex is given by the equation:
![x\_vertex = -b/2a](https://tex.z-dn.net/?f=x%5C_vertex%20%3D%20-b%2F2a)
![-b/2a = 0](https://tex.z-dn.net/?f=-b%2F2a%20%3D%200)
![b = 0](https://tex.z-dn.net/?f=b%20%3D%200)
So we have a function in the model:
![y = ax^2](https://tex.z-dn.net/?f=y%20%3D%20ax%5E2)
With a < 0
The only option with this format is B:
![y = -\frac{1}{2} x^2](https://tex.z-dn.net/?f=y%20%3D%20-%5Cfrac%7B1%7D%7B2%7D%20x%5E2)
The relation of t as in to what?
Answer:
m=0
Step-by-step explanation:
How to solve your question 4 +5=5−4
Step 1: Rearrange Terms 4+5=5−4 4+5=−4+5
Step 2 : Subtract 5 from both sides 4+5=−4+5
-5 -5
Step 3 : Simplify 4m= -4m
Step 4: Add 4m to both sides of the equation 4m= -4m
+4 +4
Step 5: Simplify 8m=0
m=0