Answer: x=7
12x-4=0.5(22x+6)
12x-4=11x+3
-11x -11x
x=7
Explanation: use the tangent-chord angle theorem.
Answer:
t = 21d
Step-by-step explanation:
Here tension and distance are denoted t by d and respectively. Since t varies directly with d , then the relation between t and d is k=td Given that, for the tension 42 pounds, the spring is stretched 2 inches. Substituting t = 42 and d= 2 into t = kd find the value of k . Therefore,
42= K (2)

K= 21
Thus the relationship is t = 21d
(Hope this helps can I pls have brainlist (crown)☺️)
Answer:
a=0
Step-by-step explanation:
x²-2x+y²-4y-4=0
(x²-2x+1)+(y²-4y+4)-9=0
(x-1)² + (y-2)² = 3²
Center: (1,2) radius: 3
(1,2) on line 2x-y+a=0
2*1 - 2 + a = 0
a = 0
The answer to this is C.17
Answer:
1.9 inches
Step-by-step explanation:
We need to utilise one important formula in this question which is the volume of a cylinder formula. We need to work out the height of the cylinder given the following information that the radius is 8 inches and the volume is 384 cubic inches. We can set up an equation to find the value of the height so,
→ π × r² × h = 384
⇒ Substitute in 8 for 'r'
→ π × 8² × h = 384
⇒ Simplify
→ π × 64 × h = 384
⇒ Divide both sides by 64 to isolate π and h
→ π × h = 6
⇒ Divide both sides by π to isolate 'h' and find the value of the height
→ h = 1.9098593171
The height of a cylinder with a volume of 384 cubic inches and a radius of 8 inches is 1.9 inches