Answer:
Vertex = 1,2
it is shifted 2 units up and to the right 1 unit
it is a downward parabola (max at (1,2) going down
Step-by-step explanation:
Answer:
V ≈471.24 mm^3
Step-by-step explanation:
The formula for cylinder volume is πr^2 x h, so ((π x 25) x h). That's just 25π x 6. That is about 471.238898, which rounded is almost 471.24. Or, in terms of π, you could leave your answer as 150π mm^3
Answer: 
Step-by-step explanation:
For convenience, I labeled some points as shown in the attached picture.
Also, I assume 
and 
are tangents to the circle.
(reflexive property)
(tangents drawn from a common external point are congruent)
(right angles are congruent)
Therefore, we know 
by HL.
Thus, by CPCTC,
This means the measure of minor arc AC is 
, and thus 
Answer: 15 inches is the height of Keisha's fish tank.
Step-by-step explanation: Basically, multiply your length x width, which is 12 x 10. 12 x 10 = 120.
Next, divide 1800 by 120.
1800 divided by 120 is 15.
So, 15 inches is the height of the fish tank.
Sqrt(1-3x)=x+3
[sqrt(1-3x)]^2=(x+3)^2
1-3x=(x+3)(x+3)
1-3x=x^2+6x+9
-3x=x^2+6x+8
0=x^2+9x+8
The answers are -1 and -8 BUT, we have to plug them back into the original equation to make sure we don't get a negative under the square root sign.
After doing this, we realize that only -1 works, so the answer is x=-1
Sorry that this took forever to answer. I was thinking of a good way to explain this, and if you need any further explanation, message me:)
Best wishes:)
