Equation of a parabola with vertex at (2, -1) is
y = a(x - 2)^2 - 1
Using the given point: -3 = a(4 - 2)^2 - 1
-2 = a(2)^2
4a = -2
a = -1/2
Therefore, required equation is
y = -1/2(x - 2)^2 - 1
y = -1/2(x^2 - 4x + 4) - 1
y = -1/2x^2 + 2x - 2 - 1
y = -1/2x^2 + 2x - 3
Answer:
480.66 m^3
Step-by-step explanation:
The formula for volume of a cylinder is πr^2h. when you input these values and solve for π you get π3^2(17) or approximately 480.66 m^3
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Answer:
that is the answer
Step-by-step explanation:
Answer:
70 seconds
Step-by-step explanation:
It would need to leak 35 ounces to get down to 30 ounces of flour left. So, 35oz at .5oz per second.
35 / .5 = 70
Answer:
Proof with Statement and Reason is below.
Step-by-step explanation:
Given:
In The Figure
BF ⊥ AC,CE ⊥ AB
To Prove:
Δ ACE ≅ Δ ABF
Proof:
In Δ ACE and Δ ABF
STATEMENT REASONS
1. BF ⊥ AC,CE ⊥ AB Given
2. m∠ BFA = 90°,m∠ CEA = 90° { Perpendicular Lines BF ⊥ AC,CE ⊥ AB }
3. AE = FA Given
4. m∠ A = m∠ A {Reflexive property}
5. Δ ACE ≅ Δ ABF By AAS Congruence Postulate