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pentagon [3]
3 years ago
6

The vertex of this parabola is at (-3, -1). When the y-value is 0, the x-value is 4. What is the coefficient of the squared term

in the parabola's equation?
Mathematics
1 answer:
Ivanshal [37]3 years ago
5 0
Hello :
<span>the parabola's equation is : f(x) = a(x+3)²-1
</span><span>the coefficient of the squared expression in the parabola's equation is : a
but ; f(4) = 0
0 = a(4+3)²-1
49a-1=0.....a=1/49
f(x) = 1/49(x-3)²-2</span>
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Answer:

1. ∠A and ∠B are right angles.                      Given

2. m∠A = m∠ B                                               All right angles are congruent.

3. ∠BEC≅ ∠AED                                              Vertical angles are congruent

4. ΔCBE ~ ΔDAE                                               AA

Step-by-step explanation:

A proof always begins with the givens.

1. ∠A and ∠B are right angles. -------------->Given

2. m∠A = m∠ B  are equal since----------->  All right angles are congruent.

3. ∠BEC≅ ∠AED  are also equal since---->Vertical angles are congruent

4. ΔCBE ~ ΔDAE since two angles are equal----------> AA

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Step-by-step explanation:

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Answer:

The simplified expression is:

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Step-by-step explanation:

Given the expression

\frac{3^9\times \:y}{2\times 81}

solving the expression

\frac{3^9\times \:y}{2\times 81}=\frac{3^9y}{162}

        =\frac{3^9y}{3^4\times \:2}                ∵    162=3^4\times \:2      

        =\frac{3^5y}{2}                   ∵   \mathrm{Apply\:exponent\:rule}:\quad \frac{x^a}{x^b}=x^{a-b}

       =\frac{243y}{2}                  ∵    3^5=243

Therefore, the simplified expression is:

\frac{3^9y}{2\times \:81}=\frac{243y}{2}

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