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riadik2000 [5.3K]
3 years ago
6

The line of symmetry of the parabola whose equation is y = ax^2 -4x + 3 is

Mathematics
1 answer:
alex41 [277]3 years ago
7 0

Answer:

B. -1

Step-by-step explanation:

If we have a parabola whose equation is:

y=ax^{2} +bx+c

The line of symmetry is calculated as:

x=\frac{-b}{2a}

Now, we have the equation y=ax^{2}-4x+3 and the line of symmetry is x=-2

Where:

b=-4\\c=3

So, we can replace b by -4 and x by -2 and solve for a using the following equation as:

x=\frac{-b}{2a}\\-2=\frac{-(-4)}{2a}\\-2(2)a=4\\-4a=4\\a=-1

It means that the equation of the parabola is equal to:

y=-1x^{2}-4x+3

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If using the method of completing the square to solve the quadratic equation x^2-4x+10=0,which number would have to be added to
chubhunter [2.5K]

Answer:

4

Step-by-step explanation:

Given

x² - 4x + 10 = 0

subtract 10 from both sides

x² - 4x = - 10

To complete the square

add ( half the coefficient of the x- term )² to both sides

x² + 2(- 2)x + 4 = - 10 + 4

(x - 2)² = - 6

To complete the square add 4

5 0
3 years ago
Some one help me on this one
aleksandrvk [35]
The answer is III only, or D. 


We can start to solve this by knowing what the HL theorem means. The HL theorem, like its name implies, shows says that if a hypotenuse and leg of a triangle are congruent to the hypotenuse and leg of a different triangle, then the triangles are congruent. The only triangle that we see a hypotenuse congruent in is in figure III. In figure II, those congruent sides are both legs while in figure I we just see 2 congruent angles. Now in figure III, we can also see that two legs are congruent because of the reflexive property. That means that the answer is III, or D. 
5 0
2 years ago
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statuscvo [17]

Answer:

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
The heat developed in an electric wire varies jointly as the wires resistance, the time the current flows, & the square of t
never [62]

Answer:

4 ohms

Step-by-step explanation:

The question is "In two minutes a current of 5 amps develops 1,200 heat units in a wire of 8 ohms resistance. What resistance does a similar wire have, which develops 6,000 heat units with a current of 10 amps in 5 minutes?"

Current, I₁ = 5 A

Heat, Q₁ = 1200 units

Resistance, R₁ = 8 ohms

Time, t₁ = 2 min = 120 s

New heat, Q₂ = 6000 units

Current, I₂ = 10 A

New time, t₂ = 5 min = 300 s

We need to find the new resistance.

Heat developed is given by :

Q=I^2Rt

\dfrac{Q_1}{I_1^2R_1t_1}=\dfrac{Q_2}{I_2^2R_2t_2}\\\\R_2=\dfrac{Q_2\times I_1^2R_1t_1}{Q_1I_2^2t_2}\\\\R_2=\dfrac{6000\times 5^2\times 8\times 120}{1200\times 10^2\times 300}\\\\=4\ \Omega

So, the new resistance is 4 ohms.

5 0
2 years ago
Will mark brainliest
Angelina_Jolie [31]

Answer:

K (-1,-1)

Step-by-step explanation:

4 0
2 years ago
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