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Ronch [10]
3 years ago
6

The standard form of the equation of a parabola is y = 5x2 + 20x + 14.

Mathematics
2 answers:
Irina-Kira [14]3 years ago
8 0
The vertex form of quadratic equation is expressed as:

y = a (x - h)² + k

We manipulate the given equation to be the same as the vertex form. First we transpose the constants to the left-hand side.

y - 14 = 5x² + 20x

Then, we factor out in right hand side the coefficient of the x² term.

y- 14 = 5 (x² + 4x)

We divide the coefficient of the x term with 2 and take its square. We add this value to both sides of the equation but we should remember that in the left-hand side we should multiply this value with five to keep it balanced.

y - 14 + 20 = 5 (x² + 4x +4)

We simplify the right-hand side as:

y + 6 = 5 (x + 2)²

We can now manipulate further the equation above in the vertex form. Thus,

y= 5 [ x- (-2)]² - 6
Ber [7]3 years ago
7 0

Answer:

y = 5(x+2)^2 - 6

Step-by-step explanation:

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On a coordinate plane, how are the locations of the points (-4 , 8) and (-4 , -8) related?
STALIN [3.7K]

Answer:

A. reflection across the y-axiss

Step-by-step explanation:

Given:

The locations of the two points are (-4 , 8) and (-4 , -8).

To find:

The relation between two points.

From the given points (-4, 8) and (-4 , -8), it is clear that the y-coordinates are same but the sign of x-coordinates are opposite.

If a figure is reflected across the y-axis, then we change the sign of x-coordinate and the y-coordinates remain same, i.e.,

(x,y)→(-x,y)

For (-4,8)

(-4,8)→ (-4,-8)

So, it is reflection across the y-axis.

Therefore, the correct option is A.

6 0
3 years ago
Ldentify the following sections of the textbook.
Tema [17]
I don’t know what the drop down options are so I can’t answer your question. Sorry but can u pls help answer my question I just posted? That would be very helpful thx!
7 0
3 years ago
A designer creates a model of a building. The model is 63.5 centimeters long. One inch equals 2.54 centimeters.
Yakvenalex [24]

Answer:

25in

Step-by-step explanation:

if the model is 63. 5 cm, and 2.54 cm is equivalent to 1 in

you can do 63.5 / 2.54 to get 25 in

8 0
3 years ago
What side of the image corresponds to BC ?<br> http://prntscr.com/kvxwsm
coldgirl [10]
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8 0
3 years ago
Help me please with 3-111
LenKa [72]

Last Question

Because this may not be the question you want, I'll omit the first step which should be done with latex. The key to all of these except C is to invert the second fraction (turn the second fraction upside down) and multiply.

A

\dfrac{6}{5} * \dfrac{-2}{3}

=(6*-2) / (5*3) = - 12/15 = -4/5

B

\dfrac{7}{4} *\dfrac{5}{3}

= (7*5) / (4*3) = 35 / 12 = 2 11/12

C

Impossible to do 4/0 cannot be done.

D

\dfrac{-2}{3} /\dfrac{-5}{4}=\dfrac{-2}{3} *\dfrac{-4}{5}

= (-2*-4)/(3*5) =

8/15


4 0
3 years ago
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