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2 years ago

Equations Of Parabolas (Conics) Unscramble

Mathematics

1 answer:

abruzzese [7]2 years ago

8 0

The match is shown in the picture for the function of a parabola and the graph of a parabola.

<h3>What is a parabola?</h3>

It is defined as the graph of a quadratic function that has something bowl-shaped.

As we know the standard form of the parabola is:

y = a(x - h)² + k

If a > 0 (parabola opens upwards)

If a < 0 (parabola opens downwards)

x = a(y - h)² + k

If a > 0 (parabola opens right side)

If a < 0 (parabola opens left side)

Here (h, k) is the vertex of the parabola and a is the leading term.

Thus, the match is shown in the picture for the function of a parabola and the graph of a parabola.

Learn more about the parabola here:

brainly.com/question/8708520

#SPJ1

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If a,b,c,d, and e are non negative such that x^6-289x^4-x^2+289=(x-a)(x+b)(x_c)(x+d)(x^2+ex+1), what is the value of a+b+c+d+e?

Irina18 [472]

Answer:

Step-by-step explanation:

Hello,

If $X=x^2$ it becomes

$X^3-289X^2-X+289=(X^2-1)(X-289)$

and $289=17^2$

$X^2-1=(X-1)(X+1)=(x^2-1)(x^2+1)=(x+1)(x-1)(x^2+1) \\\\x^2-289=x^2-17^2=(x-17)(x+17)$

So,

$x^6-289x^4-x^2+289=(x^2-1)(x^2+1)(x^2-289)=(x-1)(x+1)(x+17)(x-17)(x^2+1)$

a = 1

b = 1

c = 17

d = 17

e = 0

Then a + b + c + d + e = 36

Thanks

3 0

3 years ago

Write (-14/25)(45/49) in simplest form

allochka39001 [22]

-18/35

is the answer hope I am helpful

8 0

3 years ago

Complete the table and then graph the function.<br> y = 5x

sergejj [24]

Answer:

Coordinates: (0,0) ; (1,5) ; (2,10)

Step-by-step explanation:

x | y

0 0

1 5

2 10

Coordinates: (0,0) ; (1,5) ; (2,10)

This should be a straight line that is going diagonally with a positive slope.

7 0

2 years ago

Scott is using a 12 foot ramp to help load furniture into the back of a moving truck if the back of the truck is 3.5 feet from t

Elena-2011 [213]

Answer:

square root of 156.25

that's it

4 0

3 years ago

Malik wanted to make a cube frame out of a long wire 150 cm. If the volume of the cube is 2 197 cm³, is the length of the wire s

Rama09 [41]

Answer:

The wire is sufficient for making a cube of volume 2197 cm³

Step-by-step explanation:

Volume of cube = L³

Volume of the cube = 2197 cm³

Length of the wire = 150 cm

Let's see if the wire is sufficient for making a cube.

Volume of the cube that could be made from the wire is:

V = (L)³

V = (150)³

V = 3,375,000 cm³

So,

The volume of the cube using a 150 cm length wire is much more grater than 2197 cm³.

That is why, the wire is sufficient for making a cube of volume 2197 cm³.

4 0

3 years ago