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Elden [556K]
3 years ago
8

8x-4+6x+15 I’ll give brainliest if you answer!

Mathematics
1 answer:
guapka [62]3 years ago
6 0

Answer:

14X + 11

Step-by-step explanation:

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Yes .12 is a rational number
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Write the equation of a parabola having the vertex (1, −2) and containing the point (3, 6) in vertex form. Then, rewrite the equ
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PART A

The equation of the parabola in vertex form is given by the formula,

y - k = a {(x - h)}^{2}

where

(h,k)=(1,-2)

is the vertex of the parabola.

We substitute these values to obtain,


y  + 2 = a {(x - 1)}^{2}

The point, (3,6) lies on the parabola.

It must therefore satisfy its equation.


6  + 2 = a {(3 - 1)}^{2}


8= a {(2)}^{2}


8=4a


a = 2
Hence the equation of the parabola in vertex form is


y  + 2 = 2 {(x - 1)}^{2}


PART B

To obtain the equation of the parabola in standard form, we expand the vertex form of the equation.

y  + 2 = 2{(x - 1)}^{2}

This implies that

y + 2 = 2(x - 1)(x - 1)


We expand to obtain,


y + 2 = 2( {x}^{2}  - 2x + 1)


This will give us,


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


y =  {x}^{2}  - 4x

This equation is now in the form,

y = a {x}^{2}  + bx + c
where

a=1,b=-4,c=0

This is the standard form
7 0
3 years ago
If a single card is drawn from a standard 52-card deck, in how many ways can a card other than nine be obtained?
Novosadov [1.4K]

Answer:

48 ways

Step-by-step explanation:

There are 52 cards in a deck and four nines. This means that nines account for 4/52 of the deck. The opposite of 4/52 (idr the math word for that) is 48/52. Therefore, there are 48 other ways that a card other than nine can be obtained.

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2 years ago
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The Answer Is C. 64, hope I helped

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2 x (L + W) = Perimeter

2(L + 16) = 80   Then divide both sides by 2

L + 16 = 40         Then subtract 16 from both sides

L = 24 feet

8 0
3 years ago
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