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3 years ago

Please help me with this

Mathematics

1 answer:

Dahasolnce [82]3 years ago

5 0

Step-by-step explanation:

If you solve these equations, they can be represented as decimals and are easier to understand

First fraction:

(4 ÷ 5) ÷ (1 ÷ 8) = 6.4 (1st)

Second fraction:

(22 ÷ 13) ÷ (1 ÷ 8) = 13.5 (3rd)

Third fraction:

(22 ÷ 13) ÷ (1 ÷ 12) = 20.3 (4th)

Fourth fraction:

(4 ÷ 5) ÷ (1 ÷ 12) = 9.6 (2nd)

I hope this was helpful :-)

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The vertex of a parabola is (3,-2) and another point on the parabola is (2,3) find the equation of the parabola in vertex form

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Answer:

$y = 5 ( x - 3 ) ^2 -2$

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Step-by-step explanation:

Vertex form of a parabola is given as:

$y = a ( x - h ) ^2 + k$

Where ( $h,k$ ) is the vertex and $(x,y)$ are the points on the parabola.

We are given that, the vertex is (3, -2) and another point on parabola is given as (2, 3).

$h = 3,k = -2$

First of all, putting the vertex in the vertex equation as given above:

$y = a ( x - 3 ) ^2 + (-2)$

Now, putting the values of $x, y$ as 2, 3 and let us find the unknown variable $a$ :

$3 = a ( 2 - 3 ) ^2 + (-2)\\\Rightarrow 3 = a -2\\\Rightarrow a = 5$

Therefore, the equation in vertex form can be written as:

$y = 5 ( x - 3 ) ^2 -2$

$y+2= 5 ( x - 3 ) ^2$

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