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4 years ago

Using the following image, solve for RQ.

Mathematics

1 answer:

Drupady [299]4 years ago

6 0

Answer:

The answer to your question is RQ = 3

Step-by-step explanation:

Data

SR = x + 7

RQ = x + 4

SQ = 9

Process

1.- Write an equation that helps to solve this problem

SQ = SR + RQ

- Substitution

9 = (x + 7) + (x + 4)

- Solve for x

9 = x + 7 + x + 4

9 = 2x + 11

9 - 11 = 2x

-2 = 2x

x = 2/-2

x = -1

2.- Find the length of RQ

RQ = x + 4

= -1 + 4

= 3

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The vertex form needed is :

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Given the equation:

$-6x^2 + 3x + 2\\$

The vertex form of $f(x) = ax^2 + b(x) + c$ is given by:

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

Here, (h,k) is the vertex of the parabola equation given.

Conversion will go like this:

$-6x^2 + 3x + 2\\= -6(x^2 - 0.5x) + 2\\= -6(x^2 -0.5x + 0.0625 - 0.0625) + 2\\= -6(x^2 -0.5x + 0.0625) + 2 +0.375\\= -6(x-0.25)^2 + 2.375\\\\$

This is the resultant vertex form.

Thus the vertex form needed is :

$-6(x-0.25)^2 +2.375$

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3 years ago

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IgorLugansk [536]

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