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3 years ago

What is the distance between the solutions to the quadratic equation x2 – 7x + 10 = 28

Mathematics

1 answer:

Kryger [21]3 years ago

4 0

Answer:

Step-by-step explanation:

Given

x² - 7x + 10 = 28 ( subtract 28 from both sides )

x² - 7x - 18 = 0 ← in standard form

(x - 9)(x + 2) = 0 ← in factored form

Equate each factor to zero and solve for x

x - 9 = 0 ⇒ x = 9

x + 2 = 0 ⇒ x = - 2

The distance between the solutions is

| 9 - (- 2) | = | 11 = 11 units

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Write 85% as it's fraction, as simply as possible

cricket20 [7]

Hey ! there

Answer:

Simplest fraction form of 85% is 17/20 .

Step-by-step explanation:

Question says that we have to write the simplest form of 85% as it's fraction .

Solution : -

$\quad \longrightarrow \qquad \:85\%$

We know that ,

Percent ( % ) = 1/100

So ,

$\quad \longrightarrow \qquad \: 85 \times \dfrac{1}{100} \:$

or ,

$\quad \longrightarrow \qquad \: \dfrac{85}{100}$

Reducing the fraction by cancelling it by 5 :

$\quad \longrightarrow \qquad \: \dfrac{ \cancel{85}}{ \cancel{100}}$

We get :

$\quad \longrightarrow \qquad \: \pink{\underline{\boxed{\frak{\dfrac{17}{20} }}}} \quad \bigstar$

Now , we can't reduce 17/20 .

Henceforth , 17/20 is the simplest form of 85% .

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