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3 years ago

Solve each equation with the quadratic formula. (Show work please)

Mathematics

1 answer:

Snowcat [4.5K]3 years ago

3 0

Answer:

Let b=x

Such that b^2 =8b-8 will x^2=8x-8

Using the almighty quadratic formula

x1={-b+sqrt (b^2-4ac)}/2a

x2={-b-sqrt (b^2-4ac)}/2a

From the question

a=1

b=8

c=-8

x1={-8+sqrt (8^2-4(-8))}/2

x1=(-8+5.66)/2

x1=-1.17

x2={-8-sqrt (8^2-4(-8))}/2

x2=(-8-5.66)/2

x2=-6.83

:.(x1,x2)=(-1.17,-6.83)

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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3 years ago

Read 2 more answers

A 12-foot ladder leans against the wall; the base of the ladder is 2 feet away from the wall.To the nearest tenth of a foot, how

ludmilkaskok [199]

<h3>The ladder will reach a height of 11.8 feet up the wall</h3>

<em><u>Solution:</u></em>

The ladder, wall and base of the ladder from wall forms a right angled triangle

Length of ladder forms the hypotenuse

Length of ladder = 12 foot

base of the ladder from wall = 2 feet

<em><u>To find: height of wall</u></em>

By pythagoras theorem.

$c^2 = a^2+b^2$

Where,

"c" is the Length of ladder

"a" is the base of the ladder from wall

"b" is the height of wall

Substituting the values,

$12^2 = 2^2+b^2\\\\144 = 4 + b^2\\\\b^2 = 140\\\\b = \pm 11.832 \\\\Ignore\ negative\ value\\\\b \approx 11.8$

Thus, the ladder will reach a height of 11.8 feet on wall

4 0

3 years ago

B-4/6=b/2 solve for b

DIA [1.3K]

First you cross multiply.

2*(b-4)=6b

Then distribute the 2.

2b-8=6b

Minus 2b from each side.

-8=4b

Divide each side by 4.

-2=b

So -2 is your answer.

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3 years ago

Which describes how to graph g (x) = RootIndex 3 StartRoot x minus 5 EndRoot + 7 by transforming the parent function?

ratelena [41]

Answer:

$f(x) =\sqrt[3]{x}$

Step-by-step explanation:

Hello!

Considering the parent function, as the most simple function that preserves the definition. Let's take the function given:

$g(x) = \sqrt[3]{x-5}+7$

To have the the parent function, we must find the parent one, let's call it by f(x).

$f(x) =\sqrt[3]{x}$

This function satisfies the Domain of the given one, because the Domain is still $(-\infty, \infty)$ and the range as well.

Check below a graphical approach of those. The upper one is g(x) and the lower f(x), its parent one.

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