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2 years ago

Need answer asap algebra 2 math

Mathematics

1 answer:

Scorpion4ik [409]2 years ago

4 0

Answer:

Step-by-step explanation:

f(x) = 2x^2 - 4x + 5 Put brackets around the first 2 terms.

f(x) = (2x^2 - 4x) + 5 Take out the common factor of 2

f(x) = 2(x^2 - 2x) + 5 1/2 the second term and square.

f(x) = 2(x^2 -2x + (2/2)^2) + 5 Express brackets as a perfect square.

f(x) = 2(x - 1)^2 + 5 Multiply 2 * 1 (the term without an x. Subtract.

f(x) = 2(x - 1)^2 + 5 - 2 Combine

f(x) = 2(x - 1)^2 + 3

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2 years ago

How to reduce into simpler terms.?

Sveta_85 [38]

Answer:

The simplest form of the fraction $\frac{45}{100}$ is $\frac{9}{20}$ .

i.e.

$\frac{45}{100}=\frac{9}{20}$

Step-by-step explanation:

Here are some simple observations regarding how to reduce a fraction into simpler terms:

A fraction is reduced to lowest or simplest terms by finding an equivalent fraction in which the numerator and denominator are as small as possible.

In order to reduce a fraction to lowest or simplest terms, divide the numerator and denominator by their (GCF). Note that (GCF) is also called Greatest Common Factor .

So, lets take a sample fraction and reduce into simpler terms.

Considering the fraction

$\frac{45}{100}$

$\mathrm{Find\:a\:common\:factor\:of\:}45\mathrm{\:and\:}100\mathrm{\:in\:order\:to\:cancel\:it\:out}$

$\mathrm{Greatest\:Common\:Divisor\:of\:}45,\:100:\quad 5$

$\mathrm{Factor\:out\:}5\mathrm{\:from\:the\:numerator\:and\:the\:denominator}$

$45=5\cdot \:9\mathrm{,\:\quad }100=5\cdot \:20$

$\frac{45}{100}=\frac{5\cdot \:\:9}{5\cdot \:\:20}$

$\mathrm{Cancel\:the\:common\:factor:}\:5$

$=\frac{9}{20}$

Therefore, the simplest form of the fraction $\frac{45}{100}$ is $\frac{9}{20}$ .

i.e.

$\frac{45}{100}=\frac{9}{20}$

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3 years ago

Solve similar triangles (advanced)

atroni [7]

Answer:

x = 24

Step-by-step explanation:

The corresponding sides of similar Δs are proportional.

ΔADE ~ ΔABC ⇒ $\frac{AD}{AB}$ = $\frac{DE}{BC}$ = $\frac{AE}{AC}$

AD = x + 8 ; DE = 8

AB = x ; BC = 6

$\frac{x+8}{x}$ = $\frac{8}{6}$ ⇔ 8x = 6(x + 8) ⇒ x = 24

7 0

2 years ago

Read 2 more answers

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Digiron [165]

7x +5 = 3x -15

4x = -20

x = -5

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2 years ago

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