karyme12

24.03.2020 •

Mathematics

WIR FIUgress
19/42 Marks
There are 250 people in a museum.
of the 250 people are girls.
10 of the 250 people are boys.
The rest of the 250 people are adults.
Work out the number of adults in the museum.

Solved

Show answers

Ответ:

mckeeshallea400

29.05.2022

Mathematics

T = x^2 - 4x + 4 and x^2 + 10x + 25 are perfect square trinomials.

Step-by-step explanation:

Perfect square trinomials are algebraic expressions with three terms that are created by multiplying a binomial to itself.

To verify if a trinomial algebraic expresion defined by the formula

$T = a_{1} \pm a_{2} + a_{3}$

is a perfect square trinomial, create the following binomial

$B = \sqrt{a_{1}} \pm \sqrt{a_{3}}$

Then, if $B^{2} = T$ , T is a perfect square trinomial.

a) x^2 - 9 is not a trinomianl, so it cannot be a perfect square trinomial.

b) x^2 - 100 is not a trinomianl, so it cannot be a perfect square trinomial.

c) T = x^2 - 4x + 4 , so:

$B = \sqrt{x^{2}} - \sqrt{4} = x - 2$

$B^{2} = (x - 2)*(x - 2) = x^{2} - 4x + 4 = T$

T = x^2 - 4x + 4 is a perfect square trinomial

d) T = x^2 + 10x + 25 , so:

$B = \sqrt{x^{2}} + \sqrt{25} = x + 5$

$B^{2} = (x + 5)*(x +5) = x^{2} + 10x + 25 = T$

T = x^2 + 10x + 25 is a perfect square trinomial

e) T = x^2 + 15x + 36 , so:

$B = \sqrt{x^{2}} + \sqrt{36} = x + 6$

$B^{2} = (x + 6)*(x +6) = x^{2} + 12x + 36 \neq T$

T = x^2 + 15x + 36 is not a perfect square trinomial

0,0(0 оценок)

Ask your question to the AI advisor

Ai-bot is an expert in any field and is the perfect companion for reliable and useful answers and advice on a variety of topics, including science, history, technology, art, sports, health, culture and more.

Ask your question

More tips

Answers on questions: Mathematics

Ask an AI advisor a question

I want advice

WIR FIUgress 19/42 Marks There are 250 people in a museum. of the 250 people are girls. 10 of the 250 people are boys. The rest of the 250 people are adults. Work out the number of adults in the museum.