3 years ago

A pattern is made from four congruent squares.

Mathematics

1 answer:

Mashutka [201]3 years ago

3 0

Answer:

c is marked on the diagram

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Solve the following inequality and graph the solution set on the number line 2(x-3)-5x<9

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A party rental company has chairs and tables to rent. The total cost for 3 chairs and 2 tables is $25. To rent 5 chairs and 6 ta

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Tristan is volunteering at the animal shelter one of his responsibilities is to give each of the 5 dogs their medicine each day

vova2212 [387]

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2 years ago

Which products result in a perfect square trinomial? Select three options.

Kazeer [188]

Answer:

Second option: $(xy+x)(xy+x)$

Third option: $(2x-3)(-3+2x)$

Fifth option: $(4y^2+25)(25+4y^2)$

Step-by-step explanation:

By definition, a perfect square trinomial can be obtained by squaring binomials.

Then:

$(a+b)^2=(a+b)(a+b)=a^2+2ab+b^2\\\\(a-b)^2=(a-b)(a-b)=a^2-2ab+b^2$

Knowing this, to obtain a perfect square trinomial, the binomials that you multiply must be equals.

Therefore, the products result in a perfect square trinomial are:

$(xy+x)(xy+x)=(xy+x)^2=(xy)^2+2(xy)(x)+x^2=x^2y^2+2x^2y+x^2$

$(2x-3)(-3+2x)=(2x-3)^2=(2x)^2-2(2x)(3)+3^2=4x^2-12x+9$

$(4y^2+25)(25+4y^2)=(4y^2+25)^2=(4y^2)^2+2(4y^2)(25)+25^2=16y^4+200y^2+625$

8 0

3 years ago

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