All categories

3 years ago

Write the trinomial as a square of a binomial x^2+2xy+y^2

Mathematics

2 answers:

vitfil [10]3 years ago

3 0

Answer:

$\large\boxed{x^2+2xy+y^2=(x+y)^2}$

Step-by-step explanation:

$(x+y)^2=(x+y)(x+y)\\\\\text{Use FOIL}\ (a+b)(c+d)=ac+ad+bc+bd\\\\=(x)(x)+(x)(y)+(y)(x)+(y)(y)=x^2+xy+xy+y^2=x^2+2xy+y^2$

bixtya [17]3 years ago

3 0

Answer:

Step-by-step explanation:

You might be interested in

Consider the 1-to10^19 scale on which the disk of the Milky Way Galaxy fits on a football field. On this scale, how far is it fr

bezimeni [28]

Beautiful ! What a great exercise ! I won't even check to verify
that 1:10⁻¹⁹ is an appropriate scale to map the Milky Way onto a
football field. I'll just accept it and go from there.

(4.4 light years) x (10⁻¹⁹) = (2.5848 x 10¹³ miles) x (10⁻¹⁹)

   = 2.5848 x 10⁻⁶ mile

   = 0.164 inch .

(1,391,400 kilometers) x (10⁻¹⁹) = 1.3914 x 10⁻¹⁰ meter

Research Conclusions:

If the Milky Way shrinks to fit on a football field, then

-- Alpha Centauri is 0.164 inch from us.

-- The sun's diameter is about 1.39 times that of a Hydrogen atom.

Playing with this same fun concept a little more:

-- The Earth is sailing around in its orbit, once a year,
    about 0.000015 millimeter from the sun.

-- It takes light almost 27 years to travel 1 inch !

wow !

5 0

3 years ago

Read 2 more answers

22 х (-9+4)<br> Need help please

olga2289 [7]

Answer:

-110x

Step-by-step explanation:

Simplify

22x(-9 + 4)

22x(-5)

Then multiply the numbers and you get your answer.

3 0

3 years ago

Read 2 more answers

Ella and jade both ran a marathone ella finished 4 hours 6 mins and 13 seconds jade finished in 4 hours and 3 mins and 18 second

spin [16.1K]

Answer:

Jade is faster than Ella by 2 minutes and 55 seconds.

Step-by-step explanation:

We are told that Ella and Jade both ran a marathon. Ella finished marathon in 4 hours 6 mins and 13 seconds. Jade finished marathon in 4 hours and 3 mins and 18 seconds.

We can write 4 hour 6 minutes 13 seconds as 4 hour 5 minutes 73 seconds. 1 minute has been borrowed to the seconds side, and seconds become 13+60 = 73 seconds.

We can see that Ella took more time than Jade. Let us find how much more time Ella took than Jade by subtracting time taken by Jade from time taken by Ella.

$4\text{ hr }5\text{ min }73\text{ sec }-4\text{ hr }3\text{ min }18{ sec }= 2\text{ min }55\text{ sec }$

We can see that Jade took 2 minute and 55 seconds less than Ella , therefore, Jade was faster than Ella by 2 minutes 55 seconds.

4 0

3 years ago

Graph the ellipse with equation x^2 /25 + y^2 /4 = 1.

nexus9112 [7]

Center: 0,0
vertex: 5,0
vertex2 (-5,0)

4 0

3 years ago

4 x 10^6 is how many times large then 1 x 10^4

Molodets [167]

Answer:

Step-by-step explanation:

$4\times10^6\text{ is how many times large than}\ 1 \times 10^4?\\\\\dfrac{4\times10^6}{1\times10^4}=\dfrac{4}{1}\times\dfrac{10^6}{10^4}=4\times10^{6-4}=4\times10^2=4\times100=400$

4 0

3 years ago