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Maru [420]
3 years ago
15

Which property of multiplication is shown below?

Mathematics
2 answers:
kati45 [8]3 years ago
8 0
A.: Commutative Property
drek231 [11]3 years ago
5 0

Answer:

The option A. is correct

Step-by-step explanation:

x = a + bi and y = c + di

Now, x × y = (a + bi) × (c + di)

                 = ac + adi + bci + bdi²

                 = ac - bd + i(ad + bc)

Now, y × x = (c+ di) × (a + bi)

                 = ac + bci + adi + bdi²

                 = ac - bd + i(ad + bc)

Therefore,  x × y = y × x

And if ab = ba then the property is known as commutative property.

Hence, The option A. is correct

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1.8 divided 2 = ___ please do this ASAP I’m being timed!
nexus9112 [7]

Answer:

<h2>0.9</h2>

Step-by-step explanation:

Plz mark as brainliest

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3 years ago
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If a = 3 what is the value of b in the equation 2a+b=13? And can you explain?
sladkih [1.3K]

Answer:

b=7

Step-by-step explanation:

Plug 3 into a since a=3.

2(3)+b=13

Then solve for 2(3)

6+b=13

Now isolate the b, so move the 6 to the other side. (Basically subtract 6 from both sides)

b=13-6

b=7

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4 years ago
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Likurg_2 [28]

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4 years ago
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Find the term that must be added to the equation x2−10x=1 to make it into a perfect square
adoni [48]

Answer:

25

Step-by-step explanation:

If you add 25 to both sides, you get

x^2-10x+25=26.

Now, you can simplify the left side into a perfect square

(x-5)^2=26

6 0
3 years ago
Will mark brainliest! Questions are in the picture!
alexdok [17]

Answer:

52.9 inches .

Step-by-step explanation:

Given that the triangular indentation has an area of 100 in.² and the base and height of this traingle are represented by expressions 3x and x+3 respectively . We need to find out the <u>perimeter </u>to the nearest tenth.

As we know that the area of triangle is ,

\rm\longrightarrow Area_{\triangle}=\dfrac{1}{2}(base)(height)

Substituting the respective values,

\rm\longrightarrow 100\ =\dfrac{1}{2}(x+3)(3x)\\\\\rm\longrightarrow 2(100) = 3x(x+3)\\\\\rm\longrightarrow200 = 3x^2+9x\\\\\rm\longrightarrow 3x^2+9x-200=0

On using the <u>Quadratic</u><u> formula</u> , we have;

\rm\longrightarrow x =\dfrac{-9\pm\sqrt{9^2-4(3)(-200)}}{2(3)} \\\\\rm\longrightarrow x =\dfrac{-9\pm \sqrt{81+1200}}{6}\\\\\rm\longrightarrow x =\dfrac{-9\pm \sqrt{1281}}{6}

On simplifying above , we will get ,

\rm\longrightarrow x = 6.802,-9.802

Since sides can't be negative, therefore,

\rm\longrightarrow\underline{\underline{ x =6.802}}

Therefore ,

  • \rm\longrightarrow Base = 3x =3(6.802)in = 20.406\ in\\
  • \rm\longrightarrow Height = x +3=6.802+3=9.802\ in

Next let's find out the <u>hypotenuse </u>using Pythagoras theorem, as ;

\rm\longrightarrow h=\sqrt{ b^2+p^2}\\

\rm\longrightarrow h =\sqrt{ (20.406)^2+(9.802)^2}\\

\rm\longrightarrow h =\sqrt{416.40+96.07}\\

\rm\longrightarrow h = 22.63\ in

Now we may find perimeter as ,

\rm\longrightarrow P = p + b + h \\

\rm\longrightarrow P = (22.63 + 9.802 + 20.406)in.

\\\rm\longrightarrow P = 52.89 \ in.\\

\rm\longrightarrow \underline{\underline{ Perimeter = 52.9\ in .}}

8 0
3 years ago
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