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4 years ago

Which expression shows the result after using the distributive property?

Mathematics

1 answer:

Fudgin [204]4 years ago

7 0

Answer:

45350

Step-by-step explanation:

(8)(20)+(8)(6)(8)+20(8+6)(8)(20)+6

=160+(8)(6)(8)+20(8+6)(8)(20)+6

=160+(48)(8)+20(8+6)(8)(20)+6

=160+384+20(8+6)(8)(20)+6

=544+20(8+6)(8)(20)+6

=544+(20)(14)(8)(20)+6

=544+(280)(8)(20)+6

=544+(2240)(20)+6

=544+44800+6

=45344+6

=45350

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The volume of a cylinder is 8.478 cubic inches, and the radius is 15 inches. Which measurement is closest to the height of this

Harrizon [31]

Answer:

No correct answer

Step-by-step explanation:

volume of a cylinder= pi*r2*height

making height the subject of formula

height = volume/pi*r2

height= 8.478/pi*15*15 = 0.012in

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3 years ago

AJ's Car used 3 1/4 gallons of gas on a trip to the beach assume one gallon equals 3.8 what is the best estimate of number of li

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3 years ago

14. Let R^2 have inner product defined by ((x1,x2), (y,, y2)) 4x1y1 +9x2y2 A. Determine the norm of (-1,2) in this space B. Dete

Vitek1552 [10]

The norm of a vector $\vec x$ is equal to the square root of the inner product of $\vec x$ with itself.

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4 years ago

Which system of equations is equivalent to the following system? 3x 5y = 29 x 4y = 16 3x 5y = 29 â’x â’ 4y = 16 3x 5y = 29 â’3x

Mrac [35]

The correct option is (B). $3x+5y=29$ And $-3x-12y=-48$ .

Given Equations,

$3x + 5y = 29......(1)$

$x + 4y = 16.......(2)$

We have to find out Which system of equations is equivalent to the Given system of Equations.

1). System of equation are,

$3x+5y=29\\-x-4y=16$

taking - common and transposing to R.H.S we get,

$x+4y=-16$

This equation is not equal to equal (2), so the option (1) is not the system of equation equivalent to given Equations.

Similarly, on checking other options,

2. system of equation,

$3x+5y=29\\-3x-12y=-48$

Taking -3 common from L.H.S. we get,

$-3(x+4y)=-48\\\\x+4y=\dfrac{-48}{-3}$

$x+4y=16$ .

Hence the Above system of equation is equivalent to the given system of equation.

So, there is no need to check option (3) and option (4).

Hence the correct option is (B).

For more details on Equations follow the link:

brainly.com/question/11897796

4 0

3 years ago

Find the solution set of the following quadratic equations using the quadratic formula.

oksian1 [2.3K]

Answer:

<h3> 1) $x_1=\dfrac{7+\sqrt{13}}2\,,\quad x_2=\dfrac{7-\sqrt{13}}2$ </h3><h3> 2) $x_1=-\dfrac13\,,\quad x_2=-3$ </h3>

Step-by-step explanation:

$x^2 - 7x + 9 = 0\quad\implies\quad a=1\,,\ b = -7\,,\ c=9\\\\x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}=\dfrac{-(-7)\pm\sqrt{(-7)^2-4\cdot1\cdot9}}{2\cdot1}=\dfrac{7\pm\sqrt{49-36}}2\\\\x_1=\dfrac{7+\sqrt{13}}2\,,\quad x_2=\dfrac{7-\sqrt{13}}2$

<h3>2)</h3><h3> $3x^2 + 10x=-3\\\\3x^2+10x+3=0\quad\implies\quad a=3\,,\ b =10\,,\ c=3\\\\x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}=\dfrac{-10\pm\sqrt{10^2-4\cdot3\cdot3}}{2\cdot3}= \dfrac{-10\pm\sqrt{100-36}}6\\\\x_1=\dfrac{-10+\sqrt{64}}6=\dfrac{-10+8}6=-\dfrac13\,,\qquad x_2=\dfrac{-10-8}6=-3$ </h3>

7 0

3 years ago