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2 years ago

9(g+3) use the distributive property to multiply

Mathematics

2 answers:

algol132 years ago

6 0

9g+27 will be the answer.

Maru [420]2 years ago

3 0

The distributive property:

$a(b+c)=ab+ac\\\\9(g+3)=(9)(g)+(9)(3)=9g+27$

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If you were to take a cross section of a right circular cone parallel to its base, what shape would you get?

Mademuasel [1]

Answer:

Step-by-step explanation:

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2 years ago

Select the correct answer for when you evaluate the following function at f(5):

quester [9]

A because (-5)^2 = 25 + 2(5) =35-1=34

5 0

3 years ago

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Use a matrix to solve the system:

Romashka-Z-Leto [24]

Answer:

(2.83 , 1 , 4)

Step-by-step explanation:

$2x+2y-z=4\\4x-2y-2z=2\\3x+3y-4z=-4\\$

Rewrite these equations in matrix form

$\left[\begin{array}{ccc}2&2&-1\\4&-2&-2\\3&3&-4\end{array}\right] \left[\begin{array}{ccc}x\\y\\z\end{array}\right]=\left[\begin{array}{ccc}4\\2\\-4\end{array}\right] \\$

we can write it like this,

$AX=B\\X=A^{-1}B$

so to solve it we need to take the inverse of the 3 x 3 matrix A then multiply it by B.

We get the inverse of matrix A,

$A^{-1}=\left[\begin{array}{ccc}7/15&1/6&-1/5\\1/3&-1/6&0\\3/5&0&-2/5\end{array}\right] \\$

now multiply the matrix with B

$X=A^{-1}B\\\\\left[\begin{array}{ccc}x\\y\\z\end{array}\right] =\left[\begin{array}{ccc}7/15&1/6&-1/5\\1/3&-1/6&0\\3/5&0&-2/5\end{array}\right]\left[\begin{array}{ccc}4\\2\\-4\end{array}\right] \\\\\\\left[\begin{array}{ccc}x\\y\\z\end{array}\right] =\left[\begin{array}{ccc}2.83\\1\\4\end{array}\right] \\$

4 0

2 years ago

A rectangular prism had a volume of 252 cubic centimeters. The length of the prism is 14 centimeters and the width of the prism

mojhsa [17]

<h2>Answer:</h2>

A prism is a solid object having two identical bases, hence the same cross section along the length. Prism are called after the name of their base. A rectangular prism is a solid whose base is a rectangle. Multiplying the three dimensions of a rectangular prism: length, width and height, gives us the volume of a prism:

$V=L\times W\times H$

FOR THE ORIGINAL PRISM WE HAVE THE FOLLOWING DIMENSIONS:

$L=14cm \\ \\ W=6cm \\ \\ H=3cm$

In fact, the volume is $252cm^3$ because:

$V=14\times 6\times 3 \therefore V=252cm^3$

Now the height of the prism was changed from 3 centimeters to 6 centimeters to create a new rectangular prism, therefore:

FOR THE NEW PRISM WE HAVE THE FOLLOWING DIMENSIONS:

$L=14cm \\ \\ W=6cm \\ \\ H=6cm$

So the new volume is:

$V=14\times 6\times 6 \therefore V=504cm^3$

<h3><em>What do we know about the volume of the new prism?</em></h3>

<em>Well, the volume has increased from </em> $252cm^3 \ to \ 504cm^3$ <em>and since</em> $504=2\times 252$ <em>we can say that the new volume is two times the original volume.</em>

8 0

2 years ago

12(1-x) = 36<br> what’s the equation

maks197457 [2]

Answer:

-12x + 12 = 32............................. the equation

Step-by-step explanation:

to determine the equation in this 12(1-x) = 36 expression is quite simple, you only need to open the bracket .

solution

12(1-x) = 36

12 - 12x = 32

-12x + 12 = 32............................. the equation

we can further evaluate for the value of x

-12x = 32 - 12

-12x = 20

divide both sides by the coefficient of x which is -12

-12x = 20

-12x/-12 = 20/-12

x = -1.67

3 0

2 years ago

Read 2 more answers