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3 years ago

8

Simplifying algebraic expressions -8(2k-7)

2 answers:

son4ous [18]3 years ago

8 0

-16k+56 check photo for steps and please mark as brainliest if i helped! thanks c:

Ronch [10]3 years ago

6 0

Answer:

-16k+56

Step-by-step explanation:

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4. Find f(2) if f(x) = 2x + 1.

irina [24]

Answer:

X= .5 (decimal form)

X= 1/2 (Exact form)

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3 years ago

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A telephone company charges its customers per minute to make long-distance calls. The cost, c, can be represented by c = .12m wh

Ksivusya [100]

Answer:

m ≥ 0

Step-by-step explanation:

Since the cost is represented by c = 0.12m, the domain should be a positive number, this is because number of minutes can't be written in negative. Therefore, the most reasonable number for the domain would be the set of positive whole numbers which means, m≥0.

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3 years ago

Find the distance between points A (5.-7) and B (-3,-4)

Strike441 [17]

It would help if you had a four quadrant graph, but the distance would be (8,11).

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3 years ago

a wire of length 200 cm is cut into two parts and each part is bent to form a square.If the area of the larger square is 9 times

diamong [38]

<em>Answer:</em>

<em>The perimeter of the larger square is $150cm.$ </em>

<em>Step-by-step explanation:</em>

<em>First of all, let one part of it be " $x$ "</em>

<em>and the other part of it " $200-x$ "</em>

<em>Now to solve this :</em>

<em>The area of the square = $L^2$ </em>

<em>The area of one part of the square = $x^2$ </em>

<em>The area of the other part of the square = $(200-x)^2$ </em>

<em> $9x^2= (200-x)^2\\9x^2=40000-400x+x^2$ </em>

<em></em>

<em>Now, add, $-4x^2$ to both the sides :</em>

<em> $9x^2-9x^2=40000-400x+x^2-9x^2\\-1(8x^2+400x-40000)=0$ </em>

<em />

<em>Now, take out the "8" which is common :</em>

<em> $-8(x^2+50x-5000)=0$ </em>

<em></em>

<em>Now, divide it by $-8$ :</em>

<em> $x^2+100x-50x-5000=0\\x(x+100)-50(x+100)=0\\(x+100)(x-50)=0\\$ </em>

<em> $x=-100$ or $50$ </em>

<em />

<em>So, now we know that :</em>

<em>One of the part is = $50cm$ </em>

<em>And the other part is = $150cm$ </em>

<em />

<em>Thus the perimeter of the larger square is = $150cm$ </em>

3 0

3 years ago

What is the value of C in the matrix equation below?

lara [203]

Given:

The matrix equation is:

$\begin{bmatrix}-18&3&5\end{bmatrix}-C=\begin{bmatrix}-22&1&12\end{bmatrix}$

To find:

The value of matrix C.

Solution:

Let $A=\begin{bmatrix}-18&3&5\end{bmatrix},B=\begin{bmatrix}-22&1&12\end{bmatrix}$ . Then the given equation can be rewritten as

$A-C=B$

$-C=B-A$

$C=-(B-A)$

$C=A-B$

On substituting the values of the matrices, we get

$C=\begin{bmatrix}-18&3&5\end{bmatrix}-\begin{bmatrix}-22&1&12\end{bmatrix}$

$C=\begin{bmatrix}-18-(-22)&3-1&5-12\end{bmatrix}$

$C=\begin{bmatrix}-18+22&2&-7\end{bmatrix}$

$C=\begin{bmatrix}-4&2&-7\end{bmatrix}$

Therefore, the correct option is C.

6 0

3 years ago

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