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3 years ago

6

Given a rectangular prism with width and height = 4x and length = 10x-6. The expression for the surface area of the rectangular

prism shown in the picture is 2[(4x)(4x)] 4[(10x - 6)(4x)]. Simplify this expression.

1 answer:

777dan777 [17]3 years ago

4 0

3

is the simplify expression

Step-by-step explanation:

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The midpoint of Line

enyata [817]

$\bf ~~~~~~~~~~~~\textit{middle point of 2 points } \\\\ A(\stackrel{x_1}{1}~,~\stackrel{y_1}{-1})\qquad B(\stackrel{x_2}{x}~,~\stackrel{y_2}{y}) \qquad \left(\cfrac{ x_2 + x_1}{2}~~~ ,~~~ \cfrac{ y_2 + y_1}{2} \right) \\\\\\ \left( \cfrac{x+1}{2}~~,~~\cfrac{y-1}{2} \right)~~=~~\stackrel{M}{(3~~,~~1)}\implies \begin{cases} \cfrac{x+1}{2}=3\\[1em] x+1=6\\ \boxed{x=5}\\[-0.5em] \hrulefill\\ \cfrac{y-1}{2}=1\\[1em] y-1=2\\ \boxed{y=3} \end{cases}$

4 0

3 years ago

Extra Credit #4

Hunter-Best [27]

Answer:

The next two numbers following:

431

141311

1114111321

311431131211

are:

132114132113111221

AND

11131221141113122113312211

Step-by-step explanation:

I shall explain the pattern below:

431 (just the digits 4, 3, and 1)

141311 (one 4 becomes 14, one 3 becomes 13, one 1 becomes 11 -> looking at each digit of the previous number, 431)

1114111321 (one 1 becomes 11, one 4 becomes 14, one 1 becomes 11, one three becomes 13, two consecutive 1s becomes 21 -> looking at each digit of the previous number, 141311)

311431131211 (three consecutive 1s becomes 31, one 4 becomes 14, 3 more consecutive 1s becomes 31, one 3 becomes 13, one 2 becomes 12, and one 1 becomes 11 -> looking at each digit of the previous number, 1114111321)

NEXT TWO NUMBERS:

one 3 (13), two consecutive 1s (21), one 4 (14), one 3 (13), two consecutive 1s (21), one 3 (13), one 1 (11), one 2 (12), two consecutive 1s (21)

that makes: 132114132113111221

one 1 (11), one 3 (13), one 2 (12), two consecutive 1s (21), one 4 (14), one 1 (11), one 3 (13), one 2 (12), two consecutive 1s (21), one 3 (13), three consecutive 1s (31), two consecutive 2s (22), one 1 (11)

that makes: 11131221141113122113312211

The rule is that the next number is essentially the previous number with the number of times each digit appears consecutively before each digit of the previous number. I know that sounds convoluted. Hopefully it makes enough sense. Let me know if I should explain more fully.

8 0

3 years ago

Below, enter x If the graph of the given equation is symmetric with respect to the x-axis, y if it is symmetric with respect to

ololo11 [35]

Answer:

Step-by-step explanation:

You can tell by looking at the form of each equation.

y = tx

This is a straight line that passes through the origin, so it symmetric with respect to the origin.

y = x²+1

This is an up-opening parabola with vertex at (0,1), so it is symmetrical about the y-axis.

y = x²+x = (x+½)² - ¼

This is an up-opening parabola with vertex at (-½,-¼). Not symmetrical to either axis nor to the origin.

Can't tell what "y = (1 + x2)3" means. Which terms are exponents?

5 0

3 years ago

An online photo services charge $20 to make a photo book with 16 pages each extra page cost a dollar 75 the cost to ship the com

Alisiya [41]

Answer:

The expression to determine the total cost in dollars is $y=25+0.75x$ .

Step-by-step explanation:

Given:

Service charge to make a photo book = $20

Cost per extra page = $0.75

Cost to ship the complete photo book = $5

We need to write expression to determine the total cost in dollars.

Solution:

Let the number of extra pages be denoted by 'x'.

Also Let the Total cost be denoted by 'y'.

Now we can say that;

Total cost will be equal to sum of Service charge to make a photo book and Cost per extra page multiplied by number of extra pages and Cost to ship the complete photo book.

framing in equation form we get;

$y=20+0.75x+5\\\\y=25+0.75x$

Hence the expression to determine the total cost in dollars is $y=25+0.75x$ .

3 0

3 years ago

Line A passes through the points (1, -1) and (-2, 8).

Viefleur [7K]

The answer to this question will be D

5 0

3 years ago