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nydimaria [60]
3 years ago
8

A rectangle's length is three times its width. Let w denote the rectangle's width. What polynomial represents the rectangle's ar

ea?
Mathematics
1 answer:
ioda3 years ago
7 0
Hello,

w=width
3w=the length
Area=3*w*w=3w²

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In order to solve for x in the equation 3x - 18 = 78, What is the FIRST step?
anygoal [31]

Answer:

add 18 to both sides, giving you 3x = 96

6 0
3 years ago
I REALLY NEED HELP PLEASE!!  
disa [49]


part A)

\bf \begin{array}{ccllll}
hours(x)&velocity(y)\\
-----&-----\\
1&6\\
3&2
\end{array}\\\\
-------------------------------\\\\


\bf \begin{array}{lllll}
&x_1&y_1&x_2&y_2\\
%   (a,b)
&({{ 1}}\quad ,&{{ 6}})\quad 
%   (c,d)
&({{ 3}}\quad ,&{{ 2}})
\end{array}
\\\\\\
% slope  = m
slope = {{ m}}= \cfrac{rise}{run} \implies 
\cfrac{{{ y_2}}-{{ y_1}}}{{{ x_2}}-{{ x_1}}}\implies \cfrac{2-6}{3-1}\implies \cfrac{-4}{2}\implies -2

\bf y-{{ y_1}}={{ m}}(x-{{ x_1}})\implies y-6=-2(x-1)\\
\left. \qquad   \right. \uparrow\\
\textit{point-slope form}
\\\\\\
y-6=-2x+2\implies y=-2x+2+6\implies \boxed{y=-2x+8}

part B)

well, we know y = -2x+8.... so.. what's the runner's velocity after 5hours? well, x = 5, thus y = -2(5) +8 ---> y = -2

to graph it, well, is a LINEar equation, meaning the graph is a LINE, and to graph a line, all you need is two points, and by now, you have more than two.. so graph it away.
7 0
3 years ago
The area of a square poster is 31 square inches. find the length of one side of the poster. Explain
kobusy [5.1K]

Answer:

5.57

Step-by-step explanation:

In order to find the are of a square you would use the equation <em>a²</em>. However, since you are finding the length of one side and its a square, you use the equation \sqrt{a}. The area of this square is 31 sq in., so you would replace a with 31. The equation then becomes \sqrt{31}<em>. </em>When out into a calculator, the answer is 5.567764... which rounded up to the nearest hundreth is 5.57.

5 0
3 years ago
Please help
pychu [463]

Answer:

<h2>        y = x² - 1</h2>

Step-by-step explanation:

y = -1 for x = 0 {point(0, -1)} means -1 at the end of formula

If we add 1 to y-coordinate of  every given point we get the squares of x-coordinate:

(1, 0):   1² - 1 = 0

(2, 3):   2² - 1 = 4 - 1 = 3

(3, 8):   3² - 1 = 9 - 1 = 8

(4, 15):   4² - 1 = 16 - 1 = 15

So for any x:

(x, y)   y = x² - 1

6 0
3 years ago
The city airport and the train station are 45 miles apart. there are 9 gas stations equally spaced between the airport and train
Zielflug [23.3K]

The distance between the two adjacent gas stations will be 5 miles.

<h3>What is the difference between a ratio and a proportion?</h3>

A ratio is an ordered pair of integers a and b expressed as a/b, with b never equaling 0. A percentage is a mathematical expression in which two ratios are specified to be equal.

Distance between city airport and the train station = 45 miles

Stations equally spaced between the airport and train station=9

Let the space between two gas stations will be x;

x = 45/9

x=5 mile.

Hence, the distance between the two adjacent gas stations will be 5 miles.

To learn more about the ratio, refer to the link;

brainly.com/question/14335762

#SPJ1

6 0
2 years ago
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