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Simora [160]
3 years ago
13

If the length of a rectangular playground is represented by the expression 2x - 3, and the width is represented by 5x + 9, what

expression represents the area of the playground. Leave your answer in standard form. Show all work.
Mathematics
1 answer:
Nimfa-mama [501]3 years ago
3 0

Answer:

The expression for area of rectangle in standard form is: 10x^2+3x-27

Step-by-step explanation:

The area of rectangle is given by:

Area = Length * Width

Here, in the question, we are given length and width of the rectangle

Length = 2x-3

Width = 5x+9

The area of the rectangle will be:

Area = (2x-3)(5x+9)\\= 2x(5x+9)-3(5x+9)\\= 10x^2+18x-15x-27\\= 10x^2+3x-27

Hence,

The expression for area of rectangle in standard form is: 10x^2+3x-27

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A truck enters a highway driving 60 mph. A car enters the highway at the same place 5 minutes later and drives 74 mph in the sam
vazorg [7]
Recall your d = rt, distance = rate * time.

let's say by the time the car gets in the highway, the truck has already been running for 5 minutes, and say by the time they meet the truck has been running for "t" hours, so the car has then been runnning for 5 minutes less than "t", now, since "t" is hours well, 5 minutes is just 5/60 or 1/12 of "t", so the car has been running when they meet for "t - 1/2"

now, just before the car passes the truck, they first have to meet, at that point, the distance travelled by both is exactly the same, say "d" miles.

\bf \begin{array}{lccclll}
&\stackrel{miles}{distance}&\stackrel{mph}{rate}&\stackrel{hours}{time}\\
&------&------&------\\
Truck&d&60&t\\
Car&d&74&t-\frac{1}{12}
\end{array}
\\\\\\
\begin{cases}
\boxed{d}=60t\\
d=74\left( t-\frac{1}{12} \right)\\
----------\\
\boxed{60t}=74\left( t-\frac{1}{12} \right)
\end{cases}
\\\\\\
60t=74t-\cfrac{37}{6}\implies \cfrac{37}{6}=14t\implies \cfrac{37}{84}=t

which is about 26 minutes and 25 seconds.
8 0
3 years ago
Which of the following is an equivalent statement?
zheka24 [161]
I think that it is CD overbar equals XY overbar i think but i really don't know.

4 0
4 years ago
PLS HELP .........................
Vedmedyk [2.9K]

Answer:

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Step-by-step explanation:

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3 years ago
A professor had students keep track of their social interactions for a week. The
WINSTONCH [101]

Answer:

7

Step-by-step explanation:

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4 years ago
Select True or False.
nikitadnepr [17]

Answer:true

Step-by-step explanation:

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3 0
3 years ago
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