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Black_prince [1.1K]
3 years ago
14

A rectangular excercise.mat has a perimater of 48 feet. The length of the mat is twice the width. Write and solve an equation to

determine the length in feet of the mat.​

Mathematics
1 answer:
Salsk061 [2.6K]3 years ago
4 0

Answer:

l = 16 feet

Step-by-step explanation:

P = a + b + c + d.

P = 2x + x + 2x + x = 48

6x = 48

x = 48/6

x = 8 feet

Thus, length = 2x = 2(8) = 16 feet

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What is the intermediate step in the form (x+a)^2=b(x+a)
Step2247 [10]

Answer:

The intermediate step are;

1) Separate the constants from the terms in x² and x

2) Divide the equation by the coefficient of x²

3) Add the constants that makes the expression in x² and x a perfect square and factorize the expression

Step-by-step explanation:

The function given in the question is 6·x² + 48·x + 207 = 15

The intermediate steps in the to express the given function in the form (x + a)² = b are found as follows;

6·x² + 48·x + 207 = 15

We get

1) Subtract 207 from both sides gives 6·x² + 48·x = 15 - 207 = -192

6·x² + 48·x = -192

2) Dividing by 6 x² + 8·x = -32

3) Add the constant that completes the square to both sides

x² + 8·x + 16 = -32 +16 = -16

x² + 8·x + 16 = -16

4) Factorize (x + 4)² = -16

5) Compare (x + 4)² = -16 which is in the form (x + a)² = b

7 0
3 years ago
A rectangle has a length of (5x+2) and a width of (3x-1) with an area of 308 square units. Find the perimeter
nadya68 [22]
See photo. Hope this helps

7 0
3 years ago
How does the graph of f(x)=x² compare with the graph of f(x)=|x²|
gladu [14]

Answer:

They are the same.

Step-by-step explanation:

The graphs are same because <em>x</em>² is always positive, so the absolute value part is redundant.

3 0
3 years ago
HELP IS FOR TODAY EXERCISE 2 SIMPLIFY FRACTIONS
Talja [164]

Answer:

Do u have English version?

Step-by-step explanation:

6 0
3 years ago
X+5+4-5=x+54<br>Help !!!​
max2010maxim [7]
  • Simplify both sides of the equation

=>x+5+4−5=x+54

=>x+5+4+−5=x+54

=>(x)+(5+4+−5)=x+54(Combine Like Terms)

=>x+4=x+54

=>x+4=x+54

  • Subtract x from both sides

=>x+4−x=x+54−x

=>4=54

  • Subtract 4 from both sides

=>4−4=54−4

=>0=50

  • There are no solutions
5 0
2 years ago
Read 2 more answers
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