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vichka [17]
3 years ago
10

The area of a rectangular swimming pool is 360 square feet. If the length of the swimming pool is 9 feet more than its width, fi

nd the length of the pool
Mathematics
1 answer:
Inessa [10]3 years ago
7 0

Answer:

l = 24ft

Step-by-step explanation:

A = lw

360 = (x + 9)(x)

360 = x^2 + 9x

0 = x^2 + 9x - 360

0 = (x + 24)(x - 15)

x ≠ -24 (length cannot be negative)

x = 15

l = 15 + 9

l = 24ft

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Gwar [14]

Example:

y = 2x + 1 is a linear equation:

  • When x increases, y increases twice as fast, so we need 2x
  • When x is 0, y is already 1. So +1 is also needed
  • And so: y = 2x + 1

Here are some example values:

x y = 2x + 1

-1 y = 2 × (-1) + 1 = -1

0 y = 2 × 0 + 1 = 1

1 y = 2 × 1 + 1 = 3

2 y = 2 × 2 + 1 = 5

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Each solution is a pair of numbers (x,y) that make the equation true. Solving a linear equation usually means finding the value of y for a given value of x. If the equation is already in the form y = mx + b, with x and y variables and m and b rational numbers, then the equation can be solved in algebraic terms.

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3 years ago
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Find the common diffirence in the arithmetic sequence 1, 6/4, 10/4, 3...​
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Answer:

See explanation

Step-by-step explanation:

6/4 = 1.5

10/4 = 2.5

Therefore the sequence is 1, 1.5, 2.5, 3

So the common difference is either 0.5 or 1

8 0
2 years ago
A system of equations is shown below: x + 3y = 5 (equation 1) 7x − 8y = 6 (equation 2) A student wants to prove that if equation
eduard

First Let we solve the Original system of equations:

equation (1): x+3y=5

equation (2): 7x-8y=6

Multiplying equation (1) by 7, we get

7x+21y=35                          -->(3)

7x-8y=6                           --> (2)

Subtracting,

29y=29 implies y=1

Thenx=5-3(1)=2

Thus the solution of the original equation isx=2, y=1.

Now Let we form the new equation:

Equation 2 is kept unchanged:

Equation (2):7x-8y=6

Equation 1 is replaced with the sum of equation 1 and a multiple of equation 2:

Equation (1): 8x-5y=11

Now solve this two equations: 8x-5y=11, \\                                                    7x-8y=6

Multiply (1) by 7 and (2) by 8,

56x-35y=77

56x-64y=48

Subtracting,29y=29 implies y=1

Then x=2.

so the solution for the new system of equation is x=2, y=1.

This Show that the solution to the system of equations 8x − 5y = 11 and 7x − 8y = 6 is the same as the solution to the given system of equations

4 0
3 years ago
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The answer is: f(x) = 3x
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Find the value of x in the triangle. Please show work. Help
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there is no triangle drawn

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