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mars1129 [50]
3 years ago
7

-/1 points

Mathematics
1 answer:
MatroZZZ [7]3 years ago
5 0
<h3>If the width w is 55 feet and the perimeter P is 290 feet. </h3><h3>Use the formula P = 21 + 2w to find the length</h3>

<em><u>Solution:</u></em>

<em><u>The perimeter of rectangle is given as:</u></em>

P = 2(length + width)

From given,

length = ?

width = 55 feet

perimeter = 290 feet

Therefore,

290 = 2(length + 55)

length + 55 = \frac{290}{2}\\\\length + 55 = 145\\\\length = 145 - 55\\\\length = 90

Thus length of rectangular lot is 90 feet

<h3>Use the equation y = (x + 1)2 - 10 to find the value of y when x is -2</h3>

<em><u>Solution:</u></em>

<em><u>Given equation is:</u></em>

y = (x + 1)^2 - 10

To find: y when x = -2

Substitute x = -2

y = (-2 + 1)^2 -10\\\\y = -1^2 -10\\\\y = 1 - 10\\\\y = -9

Thus y is -9 when x is -2

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20 laps ≈ 16.67 minutes 
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How would you describe the solution to this system of equations?
Amanda [17]

Answer:

reffrents a number

Step-by-step explanation:

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the length of a rectangle is 6 cm more than three times the width of the perimeter of the rectangle is 36 cm, what are the dimen
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2cm squared is the answer
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Find the value of x. Round to the<br> nearest tenth.<br> X<br> 37<br> 6<br> X=<br> Enter
Schach [20]

<u>Answer:</u>

<h2>x ≈ 4.5</h2>

<u>Steps:</u>

tan(37°) = 0.75..

tan(37°) = x/6

x/6 = 0.75..

x = 0.75.. × 6

x = 4.52.. ≈ 4.5

4 0
3 years ago
Which linear equation has no solution?
olga_2 [115]

Answer:

Option A

Step-by-step explanation:

Given:

  • a. 3x-5= 3x + 5
  • b. 3x-5= 3x - 5
  • c. 3x - 5 = 2x+5
  • d. 3x-5 = 2x + 10

To find:

  • Which one of the linear equations have no solution.

Solution:

a)  3x-5= 3x + 5

Add 5 to both sides

3x-5= 3x + 5

3x - 5 + 5 = 3x + 5 + 5

Simplify

(Add the numbers)

3x - 5 + 5 = 3x + 5 + 5

3x = 3x + 5 + 5

(Add the numbers)

3x  = 3x + 5 + 5

3x = 3x + 10

Subtract 3x from both sides

3x = 3x + 10

3x - 3x = 3x + 10 - 3

Simplify

(Combine like terms)

3x -3x = 3x + 10 - 3

0 = 3x + 10 - 3

(Combine like terms)

0 = 3x + 10 - 3

0 = 10

The input is a contradiction: it has no solutions

b)  3x-5= 3x - 5

Since both sides equal, there are infinitely many solutions.

c)  3x - 5 = 2x+5

Add 5 to both sides

3x = 2x + 5 + 5

Simplify  2x + 5 + 5 to 2x + 10

3x = 2x + 10

Subtract 2x from both sides

3x - 2x = 10

Simplify 3x - 2x to x.

x = 10

d) 3x-5 = 2x + 10

Add 5 to both sides

3x = 2x + 10 + 5

Simplify 2x + 10 + 5 to 2x + 15

3x = 2x + 15

Subtract 2x from both sides

3x - 2x = 15

Simplify 3x -2x to x.

x = 15

--------------------------------------------

Answer:

As you can see all c and d both have solutions, eliminating them as options. Option B has infinite solutions leaving Option A which has no solutions.

Therefore, <u><em>Option A</em></u> is the linear equation that has no solution.

3 0
2 years ago
Read 2 more answers
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