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eimsori [14]
3 years ago
14

The width of a rectangle is 7 meters greater than its length

Mathematics
1 answer:
olga_2 [115]3 years ago
8 0

Answer:

Step-by-step explanation:

The quadratic equation in standard form for the equation that would represent the area of the rectangle is x^2 + 7c - 170 = 0. The area (A) of the rectangle with length, x, and width, y, is: A = x * y. The width of a rectangle is 7 meters greater than its length: y = 7 + l. The area of the rectangle is 170 square meters: A = 170. Substitute A and y in the formula A = x * y. 170 = x * (7 + x). 170 = 7x + x^2. The standard form of the quadratic equation is ax^2 + bx + c = 0. Therefore, 170 = 7x + x^2 in the standard form is: x^2 + 7c - 170 = 0.

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Write the following series in sigma notation.<br> 7 + 16 + 25 +34 +43 +52 + 61
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The series 7 + 16 + 25 +34 +43 +52 + 61 is an illusration of arithmetic series

The sigma notation of the series is: \sum\limits^7_{n=1} {9n - 2}

<h3>How to write the series in sigma notation?</h3>

The series is given as:

7 + 16 + 25 +34 +43 +52 + 61

The above series is an arithmetic series, with the following parameters

  • First term, a = 7
  • Common difference, d = 9
  • Number of terms, n = 7

Start by calculating the nth term using:

a(n) = a + (n - 1) * d

This gives

a(n) = 7 + (n - 1) * 9

Evaluate the product

a(n) = 7  - 9 + 9n

Evaluate the difference

a(n) = 9n - 2

So, the sigma notation is:

\sum\limits^7_{n=1} {9n - 2}

Read more about arithmetic series at:

brainly.com/question/6561461

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2 years ago
What is -3 1/3 - 2 it has to be a negative or positive whole number or fraction
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<em>《</em><em>°</em><em>♡</em><em> </em><em>i think that the answer to this question is -5 1/3</em><em> </em><em>(</em><em>-16</em><em>/</em><em>3</em><em>)</em><em> </em><em>hope this helps!</em><em> </em><em>♡</em><em>°</em><em>》</em>

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