The length is 15 feet.
Write them both as ratios!
6/10=9/x
6x=90
x=15
Answer:
120
Step-by-step explanation:
In a nutshell, the Riemann's sum that represents the <em>linear</em> equation is A ≈ [[4 - (- 6)] / 5] · ∑ 2 [- 6 + i · [[4 - (- 6)] / 5]] - [[4 - (- 6)] / 5], for i ∈ {1, 2, 3, 4, 5}, whose picture is located in the lower left corner of the image.
<h3>How to determine the approximate area of a definite integral by Riemann's sum with right endpoints</h3>
Riemann's sums represent the sum of a <em>finite</em> number of rectangles of <em>same</em> width and with <em>excess</em> area for y > 0 and <em>truncated</em> area for y < 0, both generated with respect to the <em>"horizontal"</em> axis (x-axis). This form of Riemann's sum is described by the following expression:
A ≈ [(b - a) / n] · ∑ f[a + i · [(b - a) / n]], for i ∈ {1, 2, 3, ..., n}
Where:
- a - Lower limit
- b - Upper limit
- n - Number of rectangle of equal width.
- i - Index of the i-th rectangle.
Then, the equation that represents the <em>approximate</em> area of the curve is: (f(x) = 2 · x - 1, a = - 6, b = 4, n = 5)
A ≈ [[4 - (- 6)] / 5] · ∑ 2 [- 6 + i · [[4 - (- 6)] / 5]] - [[4 - (- 6)] / 5], for i ∈ {1, 2, 3, 4, 5}
To learn more on Riemann's sums: brainly.com/question/28174119
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Answer:
Step-by-step explanation:
We can write the equation of a line in 3 different forms including slope intercept, point-slope, and standard depending on the information we have. We have two standard form equations which we will get a slope and a y-intercept from. We will convert each to slope intercept form to get the information. We will then write a new slope-intercept equation and convert to standard form.
3x-5y=7 has the same slope as the line. Let's convert.
The slope is .
2y-9x=8 has the same y-intercept as the line. Let's convert.
The y-intercept is 4.
We take and b=4 and substitute into y=mx+b.
We now convert to standard form.
For standard form we need the coefficients of x and y to be not zero or fractions. We need integers but the coefficient of x cannot be negative. So we multiply the entire equation by -5 to clear the denominators.