The nth term of the arithmetic series is given by
Now find the first five terms
Thus the first five terms of the series is
Now find the partial sum of the series:
The distance from the park to the library 2/4<3/4
To answer this item, we let x be the time in which Tyler and Sophia will be able to cover the same distance along the circular track. Since Sophia runs faster, she will be able to finish the track and y meters more while Tyler will be able to finish y meters only.
5(x) = 400 + y
4(x) = y
The values of x and y are 400 and 1600. Thus, it will take 400 seconds for then to meet again.
The equation of the line that passes through (2, -1) and is parallel to a line that has a slope of 3/4 is: 3x - 4y = 10.
<h3>What is the Equation of a Line in Standard Form?</h3>
The equation of a line can be expressed as, Ax + By = C, which is in standard form.
Given:
- A point (a, b) = (2, -1)
- Slope (m) = 3/4.
Plug the values into the point-slope form, y - b = m(x - a):
y - (-1) = 3/4(x - 2)
y + 1 = 3/4(x - 2)
4(y + 1) = 3(x - 2)
4y + 4 = 3x - 6
4 = 3x - 6 - 4y
4 + 6 = 3x - 4y
10 = 3x - 4y
3x - 4y = 10
The equation in standard form is: 3x - 4y = 10.
Learn more about the equation of a line in standard form on:
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Answer:
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Step-by-step explanation:
idk bro sorry