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2 years ago

What is the midpoint of a line segment that begins at the origin (0, 0) and has its endpoint at (-5, -12)?

Mathematics

1 answer:

crimeas [40]2 years ago

8 0

Answer:

The midpoint is (-2.5, -6)

Step-by-step explanation:

To find the x coordinate of the midpoint, average the x coordinates of the endpoints

(0+-5)/2 = -5/2 = -2.5

To find the y coordinate of the midpoint, average the y coordinates of the endpoints

(0+-12)/2 = -12/2 = -6

The midpoint is (-2.5, -6)

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3 years ago

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motikmotik

Answer:

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Step-by-step explanation:

We want to find the 8th term of a geometric sequence whose common ratio is 2/3 and whose first term is 7.

We can write a direct formula. Recall that the direct formula of a geometric sequence is given by:

$\displaystyle x_{n} = a\left(r\right)^{n-1}$

Where a is the initial term and r is the common ratio.

Substitute:

$\displaystyle x_{n} = 7\left(\frac{2}{3}\right)^{n-1}$

To find the 8th term, let n = 8. Substitute and evaluate:

$\displaystyle \begin{aligned} x_{8} &= 7\left(\frac{2}{3}\right)^{(8) - 1} \\ \\ &= 7\left(\frac{2}{3}\right)^{7} \\ \\ &= 7\left(\frac{128}{2187}\right) \\ \\ &= \frac{896}{2187} = 0.4096...\end{aligned}$

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2 years ago

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Step-by-step explanation:

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3 years ago

What is the midpoint of a line segment that begins at the origin (0, 0) and has its endpoint at (-5, -12)?​

What is the midpoint of a line segment that begins at the origin (0, 0) and has its endpoint at (-5, -12)?