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Olegator [25]
9 months ago
12

One endpoint of a line segment is located at (-15, -3). The other

Mathematics
1 answer:
m_a_m_a [10]9 months ago
6 0

The ordered pair for the other end is (35, 3).

Here, first endpoint = (-15, -3)

Midpoint = (10, 0)

From the midpoint formula, we know that:

M = (x1 + x2)/2 , (y1 + y2)/2

So, here M = (10, 0)

x2 = -15

y2 = -3

We will separate the equation (1), in two parts to get the value of x1 and y1.

(x1 + x2)/2 = 10 and (y1 + y2)/2 = 0

For x1,

(x1 + (-15))/2 = 10

x1 = 35

For y1,

(y1 + (-3))/2 = 0

y1 = 3

So, x1 = 35 and y1 = 3.

Therefore, the ordered pair that represents the other end of the segment is (35, 3).

Learn more about midpoint formula here -

brainly.com/question/11085164

#SPJ9

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Write the sentence as a proportion: $3.50 for 9 bottles is equivalent to $31.50 for 81 bottles.
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$0.39:1

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Answer:

  1. D. f^-1(x) = log2(x -6)
  2. 4x^2 -3 . . . . x ≤ 0
  3. B. √(x^5) -3√(x^3) -18√x

Step-by-step explanation:

1. When you replace f(x) by x and x by y, you have

... x = 2^y + 6

The first thing you do is subtract 6; then you take the base-2 logarithm:

... (x -6) = 2^y

... log2(x -6) = y = f^-1(x)

You know that to get the y-term by itself, you must subtract 6. Anything else you do will operate on (x-6). Only answer choice D has that sort of construction.

2. When you swap x and y and solve for y, you have ...

... x = -1/2√(y+3)

... -2x = √(y +3) . . . . . . multiply by -2

... (-2x)^2 = y +3 . . . . . square

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3. The product of the two functions is ...

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