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2 years ago

Find the midpoint M of the line segment joining the points P = (4, 2) and Q = (-6, -8)

Mathematics

2 answers:

const2013 [10]2 years ago

4 0

Answer:

(- 1, - 3 )

Step-by-step explanation:

the coordinates of the midpoint are the average of the coordinates of the endpoints, then

midpoint = ( $\frac{4-6}{2}$ , $\frac{2-8}{2}$ ) = ( $\frac{-2}{2}$ , $\frac{-6}{2}$ ) = (- 1, - 3 )

stich3 [128]2 years ago

3 0

(Sum of x coordinates divided by 2,sum of y coordinates divided by 2)
(4+-6/2 , 2+-8/2)
(-2/2,-6/2)
(-1,-3) =M

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Put the following numbers in order from least to greatest 2/10 2/9 1/4 .01 .21

padilas [110]

.01 2/10 .21 2/9 1/4

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3 years ago

In 2012 your car was worth $10,000. In 2014 your car was worth $8,850. Suppose the value of your car decreased at a constant rat

monitta

Answer:

The function to determine the value of your car (in dollars) in terms of the number of years t since 2012 is:

$f(t) = 10000(0.9407)^t$

Step-by-step explanation:

Value of the car:

Constant rate of change, so the value of the car in t years after 2012 is given by:

$f(t) = f(0)(1-r)^t$

In which f(0) is the initial value and r is the decay rate, as a decimal.

In 2012 your car was worth $10,000.

This means that $f(0) = 10000$ , thus:

$f(t) = 10000(1-r)^t$

2014 your car was worth $8,850.

2014 - 2012 = 2, so:

$f(2) = 8850$

We use this to find 1 - r.

$f(t) = 10000(1-r)^t$

$8850 = 10000(1-r)^2$

$(1-r)^2 = \frac{8850}{10000}$

$(1-r)^2 = 0.885$

$\sqrt{(1-r)^2} = \sqrt{0.885}$

$1 - r = 0.9407$

Thus

$f(t) = 10000(1-r)^t$

$f(t) = 10000(0.9407)^t$

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3 years ago

A line is reflected. Which of these could be the result? Pls help

Arte-miy333 [17]

Answer:

Step-by-step explanation:

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3 years ago

Read 2 more answers

In the coordinate plane, choose the graph with the conditions given.<br><br> x = -3

finlep [7]

You have not given any graphs to choose from but x=-3 would be the graph that has a vertical line running through every point that has -3 as an x coordinate and would cross the x axis (the horizontal axis) at -3

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3 years ago

Could someone please help me. Thanks!!! 12 points!

Svetlanka [38]

The horizontal beams are what I like to think of as "rail road tracks". The metal portion of the tracks anyway. Notice how angle 2 and angle 8 are inside the tracks, so we consider them "interior angles"

Furthermore, they are on opposite or alternate sides of the transversal line. The transversal line is the non-parallel line that cuts through the "rail road tracks".

Put those two facts together and we get "alternate interior angles" as our final answer

8 0

3 years ago