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Ilia_Sergeevich [38]
3 years ago
14

Find the coordinates of the missing endpoint given E is the midpoint of DF. F(5,8) E(4,3)

Mathematics
2 answers:
masha68 [24]3 years ago
7 0

Answer:

(3,-2)

Step-by-step explanation:

Midpoints bisect a line into two perfectly congruent segments. So, you can find that f was translated down 5=(8-3) and left 1=(5-4). then repeat this step by subtracting x of point e by 1 and the y of point e by 5 to get (3,-2)

Valentin [98]3 years ago
7 0

Answer:

(3, -2)

Step-by-step explanation:

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

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

5 + x / 2 = 4, 2(5 + x / 2) = 4(2) = 5 + x = 8, x = 3

8 + y / 2 = 3, 2(8 + y / 2) = 3(2) = 8 + y = 6, y = -2

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3.33 repeating. if you look at it it's 2.70 what I would do is take away the zero for a minute and see how many times 9 goes into 27
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What is the answer? <br> A)44<br> B)42<br> C)45<br> D)48
OLEGan [10]

Answer:

44

Step-by-step explanation:

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A pizza pan is removed at 9:00 PM from an oven whose temperature is fixed at 450°F into a room that is a constant 70°F. After 5​
gladu [14]

Answer:

A) It will get to a temperature of 125°F at 9:19 PM

B) It will get to a temperature of 150°F at 9:16 PM

C) as time passes temperature approaches the initial temperature of 450°F

Step-by-step explanation:

We are given;

Initial temperature; T_i = 450°F

Room temperature; T_r = 70°F

From Newton's law of cooling, temperature after time (t) is given as;

T(t) = T_r + (T_i - T_r)e^(-kt)

Where k is cooling rate and t is time after the initial temperature.

Now, we are told that After 5​ minutes, the temperature is 300°F.

Thus;

300 = 70 + (450 - 70)e^(-5k)

300 - 70 = 380e^(-5k)

230/380 = e^(-5k)

e^(-5k) = 0.6053

-5k = In 0.6053

-5k = -0.502

k = 0.502/5

k = 0.1004 /min

A) Thus, at temperature of 125°F, we can find the time from;

125 = 70 + (450 - 70)e^(-0.1004t)

125 - 70 = 380e^(-0.1004t)

55/380 = e^(-0.1004t)

In (55/380) = -0.1004t

-0.1004t = -1.9328

t = 1.9328/0.1018

t ≈ 19 minutes

Thus, it will get to a temperature of 125°F at 9:19 PM

B) Thus, at temperature of 150°F, we can find the time from;

150 = 70 + (450 - 70)e^(-0.1004t)

150 - 70 = 380e^(-0.1004t)

80/380 = e^(-0.1004t)

In (80/380) = -0.1004t

-0.1004t = -1.5581

t = 1.5581/0.1004

t ≈ 16 minutes.

Thus, it will get to a temperature of 150°F at 9:16 PM

C) As time passes which means as it approaches to infinity, it means that e^(-kt) gets to 1.

Thus,we have;

T(t) = T_r + (T_i - T_r)

T_r will cancel out to give;

T(t) = T_i

Thus, as time passes temperature approaches the initial temperature of 450°F

6 0
2 years ago
What is the parent function of the graph?
Alik [6]

Answer:

y = |x| – 4

Step-by-step explanation:

If we substitute x as 0, we get -4 therefore this is the answer.

8 0
3 years ago
Sally can drive 750 miles in 12 hours and 30 minutes. What is her unit rate in miles per hour?
Kaylis [27]

Answer:

60

Step-by-step explanation:

750÷12.5=60

Convert 12 and a half hours into a decimal.=12.5

You would divide the 750 by the 12.5.

8 0
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