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Kamila [148]
4 years ago
6

A grid shows the positions of a subway stop and your house. The subway stop is located at (7, -7) and your house is located at (

-3, 3). What is the distance, to the nearest unit, between your house and the subway stop?
Mathematics
2 answers:
Marizza181 [45]4 years ago
4 0
Distance = \sqrt{(x_2-x_1)^2 + (y_2-y_1)^2}
so plug in the coordinates and you will get 14.14 units 
Arte-miy333 [17]4 years ago
4 0

Answer:

Distance between house and the subway stop = 14 units

Step-by-step explanation:

By distance formula the distance between (a,b) and (c,d) is \sqrt{(c-a)^2+(d-b)^2}

Here we need to find distance between (7,-7) and (-3,3)

Distance between house and the subway stop \sqrt{(-3-7)^2+(3-(-7))^2}=\sqrt{100+100}=\sqrt{200}=14.14

Distance between house and the subway stop = 14 units

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From the top of an apartment building, the angle of depression to a car parked on the street below is 32 degree. The car is park
Citrus2011 [14]

Answer: The height of the building = 56 feet.

Step-by-step explanation:

Let AB be the height of the building and BC be the distance of the car from the building on the ground.

Now , ∠ C = 32°   [Alternate interior angles ]

According to the trigonometry,

\tan x =\dfrac{Perpenicular}{base}\\\\\Rightarrow\ \tan 32^{\circ} =\dfrac{AB}{90}\\\\\Rightarrow\ 0.6248693519=\dfrac{AB}{90}\\\\\Rightarrow\ AB = 90\times 0.6248693519=56.238241671\approx56

Hence, the height of the building = 56 feet.

6 0
3 years ago
What decimal represents the fraction 1/4
Sedaia [141]

Answer:

0.25

Step-by-step explanation:

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3 0
2 years ago
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What is 1.04 to the 1/12 power
LiRa [457]
1.04 ^ 1/12 = 0.086666666
or
1.04 ^ 1/12 = 13/150
8 0
3 years ago
Solve for x: 5x\10=2 is it (a) 1 (b) 4 (c) 5 (d) 20
OleMash [197]
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The function h is a quadratic function whose graph is a translation 3 units left and 4 units up of the parent
jeka57 [31]

Answer:

D ( if you add +4 to the (x + 3)^2)

Step-by-step explanation:

Parent function is f(x) = x^2

A translation 3 units left gives y = )x + 3)^2

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Standard form :

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