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laiz [17]
3 years ago
10

Y=4,200x +1400 solve for x

Mathematics
2 answers:
Jlenok [28]3 years ago
7 0

Steps to solve:

y = 4,200x + 1,400

~Subtract 4,200 to both sides

y - 4,200x = 4,200x - 4,200 + 1,400

~Simplify

y - 4,200x = 1,400

~Subtract y to both sides

y - y - 4,200x = 1,400 - y

~Simplify

-4,200x = 1,400 - y

~Divide -4,200 to both sides

-4,200x/-4,200 = 1,400-y/-4,200

~Simplify

x = 1,400-y/-4,200

Best of Luck!

Ilia_Sergeevich [38]3 years ago
3 0

Answer:

(y-1400)/4200 = x

Step-by-step explanation:

y=4,200x +1400

Subtract 1400 from each side

y-1400=4,200x +1400-1400

y - 1400 = 4200x

Divide each side by 4200

(y-1400)/4200 = 4200x/4200

(y-1400)/4200 = x

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Question
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Given:

CH = 3960 miles

Altitude = 240 miles

To find:

The distance from the space station to the horizon.

Solution:

The reference image for answer is attached below.

Radius = 3960 miles

CD = CH = 3960

ED = 240

EC = CD + ED

     = 3960 + 240

EC = 4200 miles

By Pythagorean theorem:

E C^{2}=E H^{2}+C H^{2}

4200^{2}=E H^{2}+3960^{2}

17640000=E H^{2}+15681600

Subtract 15681600 from both sides.

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The distance from space station to the horizon is approximately 1400 miles.

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