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RideAnS [48]
3 years ago
15

Solve the system of linear equations. y = -2x - 4 y = 2x – 4.

Mathematics
2 answers:
creativ13 [48]3 years ago
6 0

good luck! :D

have a nice day/night

Dahasolnce [82]3 years ago
3 0
Y = -2x -4

Simplifying
y = -2x + -4

Reorder the terms:
y = -4 + -2x

Solving
y = -4 + -2x

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Simplifying
y = -4 + -2x
___________________________________
Hope that helps you out :)
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A balloon is rising at a constant speed of 5 ftys. A boy is cycling along a straight road at a speed of 15 ftys. When he passes
Ket [755]

Answer:

  13 ft/s

Step-by-step explanation:

t seconds after the boy passes under the balloon the distance between them is ...

  d = √((15t)² +(45+5t)²) = √(250t² +450t +2025)

The rate of change of d with respect to t is ...

  dd/dt = (500t +450)/(2√(250t² +450t +2025)) = (50t +45)/√(10t² +18t +81)

At t=3, this derivative evaluates to ...

  dd/dt = (50·3 +45)/√(90+54+81) = 195/15 = 13

The distance between the boy and the balloon is increasing at the rate of 13 ft per second.

_____

The boy is moving horizontally at 15 ft/s, so his position relative to the spot under the balloon is 15t feet after t seconds.

The balloon starts at 45 feet above the boy and is moving upward at 5 ft/s, so its vertical distance from the spot under the balloon is 45+5t feet after t seconds.

The straight-line distance between the boy and the balloon is found as the hypotenuse of a right triangle with legs 15t and (45+5t). Using the Pythagorean theorem, that distance is ...

  d = √((15t)² + (45+5t)²)

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2 years ago
Solve for z. 5z – 8 = 32
jarptica [38.1K]
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Vis inversely proportional to r, when r = 3, V= 10.
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Answer:

Constant of proportionality = 30

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Step-by-step explanation:

Inverse proportion: V*r = constant

Given r=3, V=10, constant = V*r = 30

Example:

r = 6, V = 30/6 = 5

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