What is y+1=2(x-4) written in standard form

Mathematics

2 answers:

IrinaVladis [17]3 years ago

5 0

Answer:

2x - y = 9

Step-by-step explanation:

The equation of a line in standard form is

Ax + By = C ( A is a positive integer and B, C are integers )

Rearrange y + 1 = 2(x - 4) into this form

y + 1 = 2x - 8 ( add 8 to both sides )

y + 9 = 2x ( subtract y from both sides )

9 = 2x - y ⇒ 2x - y = 9 ← in standard form

Verdich [7]3 years ago

3 0

Awnser: 2x-y=9

Step-by-step solution: y+1=2(x-4), step one simplify the parenthases y+1=2x-8, step two move all variables to one side of the equation, 1=2x-8-y, step three move all constants to the other side, 9=2x-y. And there we have it. And also if you end with more negatives than positives just multiply everything by negative one.

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A sphere is partially filled with air. If the volume of the sphere is increasing at a rate of 548 cubic feet per second, what is

Rama09 [41]

Answer:

137/(36π) ft/s

Step-by-step explanation:

The rate of change of volume will be the product of the rate of change of radius and the area of the sphere. The area of the sphere is ...

A = 4πr² = 4π(6 ft)² = 144π ft²

Then the relationship above is ...

dV/dt = A·dr/dt

548 ft³/s = (144π ft²)·dr/dt

dr/dt = (548 ft³/s)/(144π ft²) = 137/(36π) ft/s ≈ 1.2113 ft/s