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iren2701 [21]
2 years ago
14

PLEASE HELP I WILL GIVE BRAINLEST AND 20 POINTS PLEASEEEE

Mathematics
1 answer:
rewona [7]2 years ago
6 0

Answer:

Question 4: Which equation is parallel to the above equation and passes through the point (35, 30)

y= \frac{5}{7} x + 5  is the correct answer, I found this by inputting the x and y value of the coordinate (35, 30) onto the equation and solving for y-intercept since the slope of all equations is the same (since it's traveling parallel)

30 = \frac{5}{7} (35) + y\\30 = 25 + y\\5 = y

so the equation would be y= \frac{5}{7} x + 5

Question 5: Which equation is perpendicular to the above equation and passes through the point (35, 30)

y=\frac{-7}{5} x+79 is the correct answer, I found this using the same method as before, input coordinate values into the equation and solve for the y-intercept (The only thing changed from the last answer is the opposite reciprocal slope).

30 = \frac{-7}{5}(35) + y \\30 = -49 + y  \\79 = y

so the equation would be y=\frac{-7}{5} x+79

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jeka94

9514 1404 393

Answer:

  8000π mm^3/s ≈ 25,133 mm^3/s

Step-by-step explanation:

The rate of change of volume is found by differentiating the volume formula with respect to time.

  V = 4/3πr^3

  V' = 4πr^2·r'

For the given numbers, this is ...

  V' = 4π(20 mm)^2·(5 mm/s) = 8000π mm^3/s ≈ 25,133 mm^3/s

_____

<em>Additional comment</em>

By comparing the derivative to the area formula for a sphere, you see that the rate of change of volume is the product of the area and the rate of change of radius. This sort of relationship will be seen for a number of different shapes.

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B

Step-by-step explanation:

using the two points, you can find the slop using rise over run. For every two up, you go three over to the left. Your slope is -2/3, which means the only possible answer is B

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