2 years ago

Y=-5/3x+3 Y=1/3x-3 (3,2)

Mathematics

1 answer:

Lunna [17]2 years ago

3 0

Answer:

Step-by-step explanation:

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A blueberry pie is shot out of a pie cannon from a height of 6m and with a velocity of 60 m/s. How many seconds will pass before

sveta [45]

Answer: 1.106 s

Step-by-step explanation:

This situation is related to projectile motion and one the equation that models the height of the blueberry pie in time is:

$y=y_{o}+V_{o}sin(\theta) t-\frac{1}{2}gt^{2}$

Where:

$y=0 m$ is the blueberry pie final height (when it hits the ground)

$y_{o}=6 m$ is the blueberry pie initial height

$V_{o}=60 m/s$ is the blueberry pie initial velocity

$\theta=0 \°$ is the angle, assuming the pie was shot horizontally

$t$ is the time

$g=9.8 m/s^{2}$ is the acceleration due gravity

Rewriting the equation:

$0=y_{o}-\frac{1}{2}gt^{2}$

Isolating $t$ :

$t=\sqrt{\frac{2y_{o}}{g}}$

$t=\sqrt{\frac{2(6 m)}{9.8 m/s^{2}}}$

Finally:

$t=1.106 s$

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2 years ago

a bag containing some widgets weighing 81 kg. when 2 of the widgets are removed, the weight of the bag drops to 73kg. the bag wi

Sloan [31]

First I find the individual widget weight

81 - 73 = 2x
8 = 2x
x = 4

Then I find how many widgets were left

73 - 1 = 4y
72 = 4y
18 = y

Y is the amount of widgets left, therefore the amount left is 18

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3 years ago

A factory makes 12 bikes in 3 hours.

zysi [14]

12/3 = x/8

Cross multiply

3x = 96

Eliminate

3x/3 = 96/3

x = 32

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2 years ago

A company sells bottles of vitamin capsules. The graph and table show the linear relationship between the cost per capsule in ce

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Answer: -5

Step-by-step explanation:

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2 years ago

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Please Find the solution to the following system using substitution or elimination: y = 3x + 7 y = -2x -3

Dmitrij [34]

Answer: A (-2, 1)
see image explanation attached

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2 years ago