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3 years ago

The sum of two numbers is 108. the difference of the same numbers is 78. what are the numbers

Mathematics

1 answer:

Nimfa-mama [501]3 years ago

4 0

The sum of two numbers:

x + y = 108

The difference of the same two numbers:

x - y = 78

We can use substitution to figure out x and y:

x - y = 78 can be changed to x = 78 + y

We can plug this into the first equation:

78 + y + y = 108

78 + 2y = 108

2y = 30

y = 15

Now solve for x using any of the two equations. I'll use the first equation since it's easier:

x + 15 = 108

x = 93

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Answer:

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Step-by-step explanation:

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2 years ago

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Katena32 [7]

Answer:

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Step-by-step explanation:

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Now that we've found the vertical component of the velocity and launch, we can use kinematics equation $v_f^2=v_i^2+2a\Delta y$ to solve this problem, where $v_f/v_i$ is final and initial velocity, respectively, $a$ is acceleration, and $\Delta y$ is distance travelled. The only acceleration is acceleration due to gravity, which is approximately $9.8\:\mathrm{m/s^2}$ . However, since the projectile is moving up and gravity is pulling down, acceleration should be negative, represent the direction of the acceleration.

What we know:

$v_i=20\sqrt{3}\text{ m/s}$
$a=-9.8\:\mathrm{m/s^2}$
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Solving for $v_f$ :

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3 years ago

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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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2 years ago

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victus00 [196]

Answer:

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Step-by-step explanation:

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Hope it will help ^_^

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