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2 years ago

Write the equation that represents the line shown.

Mathematics

1 answer:

Semmy [17]2 years ago

3 0

Answer:

$y = - x + 2$

Step-by-step explanation:

$y = mx + b$

$y = \frac{ - 2}{2} x + 2$

$y = - x + 2$

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A car can travel 65 miles in 1 hour. If the car continues at that speed for 12 hours, how many miles will it travel? (please sho

seropon [69]

A car can travel 65 miles per hour.

Over 12 hours, it will travel 780 miles.

12 * 65 = 780

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2 years ago

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Consider the initial value problem:

Inessa [10]

Answer:

$\left \{ {{u'=v} \atop {v'=5v-6u-5\sin(2t)}} \right. \\u(0)=-5;u'(0)=2$

Step-by-step explanation:

The given initial value problem is;

$y''-5y'+6y=-5\sin(2t)---(1)\\y(0)=-5,y'(0)=2$

Let

$u(t)=y(t)----(2)\\v(t)=y'(t)----(3)$

Differentiating both sides of equation (1) with respect to $t$ , we obtain:

$u'(t)=y'(t)---(4)\\ \\\implies u'(t)=v(t)---(5)$

Differentiating both sides of equation (2) with respect to $t$ gives:

$v'(t)=y''(t)----(6)$

From equation (1),

$y''=5y'-6y-5\sin(2t)\\y''=5v(t)-6u(t)-5\sin(2t)\\\implies v'(t)=5v(t)-6u(t)-5\sin(2t)----(7)$

Putting t=0 into equation (2) yields

$u(0)=y(0)\\\implies u(0)=-5$

Also putting t=0 into equation (3)

$u'(0)=y'(0)\\u'(0)=2$

The system of first order equations is:

$\left \{ {{u'=v} \atop {v'=5v-6u-5\sin(2t)}} \right. \\u(0)=-5;u'(0)=2$

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3 years ago

HELP ME WITH THIS MATH

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Step-by-step explanation:

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3 years ago

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Step-by-step explanation:

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