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3 years ago

PLEASE HELP

Mathematics

2 answers:

FromTheMoon [43]3 years ago

8 0

Answer:

10.3 (Rounded up)

Step-by-step explanation:

Pythagorean's theorem.

a^2 + b^2 = c^2

You're finding c^2, which is the direct path she would take to get back home. 9^2 + 5^2 is 81 + 25 = 106. Square root of 106 is 10.3 rounded up.

UNO [17]3 years ago

5 0

Approximately 11 blocks

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Sunny_sXe [5.5K]

The answer is 4/7
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4 0

4 years ago

If m∠DEF = (5x−8)°. Which equation would you use to find the value of x?

dimulka [17.4K]

Answer:

5x-8=90

Step-by-step explanation:

Thale’s Theorem

5x-8=90

5 0

3 years ago

Help plz??????????????????????????????

Juliette [100K]

I would go with -15 that’s what I came up with

8 0

4 years ago

Use Laplace transform methods to solve the differential equation: The initial conditions are f(0) = 0 and <img src="https://tex.

Llana [10]

Answer:

Step-by-step explanation:

$\frac{d^2 y}{dt^2} +12\frac{dy}{dt} +32y = 10e^{-2t}$ where f(x) is replaced by y

Take Laplace on both sides

$s^2 Y -s(0)-0 +12s Y-0+32Y = \frac{10}{s+2} \\Y(s^2+12s+32) = \frac{10}{s+2}\\Y = \frac{10}{(s+2)(s+4)(s+8)}$

We can resolve into partial fraction to get Y = L(y)

Let this equals

$\frac{A}{s+2} +\frac{B}{s+4} +\frac{C}{s+8} \\10 = A(s+4)(s+8) + B(s+2)(s+8) +Cs+4)(s+2) \\$

Solving we get

s=-9

24C = 10 or C =5/12

s=-2: A=10/12=5/6

s=-4: B = -5/4

Taking inverse Laplace

$y(t) = \frac{-5e^{-4t} }{4} + \frac{5e^{-8t} }{12} +\frac{-5e^{-2t} }{6}$

6 0

3 years ago

Miguel bikes 23 km per hour and starts at mile 10. Gabby bies 28 km per hour and starts at mile 0. Which system of linear equati

pashok25 [27]

Answer:

y = 23x + 10

y = 28x + 0

Step-by-step explanation:

Given that:

Miguel :

Velocity = 23 km/hr

Starting position = 10 miles

Gabby:

Velocity = 28 km/hr

Starting position = 0 miles

The general form of a linear equation :

y = mx + c

In the scenario above ; the starting points corresponds to the intercept, c

The distance moved per hour (velocity) is the slope (m), which is the change in y per unit change in x

Hence ;

Miguel:

y = 23x + 10

Gabby:

y = 28x + 0

5 0

3 years ago