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2 years ago

Which lines are parallel?

Mathematics

1 answer:

kenny6666 [7]2 years ago

8 0

AC and DF are parallel

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What is 2 1/4 equal to

Crazy boy [7]

Answer:

2.25

Step-by-step explanation:

divide

5 0

2 years ago

Read 2 more answers

Solve each equation. Show all steps 4) -8(-6-5k)=-232

Lubov Fominskaja [6]

the answer is k=4.6. hope this helps

6 0

3 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

Peter takes an 8-inch by 3-inch sheet of paper and cuts from one corner of the paper to the diagonally opposite corner. now pete

tekilochka [14]

First get the length of the side the was cut (Hypotenuse).

We can use Pythagorean theorem: a^2+b^2 = c^2
a = 8, b = 3 = 1.5, c = ?

plug into forumla
8^2 + 3^2 = 73

a=8,
b=1.5,
c = sqrt( 73) or 8.5

Now add all sides together to get perimeter...
8+3+8.5 = 19.5

The perimeter of each sheet is 19.5in.

3 0

3 years ago

What is the coefficient in the expression 4x + 2 O2 O4 Ox O+

Amiraneli [1.4K]

A coefficient is a numerical or constant quantity placed before and multiplying the variable in an algebraic expression (e.g. 4 in 4x).

The 2 and + are out since they don't have variables(and the + is just a +).

So 4 and x are left. x is a variable, not a coefficient, so the last(and correct) answer is 4.

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hope it helps

8 0

3 years ago