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3 years ago

Hiii please help i’ll give brainliest:)

Mathematics

1 answer:

Elenna [48]3 years ago

7 0

Answer:

oligarchy

Step-by-step explanation:

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if an external point of a circle is at a distance equal to the diameter of the circle from the center of the circle, the length

jeka57 [31]

Let the radius of the circle be r. Then the line from the external point through the center of the circle which extends to the far point on the circle has length 3r .By the tangent - secant theorem

t^2 = 3r * r = 3r^2 ( where t is the length of the tangent).

So t = √(3r^2) = √3r answer.

7 0

3 years ago

Rearrange the standard form of the equation below into y = mx + b by isolating y. <br> 5x − 2y = 6

Minchanka [31]

Answer:

y = $\frac{5}{2}$ x - 3

Step-by-step explanation:

5x - 2y = 6 ( subtract 5x from both sides )

- 2y = - 5x + 6 ( divide through by - 2 )

y = $\frac{5}{2}$ x - 3 ← in slope- intercept form

5 0

3 years ago

D^2(y)/(dx^2)-16*k*y=9.6e^(4x) + 30e^x

MA_775_DIABLO [31]

The solution depends on the value of $k$ . To make things simple, assume $k>0$ . The homogeneous part of the equation is

$\dfrac{\mathrm d^2y}{\mathrm dx^2}-16ky=0$

and has characteristic equation

$r^2-16k=0\implies r=\pm4\sqrt k$

which admits the characteristic solution $y_c=C_1e^{-4\sqrt kx}+C_2e^{4\sqrt kx}$ .

For the solution to the nonhomogeneous equation, a reasonable guess for the particular solution might be $y_p=ae^{4x}+be^x$ . Then

$\dfrac{\mathrm d^2y_p}{\mathrm dx^2}=16ae^{4x}+be^x$

So you have

$16ae^{4x}+be^x-16k(ae^{4x}+be^x)=9.6e^{4x}+30e^x$
$(16a-16ka)e^{4x}+(b-16kb)e^x=9.6e^{4x}+30e^x$

This means

$16a(1-k)=9.6\implies a=\dfrac3{5(1-k)}$
$b(1-16k)=30\implies b=\dfrac{30}{1-16k}$

and so the general solution would be

$y=C_1e^{-4\sqrt kx}+C_2e^{4\sqrt kx}+\dfrac3{5(1-k)}e^{4x}+\dfrac{30}{1-16k}e^x$

8 0

3 years ago

A washer and a dryer cost $790 combined. The washer costs $40 more than the dryer. What is the cost of the dryer?

Pepsi [2]

if the washer and dryer cost $790 then you would divide 790 by 2.

then you will get $395

then you add 40 to $395 and will get $435

so the answer is $435

7 0

3 years ago

What is the solution for log z + 12 = 9?<br><br>A: 000.1 B: -1,000 C: -0.001 D: 1,000

Ivahew [28]

Answer:

z + 12 = 9

Reorder the terms:

12 + z = 9

Solving

12 + z = 9

Solving for variable 'z'.

Move all terms containing z to the left, all other terms to the right.

Add '-12' to each side of the equation.

12 + -12 + z = 9 + -12

Combine like terms: 12 + -12 = 0

0 + z = 9 + -12

z = 9 + -12

Combine like terms: 9 + -12 = -3

z = -3

Simplifying

z = -3

Step-by-step explanation:

8 0

3 years ago