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3 years ago

Write an equation perpendicular to y = 3/4x that passes through the point(3,-3)

Mathematics

1 answer:

ryzh [129]3 years ago

5 0

Step-by-step explanation:

the slope perpendicular to y= ¾x is

-1 ÷ ¾ = -4/3

so the equation :

y-(-3)= -4/3(x-3)

y+3= -4/3x +4

y = -4/3x +4-3

y = -4/3x + 1

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Kara and Kevin are siblings, and have decided to discuss the idea of allowance with their parents since all of their friends get

wolverine [178]

Kara will have more money. By the end of the week, she will have $21, Kevin on the other hand will only have $1.75.

3 0

3 years ago

Someone help me with this ASAP

ratelena [41]

Answer:

Step-by-step explanation:

Bag A contains 9(5/9) pounds of coffee

Bag B contains 9(2/3) pounds of coffee

Which bag contains less coffee?

( 2/3) is the same as (6/9)

Now that the denominators are the same, if we compare the numerators, 5 is less than 6 (5 parts of 9 is less than 6 parts of 9)

Bag A contains less coffee than bag B

9(5/9) < 9(2/3)

A) 0.73

B) 21.93

C) 7.67

5&5-----------5

10&14------------2

20&36-----------2

8 0

3 years ago

Read 2 more answers

Use the variation of parameters method to solve the DR y" + y' - 2y = 1

postnew [5]

Answer:

$y(t)\ =\ C_1e^{-2t}+C_2e^t-t\dfrac{e^{-2t}}{3}-\dfrac{1}{3}$

Step-by-step explanation:

As given in question, we have to find the solution of differential equation

$y"+y'-2y=1$

by using the variation in parameter method.

From the above equation, the characteristics equation can be given by

$D^2+D-2\ =\ 0$

$=>D=\ \dfrac{-1+\sqrt{1^2+4\times 2\times 1}}{2\times 1}\ or\ \dfrac{-1-\sqrt{1^2+4\times 2\times 1}}{2\times 1}$

$=>\ D=\ -2\ or\ 1$

Since, the roots of characteristics equation are real and distinct, so the complementary function of the differential equation can be by

$y_c(t)\ =\ C_1e^{-2t}+C_2e^t$

Let's assume that

$y_1(t)=e^{-2t}$ $y_2(t)=e^t$

$=>\ y'_1(t)=-2e^{-2t}$ $y'_2(t)=e^t$

and g(t)=1

Now, the Wronskian can be given by

$W=y_1(t).y'_2(t)-y'_1(t).y_2(t)$

$=e^{-2t}.e^t-e^t(-e^{-2t})$

$=e^{-t}+2e^{-t}$

$=3e^{-t}$

Now, the particular solution can be given by

$y_p(t)\ =\ -y_1(t)\int{\dfrac{y_2(t).g(t)}{W}dt}+y_2(t)\int{\dfrac{y_1(t).g(t)}{W}dt}$

$=\ -e^{-2t}\int{\dfrac{e^t.1}{3.e^{-t}}dt}+e^{t}\int{\dfrac{e^{-2t}.1}{3.e^{-t}}dt}$

$=\ -e^{-2t}\int{\dfrac{1}{3}dt}+\dfrac{e^t}{3}\int{e^{-t}dt}$

$=\dfrac{-e^{-2t}}{3}.t-\dfrac{1}{3}$

$=-t\dfrac{e^{-2t}}{3}-\dfrac{1}{3}$

Now, the complete solution of the given differential equation can be given by

$y(t)\ =\ y_c(t)+y_p(t)$

$=C_1e^{-2t}+C_2e^t-t\dfrac{e^{-2t}}{3}-\dfrac{1}{3}$

5 0

3 years ago

In a lottery, a 4 digit number from 0000 to 9999 is randomly selected. Find the probability that the number selected begins with

Bingel [31]

Since the choices is from 0000 to 9999, therefore there are a total of 10,000 possibilities.

The possibilities that the number begins with a 3 and ends in a 2 or 0 is:

possibilities = 1 * 10 * 10 * 1 + 1 * 10 * 10 * 1 = 200

Therefore the probability is:

P = 200 / 10,000 = 0.02 = 2%

<span>So there is a 2% probability.</span>

4 0

4 years ago

1/2 divided by N equals 1/3<br> what is N?

Veronika [31]

You said that (1/2) / N = 1/3

Multiply each side by 'N' : (1/2) = 1/3 N

Multiply each side by 3 : 3/2 = N

or 1-1/2 = N .

8 0

3 years ago

Read 2 more answers