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2 years ago

9

The line passing through which two points is parallel to the line x - 2y = 16?

1 answer:

Naddika [18.5K]2 years ago

5 0

Answer:

E) -4,7 and -2,8

Step-by-step explanation:

parallel lines have same slope

x - 2y = 16

y = 1/2 x -8 slope: 1/2

E. slope = Δy / Δx = (8-7) / (-2 - -4) = 1/2

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If the ratio of y to x is equal to 3 and the sum of y and x is 80, what is value of y

Rus_ich [418]

Answer:

y = 60

Step-by-step explanation:

<h3>Step 1: Make sense of the given</h3>

"The ratio of y to x is 3"

This means that, $y\div x=3$

"The sum of y and x is 80"

This means, $x+y=80$

<h3>Step 2: Make use of the facts</h3>

If $y\div x=3$ , then $y = (3*x)$ .

We can plug this into the other equation by substitution:

$x + (3 * x)=80$

This simplifies to:

$4x = 80$

Which we can solve out and get:
$x=20$ .

<h3>Step 3: Plug and Chug</h3>

We solved for x, but we need the value of y.

So, we go back to the equation we first derived: " $y = (3*x)$ ".

And now we substitute the value of x, into this.

$y = (3 * (20))$

By solving this out, we get:
$y=60$

So, the value of y is 60.

3 0

1 year ago

Use the method of reduction of order to find a second independent solution of the given differential equation. t2y'' + 3ty' + y

Charra [1.4K]

I assume you mean $y_1=t^{-1}$ , and not $y_1=t-1$ , since this doesn't satisfy the ODE.

Assume a second solution of the form $y_2=vy_1$ , where $v$ is a function of $t$ . Then

${y_2}'=v'y_1+v{y_1}'$

${y_2}''=v''y_1+2v'{y_1}'+v{y_1}''$

Substituting into the ODE gives

$t^2\left(\dfrac{v''}t-\dfrac{2v'}{t^2}+\dfrac{2v}{t^3}\right)+3t\left(\dfrac{v'}t-\dfrac v{t^2}\right)+\dfrac vt=0$

$\implies tv''+v'=0$

$\implies(tv')'=0$

$\implies tv'=C$

$\implies v'=\dfrac Ct$

$\implies v=C_1\ln|t|+C_2$

$\implies y_2=\dfrac{\ln t}t$

where we omit the second term because it's already accounted for by $y_1$ .

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3 years ago

8>3+t/4 what is the answer

salantis [7]

Answer:

Subtract 3 from 8.... 5 > t/4
Multiply both sides by 4... 5/4 > t
The answer is t < 5/4

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3 years ago

The ratio of boys to girls in a class is 3:2. If there are 36 boys then how many girls are in the class

Mama L [17]

Answer:

They are 12 girls in class

Step-by-step explanation:

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dalvyx [7]

Answer is C hope this helps

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2 years ago

Read 2 more answers