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2 years ago

What is the equation of the line through the origin and (2, 5)?

Mathematics

2 answers:

adoni [48]2 years ago

7 0

Simplified fraction: 2/5

just olya [345]2 years ago

4 0

Answer:

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

Step-by-step explanation:

$\frac{rise}{run}$

The point is up 5 and went 2 to the right. We can use the equation rise over run to solve for the slope.

You might be interested in

Mei does 6 problems in 18 minutes. How many can she complete in 12 minutes

Dmitriy789 [7]

Do cross multiplication

<u>6</u> = <u>x</u>
18 12

Now cross multiply

(6)(12) = (18)(x)

72 = 18x

Divide both sides by 18

<u>72</u> = <u>18x</u>
18 18

4 = x

So tMei can complete 4 problems in 12 minutes.

5 0

2 years ago

Elizabeth works for Picasso paint supplies. Her annual salary is $72,580. What is Elizabeth’s annual social security deduction?

Nikolay [14]

Social Security's Old-Age, Survivors, and Disability Insurance (OASDI) tax rate for wages paid in 2018 is set by the state at 6.2 % for employees and employers, each. An individual with wages equal to or larger than $128,400 would contribute $7,960.80 to the OASDI program. Since Elizabeth receives a salary of $72,580 from Picasso paint supplies, a lot lower than <span>$128,400, there will be no deduction. </span>

8 0

3 years ago

What's the answer? pls help

Sunny_sXe [5.5K]

Answer: -2

I'm not so sure what it means by slope, but because I saw a pattern between x and y (it decreases by 2 every x value and decreases by 4 every TWO x values) values so I would pick -2. BUT I don't know if the answer is -4.

Step-by-step explanation:

7 0

2 years ago

Find a linear second-order differential equation f(x, y, y', y'') = 0 for which y = c1x + c2x3 is a two-parameter family of solu

Alisiya [41]

Let $y=C_1x+C_2x^3=C_1y_1+C_2y_2$ . Then $y_1$ and $y_2$ are two fundamental, linearly independent solution that satisfy

$f(x,y_1,{y_1}',{y_1}'')=0$
$f(x,y_2,{y_2}',{y_2}'')=0$

Note that ${y_1}'=1$ , so that $x{y_1}'-y_1=0$ . Adding $y''$ doesn't change this, since ${y_1}''=0$ .

So if we suppose

$f(x,y,y',y'')=y''+xy'-y=0$

then substituting $y=y_2$ would give

$6x+x(3x^2)-x^3=6x+2x^3\neq0$

To make sure everything cancels out, multiply the second degree term by $-\dfrac{x^2}3$ , so that

$f(x,y,y',y'')=-\dfrac{x^2}3y''+xy'-y$

Then if $y=y_1+y_2$ , we get

$-\dfrac{x^2}3(0+6x)+x(1+3x^2)-(x+x^3)=-2x^3+x+3x^3-x-x^3=0$

as desired. So one possible ODE would be

$-\dfrac{x^2}3y''+xy'-y=0\iff x^2y''-3xy'+3y=0$

(See "Euler-Cauchy equation" for more info)

6 0

3 years ago

PLS HELP ASAP calculate the distance between the two points. (18, -24) & (87, 100)

GarryVolchara [31]

Answer:

<h3>The answer is 141.90 units</h3>

Step-by-step explanation:

The distance between two points can be found by using the formula

$d = \sqrt{ ({x1 - x2})^{2} + ({y1 - y2})^{2} } \\$

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

(18, -24) & (87, 100)

The distance between them is

$d = \sqrt{ ({18 - 87})^{2} + ({ - 24 - 100})^{2} } \\ = \sqrt{ ( { - 69})^{2} + ( { - 124})^{2} } \\ = \sqrt{4761 + 15376} \\ = \sqrt{20137} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ = 141.90489773...$

We have the final answer as

<h3>141.90 units</h3>

Hope this helps you

5 0

2 years ago