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3 years ago

Distance formula from the origin?

Mathematics

1 answer:

Anarel [89]3 years ago

4 0

Step-by-step explanation:

I'm not entirely sure what you mean by "from the origin", but hopefully this helps.

The distance formula for a Cartesian coordinate system (your standard x-y graph) is $d=\sqrt{(x1-x2)^{2}+(y2-y1)^{2}}$ .

If you're measuring "from the origin", that just means one of your points is (0,0).

For example, if you were to measure between the origin and the point (1,4) your formula would look like this:

$d=\sqrt{0-1)^{2}+(0-4)^{2}}\\d=\sqrt{(-1)^{2}+(-4)^{2}} \\d=\sqrt{1+16} \\d=\sqrt{17}$

So, the distance between the origin and (1,4) is $\sqrt{17}$ .

I hope this helps! Please let me know if you have any other questions!

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The triangle shown is classified as

koban [17]

Answer:

b. Right, isosceles

Step-by-step explanation:

right because it has a right angle at the top corner

isosceles because two sides of the triangle are equal to each others

5 0

3 years ago

Solve using the elimination method. <br> show your work <br> 2x - y = 6 <br> x + y = 6

bekas [8.4K]

Answer:

x=4, y=2

Step-by-step explanation:

2x - y = 6

x + y = 6

Add these together to eliminate y

2x - y = 6

x + y = 6

-----------------

3x = 12

Divide by 3

3x/3 = 12/3

x=4

But we still need y

x+y =6

4+y =6

Subtract 4 from each side

4+y-4 = 6-4

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3 years ago

Simplify algebraic equation x^2-4/x^2+2x

hram777 [196]

Answer:

Simplification of algebric expression is $\frac{x^{2} - 2x^{3}-4 }{x^{2} }$

Step-by-step explanation:

Simplify any algebric expression means to write an equivalent expression in which all similar terms combined and remove all symbols such as brackets.

The given algebraic equation is $x^{2} -\frac{4}{x^{2} } +2x$

now for simplifying it

First of all take L.C.M of $x^{2}$

= $\frac{x^{2} (x^{2}) -4 + 2x(x^{2} )}{x^{2} }$

We get $\frac{x^{2} -4+2x^{3}}{x^{2} }$

Further we can write it as $\frac{x^{2} - 2x^{3}-4 }{x^{2} }$

Simplification of algebric expression is $\frac{x^{2} - 2x^{3}-4 }{x^{2} }$

Learn more about Simplification of algebric expression here -https://brainly.ph/question/4896810

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3 years ago

while swimming a 2km race, Adam changes from breaststroke to butterfly every 200m. How many times does he switch strokes during

aleksley [76]

in the first half he would have swam 1 km. there are 1000m in a km so 1000/200=5 so he swam the first 200 fly, then a 200 breast, then a 200 fly again, then another 200 breast the finish the first 1 km with a 200 fly. so we switched strokes 4 times.

PS i wouldn't recommend doing a 2 km swim fly and breast

8 0

4 years ago

Read 2 more answers

A 20-volt electromotive force is applied to an LR-series circuit in which the inductance is 0.1 henry and the resistance is 30 o

Dafna1 [17]

Answer:

$i(t)=(2/3)(1-e^{-300t})$

Step-by-step explanation:

Before we even begin it would be very helpful to draw out a simple layout of the circuit. Then we go ahead and apply kirchoffs second law(sum of voltages around a loop must be zero) on the circuit and we obtain the following differential equation,

$-V +Ldi/dt+Ri=0$

where V is the electromotive force applied to the LR series circuit, Ldi/dt is the voltage drop across the inductor and Ri is the voltage drop across the resistor. we can re write the equation as,

$di/dt+Ri/L=V/L$

Then we first solve for the homogeneous part given by,

$di/dt+Ri/L=0$

we obtain,

$i(t)_{h} =I_{max}e^{-Rt/L}$

This is only the solution to the homogeneous part, The final solution would be given by,

$i(t)=i(t)_{h} +c$

where c is some constant, we added this because the right side of the primary differential equation has a constant term given by V/R. We put this in the main differential equation and obtain the value of c as c=V/R by comparing the constants on both sides.if we put in our initial condition of i(0)=0, we obtain $I_{max} =V/R$ , so the overall equation becomes,

$I(t)=(V/R)(1-e^{-Rt/L})$

where if we just plug in the values given in the question we obtain the answer given below,

$i(t)=(2/3)(1-e^{-300t})$

5 0

3 years ago

Distance formula from the origin? ​

Distance formula from the origin?