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2 years ago

What is the length of this line? khan academy - Distance between two points

Mathematics

1 answer:

patriot [66]2 years ago

3 0

Answer:

D = √[(x2 - x1)² + (y2 - y1)²]

Step-by-step explanation:

Given a right-angled triangle, with sides: Hypotenuse D, and opposites (x2 - x1) and (y2 - y1).

Then by Pythagoras theorem, the square of the hypotenuse is equal to the sum of the squares of the opposite side.

That is,

D² = (x2 - x1)² + (y2 - y1)²

Now, taking square roots of both side, we have the formula for the distance or length D.

D = √[(x2 - x1)² + (y2 - y1)²]

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Solve the system by substitution.<br> (x+3y=9<br> 14.x - 2y = -6

Elina [12.6K]

Answer:

x=0 ,y=3

if you have any questions about the way I solved it,don't hesitate to ask

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2 years ago

Anyone down to help? 12pts for PRE-ALGEBRA question Use the information in the table for 2–4.

Anni [7]

Answer:

See attached image

Step-by-step explanation:

If the number of blueberries is the x value, and number of calories is the y value, then we can create the ordered pairs (5,4) (10,8) (15,12) based on the data in the table.

Plotting these on the graph is simple - just go to the x value then the y value and plot where these lines meet.

The slope of a line is always the rise over run.

Every time our x increases by 5, our y increases by 4. The rise is 4, and run is 5, so the slope is $\frac{4}{5}$

Hope this helped!

8 0

2 years ago

A tow truck company in Houston charges a $40 service call fee and an additional fee of $15 per mile that the vehicle is towed. W

Juliette [100K]

Answer:

Step-by-step explanation:

Step one:

given data

charged = $40 call fee

additional charges= $15 per mile

let the number of miles be m

and let the total charges be c

Required, the linear function which represents the total charges

Step two:

the equation for the charges in slope-intercept form is

c=15m+40

7 0

2 years ago

A council of three people is to be chosen from a group of 4 lawyers, one artist, and 3 teachers

padilas [110]

Answer: 0.2857

<u>Step-by-step explanation:</u>

At least one teacher means exactly 1 or exactly 2 or exactly 3 teachers. Find the probability of each and add them up.

$\text{One teacher}:\dfrac{3\ teachers}{8\ total\ people}\times\dfrac{5\ others}{7\ people}\times \dfrac{4\ others}{6\ people}=\dfrac{5}{28}=0.1786\\\\\\\text{Two teachers}:\dfrac{3\ teachers}{8\ total\ people}\times\dfrac{2\ teachers}{7\ people}\times\dfrac{5\ others}{6\ people}=\dfrac{5}{56}=0.0893\\\\\\\text{Three teachers}:\dfrac{3\ teachers}{8\ total\ people}\times\dfrac{2\ teachers}{7\ people}\times\dfrac{1\ teacher}{6\ people}=\dfrac{1}{56}=0.0179$

One teacher + Two teachers + Three teachers = 0.2857

4 0

2 years ago

NEED ASAP

netineya [11]

Answer:

Supplementary

Step-by-step explanation:

135+45 =180

So Option C

3 0

2 years ago