All categories

3 years ago

Please help with this question

Mathematics

1 answer:

spayn [35]3 years ago

4 0

Answer:

bdjjirलअाफखनल पनपअ लbबजदहडनदजडनफjnnkdffruidirbttjt tjrjnf h

Step-by-step explanation:

uuhsbd?eg\bnothing hereafter hgbg

You might be interested in

5. Show that the following points are collinear. a) (1, 2), (4, 5), (8,9)

Irina-Kira [14]

Label the points A,B,C

A = (1,2)
B = (4,5)
C = (8,9)

Let's find the distance from A to B, aka find the length of segment AB.

We use the distance formula.

$A = (x_1,y_1) = (1,2) \text{ and } B = (x_2, y_2) = (4,5)\\\\d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}\\\\d = \sqrt{(1-4)^2 + (2-5)^2}\\\\d = \sqrt{(-3)^2 + (-3)^2}\\\\d = \sqrt{9 + 9}\\\\d = \sqrt{18}\\\\d = \sqrt{9*2}\\\\d = \sqrt{9}*\sqrt{2}\\\\d = 3\sqrt{2}\\\\$

Segment AB is exactly $3\sqrt{2}$ units long.

Now let's find the distance from B to C

$B = (x_1,y_1) = (4,5) \text{ and } C = (x_2, y_2) = (8,9)\\\\d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}\\\\d = \sqrt{(4-8)^2 + (5-9)^2}\\\\d = \sqrt{(-4)^2 + (-4)^2}\\\\d = \sqrt{16 + 16}\\\\d = \sqrt{32}\\\\d = \sqrt{16*2}\\\\d = \sqrt{16}*\sqrt{2}\\\\d = 4\sqrt{2}\\\\$

Segment BC is exactly $4\sqrt{2}$ units long.

Adding these segments gives

$AB+BC = 3\sqrt{2}+4\sqrt{2} = 7\sqrt{2}$

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

Now if A,B,C are collinear then AB+BC should get the length of AC.

AB+BC = AC

Let's calculate the distance from A to C

$A = (x_1,y_1) = (1,2) \text{ and } C = (x_2, y_2) = (8,9)\\\\d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}\\\\d = \sqrt{(1-8)^2 + (2-9)^2}\\\\d = \sqrt{(-7)^2 + (-7)^2}\\\\d = \sqrt{49 + 49}\\\\d = \sqrt{98}\\\\d = \sqrt{49*2}\\\\d = \sqrt{49}*\sqrt{2}\\\\d = 7\sqrt{2}\\\\$

AC is exactly $7\sqrt{2}$ units long.

Therefore, we've shown that AB+BC = AC is a true equation.

This proves that A,B,C are collinear.

For more information, check out the segment addition postulate.

7 0

3 years ago

HELP PLEASE <br> ILL MARK BRAINLIEST

choli [55]

Answer:

2.3

Step-by-step explanation:

did the math

4 0

3 years ago

Read 2 more answers

Brennans rectangular kitchen has an area of 81 ft.² the kitchen is nine times as many square feet is Brian’s pantry if the recta

svp [43]

The answer is 6561 because 81^2=6561

4 0

3 years ago

Change 2x+y=-4 into slope-intercept form with steps

nikitadnepr [17]

Answer : y = -2x - 4

All you have to do is put y on one side and the 2x on the other side, just make sure to make it negative since you are subtracting it to go on the other side

8 0

3 years ago

Two cars are traveling on two different routes, one 43 miles longer than the other. The car traveling on the longer route travel

Anestetic [448]

Answer:

x1 = 275 miles (shorter)

x2 = 318 miles (longer)

Step-by-step explanation:

Let

x1 = be the shorter route

v1 = speed of the car in the shorter route

t1 = time it took to cover shorter route

x2 = the longer route

v2 = speed of the car in the longer route

t2 = time it took to cover longer route

x1 + 43 = x2 (1)

v2 = v1 -2 (2)

v2 = x2/t2 = x2/6

v1 = x1/t1 = x1/5

This means that

v2 = v1 -2 =>

x2/6 = x1/5 -2

The system of equations results

a. x1 -x2 = -43

b. x1/5 - x2/6 = 2

Solving this system of equations, we find that

x1 = 275 miles

x2 = 318 miles

4 0

3 years ago

Read 2 more answers