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BaLLatris [955]
2 years ago
12

HELP ME PLEASE, I GOT STUCK AND IT'S DUE TODAY!!

Mathematics
2 answers:
Delvig [45]2 years ago
7 0

Answer:

23. 1/5 24.7/10 25. 23/50

Anastasy [175]2 years ago
5 0

Answer:

his is correct

Step-by-step explanation:

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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
2 years ago
What is the slope-intercept form of the function described by this table?
Firdavs [7]

Answer:

Someone deleted my answer, which sucks cuz I know there are a bunch of students who pretty much need this so here it goes; the answer is <em>y=5x+3</em>

Step-by-step explanation:

I did this math problem a long time ago, I don't remember how I got the answer, I just have the answer lol

4 0
3 years ago
Read 2 more answers
In which number does the 5 represent 5x 10,000?
lyudmila [28]
It would be 50,000, because 5*10,000=50,000.
6 0
2 years ago
Pls help with this question 1-5 thanks
belka [17]

maybe 1/5 (409) ::(880) 1+2

5 0
3 years ago
First ten nonzero multiples of 10
Ray Of Light [21]
10, 20, 30, 40, 50, 60, 70, 80, 90, 100
8 0
3 years ago
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