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natka813 [3]
3 years ago
12

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

Mathematics
1 answer:
patriot [66]3 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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You can represent the measures of an angle and its complement as x °and (90 - x). Similarly, you can
Tanzania [10]

Answer:

  1. 33°
  2. 90° -J°

Step-by-step explanation:

<h3>1)</h3>

If x represents the measure of the angle, its complement is 90-x. The problem statement tells us ...

  x +24 = 90 -x

  2x = 66 . . . . . add x-24

  x = 33 . . . . . . divide by 2

The measure of the angle is 33°.

__

<h3>2)</h3>

Using J for x in the given complement relation:

The measure of the complement of J° is (90 -J)°.

5 0
3 years ago
The speed of the current is 7 mph. The boat travels three times slower against the current than with the current. What is the sp
kotykmax [81]
Let the speed of the boat be x
so going against the current the speed is x-7
going with the current the speed is x+7

let the distance be d
time = distance / speed
time to go against the current = d/(x-7)
time to go with the current = d/(x+7)

time going against the current is 3 times going <span>with the current
</span>
d/(x-7) = 3d/(x+7)     ⇒⇒⇒ divide by d 
1/(x-7) = 3/(x+7) 
x+7 = 3(x-7) 
x+7 = 3x - 21
2x = 28
x = 14

So, the speed of the boat in still water is = 14 mph
3 0
3 years ago
a rectangular plot is 30 meters longer than it is wide its area is 15000 square meters. which equation will help you find the di
Damm [24]
Let the breadth of the plot = X
Then,the length of the plot = 30+X
The area of the plot= (l)(b)
=X(30+X)=15000(given)
=30X+X^=15000
=x^+30x-15000=0
Then,solve to the value of x...

Thanks!
5 0
3 years ago
Read 2 more answers
Quick please help. what is the missing value of y-4=-2(x+3)y−4=−2(x+3)
Reil [10]

Answer:

fiduciary bin tashfeen Ivey on ppl cindy no

3 0
3 years ago
PLEASE HELP!!! NEED WITHIN 5 MINUTES!!<br> The picture is down below
kari74 [83]

Answer:

1.

Mean: 65

MAD: 6.4

2.

Mean: 60.5

MAD: 6.4

3. The diference of the means are 4.5

I’m sorry, I do not understand the last one.

Step-by-step explanation:

The mean is the average, add all of the values and divide the result by the number of values. The MAD is the mean absolute deviation. You find it by taking the distance between the values and the mean. You then add them together and divide it by the mean. I really hope this helps you!

7 0
2 years ago
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