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3 years ago

How do I find the distance between (-2,5) and (22,12)

Mathematics

2 answers:

Andrew [12]3 years ago

8 0

Answer:

The distance between the two points is 25.

Step-by-step explanation:

In order to find the distance between two points in the coordinate plane, you must first make a right triangle and use the Pythagorean Theorem to solve for the missing side, which is the distance between the points. Sometimes, it is best to graph the points to get a visual of the triangle, however, you can also find the lengths of the legs ('a' and 'b') by finding the distance between your x and y values. In this case, there are 24 points between the x-values and 7 points between the y-values. These represent our legs in the Pythagorean Theorem: a² + b² = c². Filling in the values for 'a' and 'b' gives us: 24² + 7² = c² or 576 + 49 = 625. In order to find c, we need to take the √625, which is 25. So, the distance between the points given is 25.

jok3333 [9.3K]3 years ago

6 0

$\bf ~~~~~~~~~~~~\textit{distance between 2 points} \\\\ (\stackrel{x_1}{-2}~,~\stackrel{y_1}{5})\qquad (\stackrel{x_2}{22}~,~\stackrel{y_2}{12})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ d=\sqrt{[22-(-2)]^2+[12-5]^2}\implies d=\sqrt{(22+2)^2+(12-5)^2} \\\\\\ d=\sqrt{24^2+7^2}\implies d=\sqrt{625}\implies d=25$

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Pls help! Pls do this step by step . factorise: m^3-27

Verdich [7]

Answer:

m-3

Step-by-step explanation:

cube root the two to get m-3

7 0

3 years ago

6-4x=6x-8x+8 find the value of x

ad-work [718]

Answer:

x = -1

Step-by-step explanation:

6 − 4x = 6x − 8x + 8

Combine 6x and −8x to get −2x.

6 − 4x = −2x + 8

Add 2x to both sides.

6 − 4x + 2x = 8

Combine −4x and 2x to get −2x.

6 − 2x = 8

Subtract 6 from both sides.

−2x = 8 − 6

Subtract 6 from 8 to get 2.

−2x = 2

Divide both sides by −2.

$x = \frac{2}{-2}$

Divide 2 by −2 to get −1.

$x = 1$

Hope this helps and have a great day! =D

7 0

3 years ago

Read 2 more answers

Given the sequence 1/2 ; 4 ; 1/4 ; 7 ; 1/8 ; 10;.. calculate the sum of 50 terms

miv72 [106K]

Hint :-

Break the given sequence into two parts .
Notice the terms at gap of one term beginning from the first term .They are like $\dfrac{1}{2},\dfrac{1}{4},\dfrac{1}{8}$ . Next term is obtained by multiplying half to the previous term .
Notice the terms beginning from 2nd term , $4,7,10,13$ . Next term is obtained by adding 3 to the previous term .

Solution :- 

We need to find out the sum of 50 terms of the given sequence . After splitting the given sequence ,

$\implies S_1 = \dfrac{1}{2},\dfrac{1}{4},\dfrac{1}{8}$ .

We can see that this is in Geometric Progression where 1/2 is the common ratio . Calculating the sum of 25 terms , we have ,

$\implies S_1 = a\dfrac{1-r^n}{1-r} \\\\\implies S_1 = \dfrac{1}{2}\left[ \dfrac{1-\bigg(\dfrac{1}{2}\bigg)^{25}}{1-\dfrac{1}{2}}\right]$

Notice the term $\dfrac{1}{2^{25}}$ will be too small , so we can neglect it and take its approximation as 0 .

$\implies S_1\approx \cancel{ \dfrac{1}{2} } \left[ \dfrac{1-0}{\cancel{\dfrac{1}{2} }}\right]$

$\\\implies \boxed{ S_1 \approx 1 }$

$\rule{200}2$

Now the second sequence is in Arithmetic Progression , with common difference = 3 .

$\implies S_2=\dfrac{n}{2}[2a + (n-1)d]$

Substitute ,

$\implies S_2=\dfrac{25}{2}[2(4) + (25-1)3] =\boxed{ 908}$

Hence sum = 908 + 1 = 909

7 0

3 years ago

How do you solve: secx=-5/2, tanx<0 Find all six trig functions

Brut [27]

Answer:

sec theta = (sqrt24/5) cos theta = -2/5 tan theta = (-[sqrt 21]/2) sec theta = 5/2 csc theta = (5sqrt21)/21 cot theta = (-2sqrt21)/21

Step-by-step explanation:

During the problem, secx = -5/2, we can assume that as cos = -2/5. -2 = x. 5 = r. find for Y with: x^2+y^2=r^2. After that, plug in for the variables and you get all the answers. Rationalize the square roots, don't forget.

5 0

3 years ago

If joe has12 checkers and 5/6 of them are red how many are red

natta225 [31]

Given:

The number of checkers is 12.

The number of red is 5/6 times of 12.

Multiply 5/6 and 12 to find the number of red.